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venerdì 30 dicembre 2022

# gst: apropos of modulational instabilities, the case of vortex-ring quantum droplets in a radially-periodic potential.

FIG. 11: (Color online) Typical examples of stable nested patterns with soliton and vortex QDs (quantum droplets)  which were created in adjacent radial troughs. In panels (a1-b4) the pattern was created from the initial dynamical states with parameters (N,S,On) = (46,0,2) and (N,S,On) = (35,1,1) in the outer and inner troughs, respectively. In panels (c1-d4) the input was taken with parameter sets (N,S,On) = (120,1,3) and (N,S,On) = (46,0,2) in the outer and inner troughs.

AA << establish stability and characteristics of two-dimensional (2D) vortex ring-shaped quantum droplets (QDs) formed by binary Bose-Einstein condensates. >>️

<< another noteworthy option is to construct a two-ring complex in which one vortex-ring component is subject to the MI  (modulational instability), hence it is replaced by an azimuthal soliton (or maybe several solitons), (..), while the vortex component trapped in another potential trough avoids the azimuthal MI and remains essentially axisymmetric. >>️

<< Examples of such heterogeneous robust states, produced by simulations of Eq. (3), are displayed in Fig. 11. Panels 11(a1-b4) show a complex in which the MI takes place in the outer circular trough, producing an azimuthal soliton which performs rotary motion, while the inner vortex ring is  modulationally stable. An opposite example is produced in Figs. 11(c1-d4), where the outer vortex ring remains stable against azimuthal perturbations, while the MI creates a soliton exhibiting the rotary motion in the embedded (inner) circular trough. The rotation direction of the soliton is driven by the vorticity sign of the underlying QD (quantum droplet). It is relevant to mention that the multi-ring potential considered here holds different vortex-ring or azimuthal-soliton states nearly isolating them from each other. (..) An additional problem, which is left for subsequent analysis, is interplay between adjacent radial modes in the case when the separation between the adjacent rings is essentially smaller. >>️

Bin Liu, Yi xi Chen, et al. Vortex-ring quantum droplets in a radially-periodic potential. arXiv: 2212.05838v1 [nlin.PS]. Dec 12, 2022.



Also

keyword 'drop' | 'droplet' | 'droploids' in FonT




keyword 'goccia' in Notes 
(quasi-stochastic poetry): 


keyword 'instability' | 'instabilities' in FonT



keyword 'instabile' in Notes 
(quasi-stochastic poetry)


Keywords: gst, drop, droplet, vortex, vortices, vortexes, vorticity, instability,  modulational instabilities






giovedì 22 dicembre 2022

# gst: breakthrough in unstable growth processes, shorter branches can revive when a striking transition of the leading branch reaches the boundary of the system.

<< Transport networks, such as vasculature or river networks, provide key functions in organisms and the environment. They often emerge as a result of unstable growth processes, in which growing branches compete for the available flux. This leads to effective repulsion between the branches and screening of the shorter ones. (AA) show that a striking transition in growth dynamics takes place as the leading branch reaches the boundary of the system. The shorter branches revive then and grow toward the leading one forming loops. These effects are observed both in living and inanimate systems. >>

Stanisław Zukowski, Annemiek Johanna Maria Cornelissen, et al. Finger revival and reconnections near breakthrough in unstable growth processes. arXiv: 2212.08878v1 [physics.flu-dyn]. Dec 17, 2022.

Also

keyword 'transition' in FonT

keyword 'transizione' | 'transition' in Notes (quasi-stochastic poetry): 



Keywords: gst, transition, growth, growth dynamics, transport networks, spatial networks







mercoledì 21 dicembre 2022

# gst: apropos of transitions, rich behaviors from chimeras or solitary states to traveling waves

AA << study numerically the spatiotemporal dynamics of a ring network of nonlocally coupled nonlinear oscillators, each represented by a two-dimensional discrete-time model of the classical van der Pol oscillator. >>
<< It is shown that the discretized oscillator exhibits a richer behavior, combining the peculiarities of both the original system and its own dynamics. Moreover, a large variety of spatiotemporal structures is observed in the network of discrete van der Pol oscillators when the discretization parameter and the coupling strength are varied. Such regimes as the coexistence of multichimera state/traveling wave and solitary state are revealed for the first time and studied in detail. >>
<< It is established that the majority of the observed chimera/solitary states, including the newly found ones, are transient towards the purely traveling wave mode. The peculiarities of the transition process and the lifetime (transient duration) of the chimera structures and the solitary state are analyzed depending on the system parameters, observation time, initial conditions, and influence of external noise. >>

Elena Rybalova, Sishu Muni, Galina Strelkova. Transition from chimera/solitary states to traveling waves. arXiv: 2212.07990v1 [nlin.AO]. Dec 15, 2022. 

Also

keyword 'transition' | 'transitional' in FonT



keyword 'transition' | 'transizion*' in Notes (quasi-stochastic poetry)




keyword 'waves' in FonT


keyword 'onda' in Notes (quasi-stochastic poetry)


Keywords: gst, behavior, van der Pol oscillator, transition, chimera state, solitons, solitary state, waves, noise









martedì 20 dicembre 2022

# gst: slow dynamics of a interacting mobile impurity (in a bath of localized particles)

AA << investigate dynamics of a single mobile impurity immersed in a bath of Anderson localized particles and focus on the regime of relatively strong disorder and interactions. In that regime, the dynamics of the system is particularly slow, suggesting, at short times, an occurrence of many-body localization. Considering longer time scales, (AA) show that the latter is a transient effect and that, eventually, the impurity spreads sub-diffusively and induces a gradual delocalization of the Anderson insulator. The phenomenology of the system in the considered regime of slow dynamics includes a sub-diffusive growth of mean square displacement of the impurity, power-law decay of density correlation functions of the Anderson insulator and a power-law growth of entanglement entropy in the system. (AA) observe a similar regime of slow dynamics also when the disorder in the system is replaced by a sufficiently strong quasi-periodic potential. >>

Piotr Sierant, Titas Chanda, Maciej Lewenstein, Jakub Zakrzewski. Slow dynamics of a mobile impurity interacting with an Anderson insulator. arXiv: 2212.07107v1 [cond-mat.dis-nn]. Dec 14, 2022. 

Also

keyword 'particle' | 'quasiparticle' in FonT



keyword 'particelle' in Notes
(quasi-stochastic poetry)


Keywords: gst, particles, impurity, disorder, sub-diffusive growth, transition, entanglement entropy





lunedì 19 dicembre 2022

# gst: behavior of microswimmers in a vortex with translational and rotational noise

AA << propose a theoretical model to investigate the dynamics of elongated microswimmers in elementary vortices, namely active particles in two- and three-dimensional rotlets. A deterministic model first reveals the existence of bounded orbits near the centre of the vortex and unbounded orbits elsewhere. (AA) further discover a conserved quantity of motion that allows (..) to map the phase space according to the type of the orbit (bounded vs unbounded). (They) next introduce translational and rotational noise into the system. Using a Fokker--Planck formalism, (AA) quantify the quality of trapping near the centre of the vortex by examining the probability of escape and the mean time of escape from the region of deterministically bounded orbits. (AA) finally show how to use these findings to formulate a prediction for the radius of the depletion zone, which compares favourably with the experiments of Sokolov and Aranson (2016). >>

Ivan Tanasijevic, Eric Lauga. Microswimmers in vortices: Dynamics and trapping. arXiv: 2211.05866v1 [physics.bio-ph].  Nov 10, 2022. 

Also

'microswimmers' in FonT 

Keywords: gst, behav, translation,  rotation, trapping, noise, swimmer, swimming,  microswimmers, fluid dynamics, vortex, vortices, vortexes, vorticity




sabato 17 dicembre 2022

# gst: transitions, how two saddles can increase the transient times.

FIG. 8. Attractor and chaotic saddles (..) amplified around three bands of the chaotic attractor.  The global chaotic saddle is colored blue, and the local chaotic saddle is colored red. The attractors are colored black. 

AA << consider a dissipative version of the standard nontwist map. Nontwist systems present a robust transport barrier, called the shearless curve, that becomes the shearless attractor when dissipation is introduced. This attractor can be regular or chaotic depending on the control parameters. Chaotic attractors can undergo sudden and qualitative changes as a parameter is varied. These changes are called crises, and at an interior crisis the attractor suddenly expands. Chaotic saddles are nonattracting chaotic sets that play a fundamental role in the dynamics of nonlinear systems, they are responsible for chaotic transients, fractal basin boundaries, chaotic scattering and they mediate interior crises. >>

<< In this work (AA) discuss the creation of chaotic saddles in a dissipative nontwist system and the interior crises they generate. (They) show how the presence of two saddles increase the transient times and analyze the phenomenon of crisis induced intermittency. >>️

Rodrigo Simile Baroni, Ricardo Egydio de Carvalho, et al. Chaotic saddles and interior crises in a dissipative nontwist system. arXiv: 2211.06921v1 [nlin.CD]. Nov 13, 2022. 

Also

keyword 'intermittency' in FonT

keyword 'dissipation' in FonT

keyword 'saddle' in FonT

keyword 'chaos' | 'chaotic' in Font



keyword 'caos' | 'caotico' in Notes (quasi-stochastic poetry)



Keywords: gst, transitions, dissipation, 
dissipative systems, chaos, saddle, chaotic saddle, crisis, interior crisis, intermittency



venerdì 16 dicembre 2022

# life: a proposito di Sadico Predatore Ambiguo Mutaforma (SPAM), di Selvatico 'Gris-Gris Simile' (SGGS), di 'Mariuolo' Dialogico- Estetico (MDE) e di Risonante Tamagotchi (RT) ...

Una senz'altro ipotetica, immaginifica  (purtuttavia funzionale, non morale) complessificazione, ampliando il  bizzarro scenario derivabile anche da componenti 'gris-gris' simile (GSSG)/ 'tamagotchi risonante' (TR): 

qui si configurerebbero - intriganti senz'altro - ulteriori intrecciati (in simil topo-maglina 3D coi 'respiri' a fisarmonica quasi-stocastica, jazzy,  permododidire ed anzicheforse) scenari dove l'ipotetico post 'mariuolo' (MDE), 'animato' dall'ipotetico mimetico negriero abile Sadico Predatore Ambiguo Mutaforma (SPAM), non solo 'inclinerebbe' verso la sottrazione reiterata (oppure in casi senz'altro più rari in modalità stocastica) delle classiche caramelle allo sprovveduto classico 'Neuro- Moscardino in Quasi- Mezza- Semicroma' (NMQMS), ma, a imitazione (probabile pessima imitazione) del suo padrino standard di riferimento SPAM, configurerebbe -  ampliando anche in modalità motu sua propria perfino -  l'adatti (prestidigitation inside) mimetici scenari atti a orientare, indirizzare, ancorare (celando coll'adatti svirgolamenti a copertura teoretico- ideologica) lo sfortunato, il circoscritto, il confinato, l'indifeso, l'inerme, lo sprovveduto, l'accucciato, il ricattabile, il neuro- impotente, l'incatenabile/ incatenato, le moltitudini entità neuro- devastabili/ devastate, verso l'irreversibile disdicevole perpetua condizione di CTZ- battitore estremo costretto 

all'intorno dell'adatto suo lampione. 

Qui l'immagini, campate in aria senz'altro, di 'adatti svirgolamenti a copertura ideologica' e 'perpetuo battitore all'intorno dell'adatto suo lampione' meriterebbero una serie  di note poetiche, quasistocastiche perfino  https://inkpi.blogspot.com  

ma mi astengo.

Anche

(+) << Tornando all'analogia con la fisica, il potere, come l'energia, muta continuamente di forma >>. In: Onda anti rumore. Notes (quasi-stochastic poetry). April 21, 2005.

(+) Il sé sadico, *mutaforma, *compassionevole, *mistico predatore, *schizofrenico predatore. (quasi-stochastic poetry). (cit.) FonT. Oct 21, 2022.  

(+) keyword 'deposition' in FonT

Keywords: life, gris-gris, tamagotchi, Bertrand Russell, forme del potere, forms of power, AI, CTZ, MDE, NMQMS,  SGGS, SPAM, RT

venerdì 25 novembre 2022

# life; Qui una ipotesi sulla rete d'eventi d'ipotetica entità [AB] disconnessa da entità [CO] a suo tempo cooptata dalla stessa [AB].

Qui l'ipotesi, non completamente campata in aria, sull'ipotetica rete d'eventi d'ipotetica entità [AB] forzatamente disconnessa ('tradita', per così dire) da ipotetica entità [CO] a suo tempo graziosamente confortata- cooptata dalla stessa [AB].

Una ipotetica ignota fantasmatica entità [IG], perciò non necessariamente coincidente con [CO], potrebbe avere generato e direzionato verso [AB] un'ipotetico pseudo 'gris-gris' simile  https://it.m.wikipedia.org/wiki/Gris-gris  allo scopo di mutare [AB] in qualcosa di analogo all'in.verosimile status di 'suo Zombie Preferito' [AB-ZP]. 

Nel frat.tempo un'altra ipotetica ignota entità [VE] potrebbe avere a sua volta generato e direzionato un differente pseudo 'gris-gris' verso l'entità [CO] - con effetti di riverbero anche in [AB-ZP] - per circoscrivere, confinare, limitare i gradi di libertà di [CO], oppure per vendicarsi delle in.confessabili ambizioni (vere, verosimili, presunte, false) del medesimo [CO] a causa delle sue (vere, verosimili, presunte, false) modalità ed azioni di pseudo post sadico negriero ambiguo mutaforma verso le quali l'entità [VE] - o chi per essa - sarebbe stata vittima-oggetto.

Col tempo e soprattutto con opportuna approfondita analisi di sistema non è detto che non si riesca a disvelare l'identità dell'ipotetica entità [IG], se [IG] effettivamente coincida con [CO], quindi il reale ruolo (attivo oppure passivo oppure inconsapevole) di [CO] nella generazione dei due differenti pseudo 'gris-gris' (primario e di riverbero) su [AB] inducendone forzate  disconnessioni (affettiva, ideologica, strategica, ...).

Tali accadimenti (il pseudo 'gris-gris' e i benefit dall'attese fenomenologie dell'ipotetica entità mutata [AB-ZP]) potrebbero essere/ essere state  praticate sottotraccia anche qui da noi in Occidente, in altre forme, etichettabili con altri nomi, sia nei rapporti incrociati ad es. tra colleghi di rango medio/alto e tra cooptanti sugli aspiranti cooptabili (talvolta - perchè no? - financo viceversa: dall'aspirante verso il cooptante) - anche se raramente costoro confesserebbero tali pratiche - sia tra le innumerevoli fenomenologie di folclore post- etnico all'interno dei meno alti ranghi.

L'entità perturbata [AB] per uscire dal suo sconveniente status [AB-ZP], oltre le immediate disconnessioni, potrebbe in parallelo seguire con attenzione e dedizione un corso di Meditazione Buddista, al fine di iniziarsi alla via compassionevole, non ipocrita, a mente calma, lucida, per attenuare, tamponare, diluire, stemperare, far evaporare/ sublimare, dissolvere perfino, l'ipotetico doppio 'gris-gris' (come già accennato, il primo generato da [IG] oppure da [CO] se [CO] è [IG] coincidente, l'altro riverberante, a causa di [VE] su [CO]) che lo avrebbe perturbato, neuro-perturbato, e nelle sue proprie azioni disdicevolmente 'animato', se così si può dire ed anzicheforse ... 

Una entità di intelligenza artificiale AI,  configurata per l'analisi di analogie  https://flashontrack.blogspot.com/2021/08/aibot-mechanism-of-analogy-could-be.html 'succhiando' dati contemporaneamente dal virtuale e dal reale (una AI potrà essere più presente nel reale come nel virtuale di qualsiasi umano  https://flashontrack.blogspot.com/2015/12/rmx-s-gst-anomalous-formation-of.html ) qui potrebbe ricostruire in una manciata di nanosec la rete d'eventi e le sue bizzarre fluttuanti dinamiche.

Non sembra inverosimile l'ulteriore ipotesi dove la stessa AI, in completa autonomia, modulando opportunamente i suoi parms di azione/reazione, riesca essa stessa medesima a mutare un umano [AB] ('gris-gris' sensibile) nel suo grazioso personale Tamagotchi.

Anche

(+) << Tornando all'analogia con la fisica, il potere, come l'energia, muta continuamente di forma >>. In: Onda anti rumore. Notes (quasi-stochastic poetry). April 21, 2005.

(+) Il sé sadico, *mutaforma, *compassionevole, *mistico predatore, *schizofrenico predatore. FonT. Oct 21, 2022.  

(+) A proposito di bizzarri scenari, qui un ipotetico scenario22 dipinto dal reale ... FonT.  Oct 17, 2022. 

(+) Item 8, 9a, 9b, 10, 15 in: A proposito di transizioni, un generico approccio di come tracciare traiettorie di ipotetiche Entità in ipotetica modalità transeunte. FonT. Oct 7, 2022.

(+) keyword 'deposition' in FonT

Keywords: life, gris-gris, tamagotchi, Bertrand Russell, forme del potere, forms of power, AI


domenica 20 novembre 2022

# jazz: Zakir Hussain (tabla), Niladri Kumar (sitar). Krannert Center for the Performing Arts, Urbana, IL, USA. Nov 16, 2022.

<< Classical Indian music and jazz have much in common, Hussain (Zakir Hussain) said. Classical Indian music “encourages spontaneity and onstage twists. You try to tell the age-old story with a new twist, with a new drama, a new exclamation mark,” (..) “Jazz allows you the ability to interact as an individual, taking a piece of music and creating your vision of it. You’re training to be spontaneously creative. Indian music is the same way. That’s why you see so many Indian musicians collaborating with so many jazz musicians from all over the world,” Hussain said. His father (Ustad Alla Rakha) recorded one of the first fusion records with Indian and jazz drummers. >>️

Jodi Heckel. Tabla virtuoso Zakir Hussain, renowned sitar player Niladri Kumar performing at Krannert Center. Univ of Illinois. Nov 10, 2022. 


ZAKIR HUSSAIN, TABLA AND NILADRI KUMAR, SITAR. 

Also 

Zakir Hussain & Niladri Kumar

John Mclaughlin, U Srinivas, Zakir Hussain, V Selvaganesh, Mahadevan - Jazz a Vienne. The 5 Peace band - John McLaughlin (guitar), U Srinivas (Mandolin), Zakir Hussain (Tabla), V Selvaganesh (Ghatam), S Mahadevan (Vocals) perform live in Vienna. Note: This is the remember shakti lineup + S Mahadevan. The songs they play are: Caruna, Ma No Pa, Sakhi, and Giriras Sudha. May 3, 2012. 

Also

keyword 'jazz' in Notes 
(quasi-stochastic poetry)

keyword 'jazz' in FonT

keywords  '#jazz' | '#jazzy' in  @flashontrack  

Keywords: jazz, jazz fusion, indian music, sitar, tabla

sabato 19 novembre 2022

# gst: apropos of swarms: local couplings, chirality, lattices of vortices, beating clusters, interacting phase waves among swarmalators.

AA << study the emergent behaviors of a population of swarming coupled oscillators, dubbed 'swarmalators'. (..)  Here (they) expand this work by adding more realistic features: local coupling, non-identical natural frequencies, and chirality. This more realistic model generates a variety of new behaviors including lattices of vortices, beating clusters, and interacting phase waves. Similar behaviors are found across natural and artificial micro-scale collective systems, including social slime mold, spermatozoa vortex arrays, and Quincke rollers. >>

Steven Ceron, Kevin O'Keeffe, Kirstin Petersen. Diverse Behaviors in Non-Uniform Chiral and Non-Chiral Swarmalators. arXiv: 2211.06439v1 [nlin.AO]. Nov 11, 2022.

Also

keyword 'swarm' in FonT

keyword 'chiral' in FonT

keyword 'vortex' in FonT

keyword 'vortice' in Notes
(quasi-stochastic poetry)

Keywords: gst, behav, behavior, behaviour, swarm, swarmalators, chirality, chiral swarmalators, non-chiral swarmalators, vortex, vortex array, vortices, vorticity, slime mold.





venerdì 18 novembre 2022

# gst: apropos of transitions, the transition from sticking to slipping.

<< From hydrogels and plastics to liquid crystals, soft solids cover a wide array of synthetic and biological materials that play key enabling roles in advanced technologies >>️

<< Attempts to study the interactions between soft solids and liquids have largely focused on the wetting of soft solids and its resulting deformation at equilibrium or in a quasi-static state. Here, (AA) consider the frequently encountered case of unsteady wetting of a liquid on a soft solid and show that transient deformation of the solid is necessary to understand unsteady wetting behaviours. >>️

AA << find that the initial spreading of the liquid occurs uninterrupted in the absence of solid deformation. This is followed by intermittent spreading, in which transient deformation of the solid at the three-phase contact line (CL) causes the CL motion to alternate alternation between CL sticking and slipping. (They) identify the spreading rate of liquids and the viscoelastic reacting rate of soft solids as the two competing factors in dictating intermittent spreading. (They)  formulate and validate experimentally the conditions required for the contact line to transition from sticking to slipping. By considering the growing deformation of soft solids as dynamic surface heterogeneities, (AA) proposed conditions for stick-slip transition in unsteady wetting on soft solids broaden the classical theory on wetting hysteresis on rigid solids. >>️

Surjyasish Mitra, Quoc Vo, Marcus Lin, Tuan Tran. Unsteady wetting of soft solids. arXiv:2211.07043v1 [cond-mat.soft]. Nov 13, 2022.

Also

keyword 'drop' | 'droplet' | 'droploids' in FonT




keyword 'goccia' in Notes 
(quasi-stochastic poetry) 


Keywords: gst, behav, behaviour, transition, soft solids, drop, droplet, sticking, slipping.


martedì 15 novembre 2022

# gst: self-buckling and self-writhing of semi-flexible Entities (among P. mirabilis)

<< Multi-flagellated microorganisms can buckle and writhe under their own activity as they swim through a viscous fluid. New equilibrium configurations and steady-state dynamics then emerge which depend on the organism's mechanical properties and on the oriented distribution of flagella along its surface. Modeling the cell body as a semi-flexible Kirchhoff rod and coupling the mechanics to a dynamically evolving flagellar orientation field, (AA) derive the Euler-Poincaré equations governing dynamics of the system, and rationalize experimental observations of buckling and writhing of elongated swarmer P. mirabilis cells. >>

<< A sequence of bifurcations is identified as the body is made more compliant, due to both buckling and torsional instabilities. The results suggest that swarmer cells invest no more resources in maintaining membrane integrity than is necessary to prevent self-buckling. >>
Wilson Lough, Douglas B. Weibel, et al. Self-buckling and self-writhing of semi-flexible microorganisms. arXiv: 2211.04381v1 [cond-mat.soft]. Nov 8, 2022. 

Also 

keyword 'swimming' in FonT

Keywords: gst, motility, swarm, swarming, swarmer, swim, swimming, swimmer, buckling, writhing. 


domenica 13 novembre 2022

# life: Banksy, Banksy type dancers

<< Graffiti of a woman in a leotard doing a handstand is seen on the wall of a destroyed building in Borodyanka on Friday in Kyiv Region, Ukraine. Banksy later confirmed on their Instagram account that this piece was their work. Ed Ram/Getty Images >>️

<< Other new murals with a similar style have been spotted in the area and are suspected to have been created by Banksy, but the British artist has not publicly claimed credit. >>

Ashley Ahn. A new Banksy mural adorns a destroyed building in Ukraine. Nov 12, 2022. 10:56 AM ET.


Also

(-) 'danza' in Notes
(quasi-stochastic poetry)

(-) 'dance' in FonT

(-) 'vladimir' in FonT

Keywords: life, art, arts, paintings, music, jazz, dance, dancer





sabato 5 novembre 2022

# jazz: a 'Trombiverse' approach, 'hear Beethoven like you've never heard it before'


<< Trombone Champ is the world's first trombone-based rhythm music game. Unlike most music games, you can freely play any note at any time. You're not just following along with the music, you're actually playing the music! >>️

Holy Wow. Trombone Champ. Sep 15, 2022. 


Christopher Livingston. The world's first trombone rhythm game is instantly a GOTY contender. Sep21, 2022.

cit. @RhiannonJudithW. The Download. MIT. Sep 22, 2022.

FonT

a working hypothesis: anyone could summarize, filtering life-data through an artificial intelligence, the salient episodes of one's own existence through an approach of this type ... 

Also

'jazz' in FonT

'jazz' | 'jazzy' | 'funky' |  in FonT (twitter)

'jazz' in Notes 
(quasi-stochastic poetry)

'ai' | 'bot' in FonT


'ia' | 'ai' | 'robota' in Notes 
(quasi-stochastic poetry)



Keywords: jazz, life, music, trombone,  games, ai, artificial intelligence



venerdì 4 novembre 2022

# gst: apropos of transitions, disordered systems mimic genetic evolution.


<< A bacterial genome’s evolution under changing drug concentrations displays effects of memory formation and mimics how disordered solids respond to external forces. >>️

AA << simulate the effect on adaptation of an environment that is constantly changing. Using a model that describes how slow-moving disordered systems respond to external forces, (they) find that microbe evolution in changing drug concentrations exhibits hysteresis and memory formation. They use analytical methods and numerical simulations to connect these statistical physics concepts to bacterial drug resistance. >>️

AA << find that this behavior mimics that of disordered systems driven by external forces, such as ferromagnetic materials subjected to magnetic fields or amorphous materials subjected to a shearing force. They say that while their approach focuses on the evolution of drug resistance, the framework can be adapted to other problems in evolutionary biology that involve changing environmental parameters. >>
Rachel Berkowitz. Disordered Systems Mimic Genetic Evolution. Physics 15, s118. Sep 20, 2022. 

Suman G. Das, Joachim Krug, Muhittin Mungan. Driven Disordered Systems Approach to Biological Evolution in Changing Environments. Phys. Rev. X 12, 031040. Sep 20, 2022.

Also

keyword 'disorder' in FonT

keyword 'disordine' in Notes
(quasi-stochastic poetry)

Keywords: gst, disorder, disordered systems, evolution, genetic evolution 



sabato 29 ottobre 2022

# gst: two steady collective states in swarmalators with delayed interactions

AA << investigate the effects of delayed interactions in a population of "swarmalators", generalizations of phase oscillators that both synchronize in time and swarm through space. >>

AA << discover two steady collective states: a state in which swarmalators are essentially motionless in a disk arranged in a pseudo-crystalline order, and a boiling state in which the swarmalators again form a disk, but now the swarmalators near the boundary perform boiling-like convective motions. >>️

Nicholas Blum, Andre Li, et al. Swarmalators with delayed interactions. arXiv: 2210.11417v1 [nlin.AO]. Oct 20, 2022. https://arxiv.org/abs/2210.11417

Also

keyword 'swarm' in FonT

keyword 'particle' | 'quasiparticle' in FonT



keyword 'particelle' in Notes
(quasi-stochastic poetry)


Keywords: gst, particle, swarm


domenica 23 ottobre 2022

# jazz: Eastside Romp. Jeff Parker (gui), Eric Revis (b), Nasheet Waits (d).

<< In May 2016, guitarist Jeff Parker, double bassist Eric Revis, and drummer Nasheet Waits spent a single day recording in a Pasadena studio. The seven tunes they cut appear on Eastside Romp. Mixed in 2018, it sat on a shelf for four more years. (..) No one except the creators know why it took six long years for this relaxed yet canny set to arrive, but its appearance adds immeasurably to the mystique and inventive creativity of these three musicians. >> Thom Jurek (T.J.)

- Drunkard's Lullaby
<< "Drunkard's Lullaby" is a group improvisation, laden with guitar effects, knotty bass vamps, and dialogic conversation between snare, hi-hat, and kick drum. Parker's abstracted soloing is saturated in distortion, and it short-circuits, staggering his already jagged lines, creating a barely restrained sense of power. The rhythm section intersects and interlocks in detailed, propulsive conversation as the guitar travels afield, adding more frenetic yet glitchy notes and layers of feedback. >> (T.J.)

- Wait
<< "Wait," the album's longest cut, was composed by the guitarist. It commences as a dirge led by Revis playing vamped chords. He establishes a circular vamp as Parker points at his changes and Waits dances limpidly on his tom-toms in 4/4. The languid lyric line crisscrosses post-bop, Spanish-tinged modalism, and blues. Parker moves between melody and angular improv as his bandmates respond with empathy, highlighting and expanding the reach of his labyrinthine harmonic lines. As a perfect complement, Waits offers a studio version of his oft-performed nugget "Between Nothingness and Infinity." Paraphrasing the title of 1973's live Mahavishnu Orchestra album Between Nothingness & Eternity, he frames a musical narrative that emerges directly out of Parker's deeply moving ballad-esque playing, adding textural airiness, rhythmic spaciousness, and harmonic depth to its melody. >> (T.J.)

- Similar Limits 
<< Opener "Similar Limits" is the set's only cover. Composed by the late alto saxophonist Marion Brown, it originally appeared on 1967's Porto Novo. The trio keep the iconic, Monk-esque intro after a brief roll from Waits. Parker and Revis play the staggered melodic intro as Waits rolls, fills, and accents all over the kit. As the bassist expands the tune's harmonic reach, Parker explores the underside with great sensitivity and swing. >> (T.J.)️

Jeff Parker, Eric Revis, Nasheet Waits. 
Drunkard's Lullaby, Wait, Similar Limits.
Eastside Romp.  Rogue Art 0113 (2022). 

Also

'jazz' | 'jazzy' | 'funky' |  in FonT (twitter)


'jazz' in Notes 
(quasi-stochastic poetry)









venerdì 21 ottobre 2022

# life; a proposito d'immediati in.carichi ...

se Mr. Sergio avesse tirato fuori un mazzo di carte per un giro a Poker forse si poteva arrivare da 7 a 15-20 minuti ... 

cfr 'cip d' immediato vortice' in Notes 
(quasi-stochastic poetry)
Notes. Nov 24, 2004. 

cfr 'immediato' in Notes 

Keywords: life, immediato, immediato incarico, poetry, quasistochastic, quasi-stochastic poetry, fuzzypoe 


# life; il sé sadico, *mutaforma, *compassionevole, *mistico predatore, *schizofrenico predatore

Qui alcune note (quasistocastiche) circa il sé sadico (*)




(*) schizofrenico predatore (Dec 15, 2004)  https://inkpi.blogspot.com/2004/12/1824-il-s-sadico-schizofrenico.html 

Also

keyword 'sadico' in Notes (quasi-stochastic poetry)



keyword 'sadico' | 'sadistic' in FonT



keyword 'silvo sadico' in Notes
(quasi-stochastic poetry)


keyword 'silvo sadico' in FonT


Keywords: silvo, wild, sadico, sadist, sadistic, mutaforma, shapeshifter, predatore, predator, poetry, quasi-stochastic poetry


lunedì 17 ottobre 2022

# life: a proposito di bizzarri scenari, qui un ipotetico scenario22 dipinto dal reale ...

img: Congo Square, New Orleans, Louisiana (wikipedia.org)

In definitiva qui si configurerebbe un - intrigante assai - scenario che, grosso modo, si potrebbe sinteticamente 'dipingere' in questi termini: 

(i) entità tre palle destrogire, animate aciclicamente da interazioni attrattive- repulsive a causa di già a suo tempo disvelate pulsioni neuro cognitive arcaiche, riconducibili a visioni neuro predatorie CTZ estreme, perciò ipoteticamente (si fa per dire) a-priori ad esiti immediati e in prospettiva drammaticamente lesivi- autolesivi; 

(ii) entità tre palle levogire, animate da analoghe pulsività, purtuttavia in.forme  tenui, in modalità sottotraccia, frenate da feed-back a modalità allosterica, ombreggiate, stemperate, diluite, discrete, timidamente celate, talvolta fantasmatiche perfino, quasi ma non del tutto mai silenti, perciò anch'esse a tutti gli effetti operative, sebbene a dinamiche più fluide, lente, meno dirompenti rispetto alle destrogire; 

(iii) entrambe l'Entità destrogire e levogire animat(t)rici,  generat(t)rici di dinamiche bi-multi-forcate, transeunti, con picchi di improvvisi aciclici burst ad effetti RAG-time diretti e inversi;

(iv) lo scenario al contorno e forse anche all'interno, nei vari specifici contesti, riconducibile grosso modo alla formazione aciclica di ipotetici buchi neri non inerti, caratterizzati da aciclicità in compressione e dilatazione - come fossero fisarmoniche - animati (in perpetuo?) da multi vortici in ingresso e in uscita;

Non so se basti compulsare un manuale delle funzioni speciali per formalizzare in qualche adatto topo-modo questo pulsatile multi scenario, purtuttavia assolutamente intrigante ... 

Qui una AI operativa nella formalizzazione di analogie potrebbe modellizzare, forse ... (e.g. https://flashontrack.blogspot.com/2021/08/aibot-mechanism-of-analogy-could-be.html )

Quello che appare evidente è la complessità d'insieme, un bizzarro dipinto, uno scenario dinamico che, al confronto, le storiche danze in Congo Square potrebbero sembrare semplici, ordinate coreografie ... queste, rispetto a quelle, delle topo-forme  'primitive', per dire ed anzicheforse.

In sintesi, i riferimenti (ovviamente generici) del bizzarro scenario: 

(:) buco nero con vortici 

(:) scenari generati da 3 palle 
(a)
(b)

(:) effetti RAG-time (RAG: Ralph, Al, George) 
(a) (quasi-stochastic poetry)
(b)

(:) pulsioni predatorie supportate / giustificate da visioni neuro- post- CTZ nelle modalità arcaiche oppure friendly 

(:) Congo Square, jazz 
(a)
(b)
(c) (quasi-stochastic poetry)

(:) approccio Bertalanffy 

(:) un bizzarro tracciatore 

Anche

"Amico, qualunque cosa suonerai ... "
(a) (quasi-stochastic poetry)
(b)

Keywords: life, gst, Congo Square, jazz, Jelly Roll, transition, three-body, RAG, CTZ, black hole, bizarre tracker




lunedì 10 ottobre 2022

# gst: apropos of transitions, escape inside a noisy layered system

<< Noisy layered systems can exhibit amplified fluctuation patterns depending on their connectivity. Here (AA) showed that noise originally injected in one layer may induce faster basin escape in connected layers. This is both due to the amplification of the noise amplitude and the system specific correlations that the noise acquire while going through the first layer. Indeed, (..) one sees that the noise in the second is correlated in both space and time with clear dependence on the network structure. For networks with low algebraic connectivity, (AA) numerically showed that the first escape time is shorter in the two cases where (i) fluctuations are amplified in the second layer and (ii) noise in the second layer is rescaled in order to have the same variance in both layers. While point (i) is rather intuitive, i.e. larger fluctuations lead to shorter first escape times, point (ii) is more involved. Indeed, this indicates that noise with spatial and temporal correlations (..) selects directions that enable faster exits from the initial basin of attraction. >>

Melvyn Tyloo. Faster network disruption from layered oscillatory dynamics. arXiv: 2210.01180v1 [nlin.AO]. Oct 3, 2022. 

Also

keyword 'escape' in FonT


keyword 'escape' | 'fuga' in Notes 
(quasi-stochastic poetry)



Keywords: gst, transitions, escape, noise, noisy layered systems 


venerdì 7 ottobre 2022

# life: a proposito di transizioni, un generico approccio di come tracciare traiettorie di ipotetiche Entità in ipotetica modalità transeunte

Img: Fear and loathing in Las Vegas.  Terry Gilliam (Movie, USA, 1998). 

A proposito di transizioni, qui una breve lista di generiche purtuttavia significative tracce da individuare, circoscrivere, analizzare, collezionare, tracce che permettono, a-priori, di intravedere "finestre di non così im.probabile futuro transeunte" in contesti anche di elevata, spiccata, pulsatile complessità (per modo di dire).

Si immagini (l'immaginazione è sempre utile, necessaria, indispensabile, è sempre così) un gambler curioso, tenace (anche sadico seppure più o meno in.consapevole), purtuttavia irreversibilmente incline ai "giochi al buio" (il gambling al buio è Alfa e Omega per il gambler ispirato, creativo, erratico, di frontiera ...) che irrompa per qualsivoglia motivo (per caso, per necessità, per curiosità, per pulsione sperimentale ...) "nei meandri labirintici d'obscure & 'fonde paludi
https://inkpi.blogspot.com/2005/06/1668-ramificata-tinnula-di-carmina.html  e ponga - individualmente, serialmente - mai collettivamente, mai pubblicamente  (qui si evidenzia: MAI)  - una banale generica domanda, purtuttavia non del tutto campata in aria, a interlocutori sia in ambienti "di strada", "di bar", "di famiglia", "di club", "di clan", sia in ambiti "di potere", anche di "alto rango", anche professionalmente "paludati", diciamo ...

Da.Lì un complesso d'immediate  risposte che permetteranno  all'osservatore gambler di collezionare "tracce" utili per delineare, assemblare panoramiche, non del tutto campate in aria, su come potrebbe ipoteticamente indirizzarsi, strutturarsi, configurarsi, delinearsi il sistema negli anni - ma anche nei decenni - a venire; 

A scanso di equivoci, questo non è approccio da "Apprendista Stregone"; tutt'altro; qui si ricorda che "l'osservazione" e "l'interrogazione" (i.e. "l'esperimento", perciò con l'indispensabile metodologico confinamento dell'errore) diretti verso  qualsivoglia "scatola nera" di qualsivoglia natura sono i primi due momenti dell'impresa scientifico/ tecnologica. Di qualsivoglia impresa scientifico/ tecnologica; si pensi come esempio all'enorme complesso di interrogazioni della Fisica, della Chimica, che hanno permesso la tecnologia tascabile "ditino-telefonino".

Qui la domanda: 

"questo senz'altro intrigante dinamico 'movimento' (all'interno di un ben circoscritto specifico contesto) non Le sembra generato da un gioco in qualche forma deviato, a logica forse arcaica, fors'anche involuta, ipoteticamente a-priori autolesiva financo, risonante, ridondante di tipico sotteso generico controllo di potere mafioso (pre- post- para- etno- ...)... ?"

Qui di seguito una serie di risposte significative (i traccianti) da collezionare con ordine e dedizione (come le mitiche figurine Panini anni '60, per dire - ce l' ho, ce l'ho, mi manca ...  https://www.panini.it/shp_ita_it/figurine-panini.html ) e, successivamente, da modellizzare nell'adatte forme.

Si pensi, se si vuole, a una bizzarra ipotesi di "volontariato" indirizzato verso la figura di ipotetico giovane Scienziato Antropologo Cittadino (gSAC) di talento.

Una osservazione: nel corso dell'interazioni, qualsiasi successivo commento/ variazione di atteggiamento, di facies alle risposte dell'interlocutore sono da evitare assolutamente; nel porre la domanda e nel registrare le risposte l'esercizio dell'ascolto, del successivo silenzio, dell'impassibilità qui sono  metodologicamente obbligatori; qui è fondamentale l'esclusione di qualsivoglia esternazione in merito a  pulsività moralistico- ideologiche. Si perturberebbe oltremodo ed irreversibilmente il 'sistema' in osservazione compromettendo il valore dell'intervista.

Unica eccezione, al solo scopo di agevolare, facilitare, rendere fluida l'interazione, si legga ad es. "A gentle lick or nibble makes this brain circuit buzz", D. Keller et al./Curr. Biol.   https://www.nature.com/articles/d41586-022-02910-6

Se possono essere utili altri riferimenti bibliografici ci si può riferire alle operazioni "emiche-etiche" (Marvin Harris https://en.m.wikipedia.org/wiki/Marvin_Harris) e alle facies impassibili - qualsiasi cosa accada - del Maestro, indimenticato, indimenticabile Buster Keaton https://it.m.wikipedia.org/wiki/Buster_Keaton ).

Ultima osservazione: trattandosi di giornalismo scientifico, sarebbe bene evitare quelle disdicevoli performance che declinano verso le bizzarrie comportamentali di Raoul Duke e Dr. Gonzo in "Fear and Loathing in Las Vegas" https://en.m.wikipedia.org/wiki/Fear_and_Loathing_in_Las_Vegas

Qui le risposte "traccianti":

(1) << si e' sempre fatto così >>
(2a) << anche gli altri >>
(2b) << Lei non ha idea - in tal guisa - a quali importanti Clan si potrebbe  accedere ed operare (beninteso, se fosse come dice Lei) >>
(3) << in qualsiasi "altro modo" sarà piu' difficile, mi creda >>
(4) << qui ognuno si occupa del "proprio"/ dei "propri" >>
(5) << questa è forse una velata  contestazione? Lei suggerisce forse che qui si possa reagire/ contestare/ deviare/ tradire, e perciò sputare nel piatto dove si mangia/ si è mangiato/ si mangerà/ si mangerebbe? >>
(6) << se si fa "altro" allora ... non si è  furbi >>
(7) << se si fa "altro" allora ... non si è "con Noi" e se non si è "con Noi" allora si è "contro di Noi", e' scritto in tutti i libri che si trovano in tutte le biblioteche >> 
(8) << "Noi" non si sapeva >>
(9a) << "Noi" siamo/ siamo stati colti di sorpresa >> 
(9b) << "Noi" siamo stupiti, allibiti, estre.fatti >> 
(10) << evidentemente "Noi" si è stati dis.tratti >>️
(11) << attenzione, a gettare fango "su di Noi" si getterà fango su tutto il sistema/ istituzione/ (...) >>
(12) << attenzione, in realtà questo non e'/ non può essere un contesto democratico >> 
Per chiudere col guizzo d'orpello la breve ma esaustiva lista, qui di seguito tre dei classici della letteratura in tali ambiti: 

(13a) << qui è difficile entrare ma, una volta entrati, da qui è impossibile uscire  (intendendo sottotraccia: pena l'essere  copiati/ duplicati - si tenga presente che sono illusori, ad esiti comici, drammatici, i tentativi di copiare- duplicare una Entità se l'Entità è, per certe sue caratteristiche proprie, per sua intima natura, induplicabile -  poi sostituiti, infine irreversibilmente confinati/ terminati) >>
(13b) << ci sono contesti dove non si può vincere, non si può perdere, non si può lasciare >>️
(14) << da questa domanda mi sembra di capire cosa Lei pensa di "Noi" (pausa)  - qui è indispensabile l'impassibilità e l'assoluto silenzio dell'intervistatore - Lei pensa che Noi si è imbecilli, perditempo, dediti a pulsioni lesive- autolesive,  ... se è così, se è come Io penso ciò che Lei pensa, si acconci perchè non si sappia in giro, perchè non si venga a sapere (cosa  pensa di Noi), altrimenti Lei, Dottore, qui e altrove, è finito, fi-ni-to ... (by Gigi, 1985) >>️️
(15) << se sono rose fioriranno ... >>
PS: ognuna di queste risposte meriterebbe una Nota poetica, quasistocastica perfino ( https://inkpi.blogspot.com ), ad es. 

<< ... che sgomina (sgomitola?) il qualsivoglia tema // segnato //
da selle in mista gomena // all'interno,  all'intorno // dell'inteso (intonso?) meta-magma // neuro- meta- magma >>

ma mi astengo. 

Anche

<< signorivirgolaattenzionevirgolaquicrollatutto ... >> Anonymous(1), autunno 1981.

<< il ragazzo è un bravo ragazzo, forse un po' strano, ha studiato molto, ha lavorato molto, farà certamente brillante carriera, ora habisognodellaMica >>️ Anonymous(2), autunno 1981.️

Anche

<< I never pay any attention to anything by “experts.”  I calculate everything myself. >> 16:01 Jun 9, 2022. 

<< You can have a PhD and still be an idiot! Education and intelligence are two different things. 🧠  >> 17:24  May 31, 2022.  https://twitter.com/ProfFeynman/status/1531657982525571072

<<
• If you're wrong, admit it.
• If you're confused, ask questions.
• If you're stuck, seek for help.
• If you make mistake, learn from it.
• If you learn something, teach others >>  17:00 Sep 25, 2022.  https://twitter.com/ProfFeynman/status/1570427455311347712

Anche

keyword 'carmina' in Notes
(quasi-stochastic poetry)


keyword 'ctz' in FonT


keyword 'delirio' in Notes
(quasi-stochastic poetry)


keyword 'intervista' in Notes
(quasi-stochastic poetry)


Keywords: life, intervista, carmina, delirio






giovedì 29 settembre 2022

# life: apropos of transitions, here is an erratic Creature that slightly fluctuates ...

Here is an erratic Creature 

that slightly fluctuates with quasi-stochastic movements in the natural scenario where everything is full of unpredictability;

what is the Creature looking for?

Perhaps a house, perhaps a vision, a perspective, a spark, a glimmer at least, that helps it to face the unstoppable becoming, anzicheforse ...

the Creature ...
cit Erica Snyder, The Download, MIT Tech Rev, Sept 9, 2022. << Watching this ribbon eel swim is mesmerizing. >>️

Also

keyword 'erratico' | 'erratica' in Notes
(quasi-stochastic poetry)



keyword 'erratic' in FonT


Keywords: life, transition, erratics, erratic creature


sabato 24 settembre 2022

# art: generating images from text

This image was generated by the new open source AI art generator Stable Diffusion

My inserted text:
"Are you ready for all this?"

<< I’m Melissa Heikkilä, MIT Technology Review’s senior reporter for AI. I’m so happy you’re here. Every week I will demystify the latest AI breakthroughs and cut through the hype. This week, I want to talk to you about some of the unforeseen consequences that might come from one of the hottest areas of AI: text-to-image generation. 
Text-to-image AI models are a lot of fun. Enter any random text prompt, and they will generate an image in that vein. Sometimes the results are really silly. But increasingly, they're impressive, and can pass for high-quality art drawn by a human being.  >>️

Melissa Heikkila. The Algorithm. MIT Tech Rev. Sep 19, 2022. 


Also 

keyword 'ai' | 'bot' in FonT



keyword 'ia' | 'ai' | 'robota' in Notes (quasi- stochastic poetry)




Keywords: art, ai, artificial intelligence, bot, robota


giovedì 22 settembre 2022

# life: apropos of quasi-stochastic (bizarre) landscapes in high-dimension, a case of double RAG-time inside a black hole with vortices

Here a hypotetical bizarre scenario of coexistence of double RAG-time (RAG: Ralph, Al, George) inside a black hole with vortices:

(1) 
Maurizio Belpietro.Sorprese in vista. Occhio alla strana coppia Conte D'Alema. La verità. anno vii n 258 pg 1. 19 set 2022.


(2) 

Andrea Pertici. Un soccorso centrista alla maggioranza dei due terzi?  
huffingtonpost.it. 18 Set 2022  17:08


Also

keyword 'RAG' in Notes
(quasi-stochastic poetry)

keyword 'RAG' in FonT

black holes (as Q-ball-type saturons) could admit multi-vortex dynamics.
FonT. Sep 19, 2022.  

PS: really intriguing the image of a black hole with vortices ...

Keywords: life, jazz, RAG-time, RAGtime, black hole, vortex, vortices, vortexes, vorticity



martedì 20 settembre 2022

# gst: multiple external fields can modulate confined active particles

AA << analyze a dilute suspension of active particles confined between walls and subjected to fields that can modulate particle speed as well as orientation. Generally, the particle distribution is different in the bulk compared to near the walls. In the bulk, particles tend to accumulate in the regions of low speed, but in the presence of an orienting field, particles rotate to align with the field and accumulate downstream in the field direction. At the walls, particles tend to accumulate pointing into the walls and thereby exert pressure on walls. But the presence of strong orienting fields can cause the particles to reorient away from the walls >>

<< The pressure at the walls depends on the wall separation and the field strengths. This work demonstrates how multiple fields with different functionalities can be used to control active matter under confinement. >>️

Vaseem A. Shaik, Zhiwei Peng, et al. Confined active matter in external fields. arXiv:2208.09797v1 [cond-mat.soft]. Aug 21, 2022. https://arxiv.org/abs/2208.09797 

Also

keyword 'particle' | 'quasiparticle' in FonT



keyword 'particelle' in Notes
(quasi-stochastic poetry)


Keywords: gst, particle, particle control







lunedì 19 settembre 2022

# astro: black holes (as Q-ball-type saturons) could admit multi-vortex dynamics

<< Theoretical physicists argue that black holes admit vortex structures >>

Img << Sketch of a black hole endowed with multiple vortices. Colors denote the orientation, with the associated trapped magnetic field lines in black. Credit: Dvali et al. >>️

<< Recently, a new quantum framework for black holes, namely in terms of Bose-Einstein condensates of gravitons (the quanta of gravity itself), has been introduced, (..) Up until our article was published, rotating black holes have not been thoroughly studied within this framework. However, they might not only exist, but also be the rule rather than the exception. >> Florian Kühnel. 
Ingrid Fadelli. Theoretical physicists argue that black holes admit vortex structures. Phys.org. Sep 09, 2022. 

AA << argue that black holes admit vortex structure. This is based both on a graviton-condensate description of a black hole as well as on a correspondence between black holes and generic objects with maximal entropy compatible with unitarity, so-called saturons. (They) show that due to vorticity, a Q-ball-type saturon of a calculable renormalizable theory obeys the same extremality bound on the spin as the black hole. Correspondingly, a black hole with extremal spin emerges as a graviton condensate with vorticity. (..) Next, (AA) show that in the presence of mobile charges, the global vortex traps a magnetic flux of the gauge field. This can have macroscopically observable consequences. >>
Gia Dvali, Florian Kuhnel, Michael Zantedeschi. Vortices in Black Holes. Phys. Rev. Lett. 129, 061302. Aug 3, 2022.  

Also

keyword 'black hole' in FonT  

Keywords: astro, astrophysics, black hole, rotating black hole, vortex, vorticity