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Visualizzazione dei post in ordine di pertinenza per la query transition. Ordina per data Mostra tutti i post
Visualizzazione dei post in ordine di pertinenza per la query transition. Ordina per data Mostra tutti i post

sabato 26 marzo 2022

# gst life: apropos of critical points, love (at first sight and love from liking or friendship) might be a second-order phase transition.

<< The hypothesis of the human brain operation in vicinity of a critical point has been a matter of a hot debate in the recent years. >>

<< In this work, (AA) suggest that love might be an example of a second-order phase transition occurring in the brain. (They) show that this hypothesis explains a lot of well-known properties of love. Analyzing several most famous literature examples and a private diary, (they) show that the intensity of feelings exhibits a universal scaling behavior, distinguishing two cases: love at first sight and love developing from liking or friendship (friends first), both being studied in psychology. >>

The theory of second-order phase transitions developed by L.D. Landau (1980) << has inspired a lot of activity in physics, because it turned out that such transitions are characterized by a universal scaling behavior. Independently of the nature of the system, their parameters exhibit power law dependencies on the dimensionless parameter (temperature). >>

<< The key hypothesis of the present work is that love is a second-order phase transition occurring in the human brain under the influence of hormones, such as dopamine and serotonin (..). The brain switches from the normal operation in the critical regime to the supercritical regime because of the increase of the excitation (more dopamine) and reduction of the inhibition (less serotonin) (..). The order parameter of the transition is the intensity of feelings: before the transition, the subject has no particular feelings, while after the transition the feelings are non-zero. The most direct consequence is that the order parameter should exhibit a universal power law behavior: the feelings should grow as a square root of time α ∼√ >>

<< Since it is impossible to analyze the human feelings directly during such uncontrollable phenomenon as ”love at first sight”, (AA) have decided to perform a quantitative study of the intensity of feelings depicted in the literature. (..) (They) have chosen three well-known books for this analysis: ”Romeo and Juliet” (W. Shakespeare), ”The Lily of the Valley” (H. de Balzac, (..)), and ”Martin Eden” (J. London). >>

<< the case of a non-zero external ”bias”, which is a situation that occurs more often than love at first sight. Indeed, one usually knows several persons better than all the others, and thus some positive feelings towards some of them can be present before the transition occurs. (..) To study this transition quantitatively, (AA) have chosen another well-known book, ”Jane Eyre” by Charlotte Bronte. This books is also quite autobiographic, and famous for the psychological details, that got its author the title of ”first historian of the private consciousness”. The delay between the initial acquaintance and love is now of several weeks (about 45 days).

Dmitry Solnyshkov, Guillaume Malpuech. Love might be a second-order phase transition. arXiv: 2203.13246v1 [cond-mat.stat-mech]. Mar 24, 2022. 


Also

keyword 'transition' in FonT


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



keywords: gst, life, love, transitions,  critical point, phasetransition, second-order phase transition, brain, mind, behavior.







giovedì 10 febbraio 2022

# gst: liquid–liquid phase transition, the two forms of liquid water (mixed with the natural antifreeze trehalose)


<< Liquids are structurally disordered, so it’s not immediately obvious how they can support two distinct structures with different densities. But that does seem to be possible for liquids in which some degree of directional bonding, such as hydrogen bonds between adjacent water molecules, makes distinct local structures possible. Liquid–liquid transitions have been reported, for example, in silicon, gallium, phosphorus and silicates. But finding one in supercooled water has proved very challenging. There have been previous claimed observations of a liquid–liquid transition in aqueous solutions at ambient pressure, (..) where the solute, such as the sugar glycerol, sometimes used as a cryoprotectant, lowers the freezing point. But such claims have been disputed.(..) Other researchers have reported liquid-like behaviour as the two well-established high- and low-density forms of amorphous (glass-like) ice interconvert. (..) >>

<< In 2014 Yoshiharu Suzuki (..) working with veteran water researcher Osamu Mishima, reported possible signs of a liquid–liquid transition, ending in a critical point where the two liquid states become indistinguishable, in emulsified, supercooled solutions of glycerol. (..) They saw signs of two distinct disordered states with different densities at a temperature of 150K. But there was no direct evidence that both were liquids, rather than amorphous ice. >>

<< Suzuki has now explored the same approach using trehalose as the solute – a sugar produced as a natural cryoprotectant by some organisms, such as insects, that experience extreme cold, to prevent their blood from freezing. He pressurised dilute emulsified solutions to about 0.6GPa at a range of temperatures below 159K, and then decompressed them again.  >>

<< Such hysteresis – whereby the density jumps at different pressures on compression and decompression – is normal for a first-order transition where a parameter such as density changes discontinuously. It reflects the fact that the transition has to start with the chance formation of a ‘nucleus’ of the new phase, which then grows. >>

<< Suzuki is not yet sure why trehalose stabilises water so well against crystallisation, compared with glycerol – but this might help explain why life uses it as an antifreeze. >>

Philip Ball. Direct evidence emerges for the existence of two forms of liquid water. Feb 1, 2022.


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keyword 'water' in FonT


keyword 'transition' | 'transitional' in FonT



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




keywords: gst, transition, liquid-liquid transition, water



sabato 30 ottobre 2021

# gst: apropos of transitions, perspectives on viscoelastic flow instabilities; the 'porous individualism'

<< given the observation that disorder can suppress the transition to elastic turbulence in 2D porous media (..), it has been unclear whether and how this transition manifests in disordered 3D media — though elastic turbulence has been speculated to underlie the long-standing observation that the macroscopic flow resistance of an injected polymer solution can abruptly increase above a threshold flow rate in a porous medium, but not in bulk solution >>️

AA << found that the transition to unstable flow in each pore is continuous, arising due to the increased persistence of discrete bursts of instability above a critical value of the characteristic (Weissenberg no.) Wi; however, the onset value varies from pore to pore. This observation that single pores exposed to the same macroscopic flow rate become unstable in different ways provides a fascinating pore-scale analog of “molecular individualism” [P.  De Gennes, Molecular individualism. Science 276, 1999–2000 (1997)], in which single polymers exposed to the same extensional flow elongate in different ways; the authors therefore termed it “porous individualism”, although it is important to note that here, this effect is still at the continuum (not molecular) scale. Thus, unstable flow is spatially heterogeneous across the different pores of the medium, with unstable and laminar regions coexisting >>

AA << quantitatively established that the energy dissipated by unstable pore-scale fluctuations generates an anomalous increase in flow resistance through the entire medium that agrees well with macroscopic pressure drop measurements. >>

Sujit S. Datta, Arezoo M. Ardekani, et al. Perspectives on viscoelastic flow instabilities and elastic turbulence. arXiv: 2108.09841v1 [physics.flu-dyn]. Aug 22, 2021. 



keywords: gst, droplet, fluctuations, disorder, instability, viscoelastic flow instability, turbulence, elastic turbulence, individualism, porous individualism, transition

lunedì 5 giugno 2023

# gst: apropos of transitions, scrambling trajectories in a radiative random unitary circuit.

AA << study quantum information scrambling in a random unitary circuit that exchanges qubits with an environment (..). As a result, initially localized quantum information  not only spreads within the system, but also spills into the environment. >>

<< The transition is also easily extended to higher dimensions, where higher-dimensional DP (directed percolation) universality classes will control the critical behavior. >>

<<  The transition in operator spreading  coincides with an information-theoretic 3 transition, which can be framed by  viewing (AA) circuit as a toy model for an evaporating black hole (..). >>️

<< Depending on the initial state of the swapped-in qubits, (AA) observe a corresponding entanglement transition in the coherent information into the environment. >>
Zack Weinstein, Shane P. Kelly, Jamir Marino, Ehud Altman. Scrambling Transition in a Radiative Random Unitary Circuit. arXiv:2210.14242v1 [quant-ph]. Oct 25, 2022.

Also: 'transition', 'random', in https://www.inkgmr.net/kwrds.html

Keywords: transition, quantum information, entanglement transition, scrambling, directed percolation






lunedì 23 settembre 2019

# gst: the hypothesis of a first order phase transition (a type of abrupt phase transition) to originate black holes observed by LIGO/Virgo in binary mergers.

<<  To summarize, motivated by the ~10 M* (mass similar to that of the sun) black holes observed by LIGO/Virgo in binary mergers, (AA) entertained the possibility that the quark-gluon confinement phase transition was first order due to the effect of 6 light quarks. The larger number of light quarks, compared to the standard case, pushes the transition temperature below ∼100 MeV. The first order nature of the transition significantly improves the likelihood of forming primordial black holes and its lower temperature suggests that these black holes can potentially be as heavy as ∼10 M*, compared to ∼M* for the standard QCD transition. >>

Hooman Davoudiasl.  LIGO/Virgo Black Holes from a First Order Quark Confinement Phase Transition. Phys. Rev. Lett. 123, 101102. Sep 6, 2019.   https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.101102  

Ingrid Fadelli. Theory proposes that LIGO/Virgo black holes originate from a first order phase transition. Sep 23, 2019.    https://m.phys.org/news/2019-09-theory-ligovirgo-black-holes-phase.html  

QCD = quantum chromodynamic  
https://en.m.wikipedia.org/wiki/Standard_Model

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 22 febbraio 2022

# gst: apropos of a immaginary transition (with a tipping point), which simulates the chaotic interactions of three black holes.


<< The interactions between three bodies such as stars or planets or black holes cannot be predicted with an elegant formula. Moerman (Arend Moerman) therefore used a computer that calculates what happens for a short period of time and then uses the result for the next period of time. >>

AA << varied the masses of the three interacting black holes. They started with one solar mass and went up to a billion times the mass of the sun. >>

<< Around ten million solar masses, there appeared to be a tipping point. In the simulations, black holes that are lighter than about ten million solar masses mostly eject each other through a gravitational slingshot. Black holes heavier than about ten million solar masses start to merge. First, two black holes merge. The third black hole will follow later. The black holes merge because they lose kinetic energy and that is because they emit gravitational waves. >>

<< Arend's work (..) has led to a new understanding of how black holes become supermassive. In the simulations, we see that heavy black holes no longer endlessly move around each other, but that, if they are heavy enough, they collide pretty much instantly. >> Simon Portegies Zwart. 

Simulating chaotic interactions of three black holes. Netherlands Research School for Astronomy. Oct 20, 2021. 


Tjarda C. N. Boekholt, Arend Moerman, Simon F. Portegies Zwart. Relativistic Pythagorean three-body problem. Phys. Rev. D 104, 083020. 14 Oct 14,  2021. 


Also

more on the three-body problem (695 families of collisionless orbits). FonT. Oct 16, 2017. 


keyword 'black hole' | 'astro' in FonT



keyword 'transition' | 'transitional' in FonT



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




keywords: gst, black hole, three-body problem, transition, chaos, chaotic interaction, tipping point.



martedì 21 febbraio 2023

# gst: towards (insights into) intermittency and inhomogeneity of turbulent mixing

<< Fluid elements deform in turbulence by stretching and folding. In this work, by projecting the material deformation tensor onto the largest stretching direction, the dynamics of folding is depicted through the evolution of the material curvature. Results from direct numerical simulation (DNS) show that the curvature growth exhibits two regimes, first a linear stage dominated by folding fluid elements through a persistent velocity Hessian which then transitions to an exponential growth driven by the stretching of already strongly bent fluid elements. This transition leads to strong curvature intermittency at later stages, which can be explained by a proposed curvature-evolution model. The link between velocity Hessian to folding provides a new way to understand the crucial steps in energy cascade and mixing in turbulence beyond the classical linear description. >>

Yinghe Qi, Charles Meneveau, Greg Voth, Rui Ni. Folding dynamics and its intermittency in turbulence. arXiv: 2301.10341v1 [physics.flu-dyn]. Jan 24, 2023. 

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keyword 'intermittency' in FonT

keyword 'turbulence' in FonT

keyword 'turbolento' | 'turbolenza' in Notes (quasi-stochastic poetry)


keyword 'transition' | 'transitional' in FonT


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



Keywords: gst, intermittency, turbulence, transition


martedì 19 luglio 2022

# gst: apropos of prolate- oblate spheroid transition, the chaotic behavior of a spinless entity around a black hole.

AA << investigate the long-term orbital dynamics of spinless extended bodies in Schwarzschild geometry, and show that periodic deviations from spherical symmetry in the shape of a test body may trigger the onset of chaos. (AA) do this by applying Dixon's formalism at quadrupolar order to a nearly spherical body whose shape oscillates between a prolate and an oblate spheroid. The late-time chaotic behavior is then verified by applying Melnikov's method. >>️

Ricardo A. Mosna, Fernanda F. Rodrigues, Ronaldo S. S. Vieira. Chaotic dynamics of a spinless axisymmetric extended body around a Schwarzschild black hole. arXiv: 2207.04341v1 [gr-qc]. Jul 9, 2022. 


Phys. Rev. D 106, 024016 (2022). 


Also - Oblate and Prolate Spheroid.  

<< The shape of the earth is that of a round ball or sphere slightly flattened at two opposite sides. Such a body is termed a spheroid. There are two kinds of spheroids-oblate and prolate; the former as the shape of an orange, the latter that of a lemon.  >>️

Oblate and Prolate Spheroid.  



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keyword 'transition' in FonT


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



Keywords: gst, spheroid, behavior, chaos, transition, black hole







mercoledì 18 dicembre 2019

# gst: the complex dynamics of a transition

<< The transition state is a central concept of chemistry (..) Everything we think about in reactions really hinges on the structure of the transition state, which we cannot directly observe. >> Robert Field.

<< there are two different mechanisms competing for transition states, >>

<< there are additional reaction mechanisms beyond those two, >>

Chemists glimpse the fleeting 'transition state' of a reaction. 
Massachusetts Institute of Technology. Dec 16, 2019.

https://m.phys.org/news/2019-12-chemists-glimpse-fleeting-transition-state.html

giovedì 31 marzo 2022

# gst: apropos of transitions, the vortex dynamics from a twisted baker map

<< A natural approach to understanding complicated systems is to analyze a col­lection of simple examples that retain some essential features of the complexity of the original systems. The baker map (..) is one of the simplest models of chaotic dynamical systems. It divides the unit square into p ≥ 2 equal vertical strips, and maps each strip to a horizontal one by squeezing it vertically by the factor p and stretching it horizontally by the same factor. The horizontal strips are laid out covering the square. Due to the squeezing/stretching, small initial errors get amplified under iteration, and results in an unpredictable long-term behavior. The name “baker” is used since the action of the map is reminiscent of the kneading dough (..). In this paper (AA) introduce a piecewise linear model of an interaction of stretching and twisting that produces vortex dynamics. >>

They << show that the set of hyperbolic repelling periodic points with complex conjugate eigenvalues and that without complex conjugate eigenvalues are simultaneously dense in the phase space >>

Yoshitaka Saiki, Hiroki Takahasi, James A. Yorke. The twisted baker map. arXiv: 2202.04304v2 [math.DS]. Feb 9, 2022. 


Also

keyword 'transition' | 'transitional' in FonT



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




keyword 'vortex' in FonT


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


keywords: gst, transition, vortex, baker map









venerdì 15 luglio 2022

# life: a proposito di transizioni ...


a proposito di transizioni ... 

<< se si considera la limitatezza del numero degli standards da essi tante volte 'rigenerati'. >> 

<< Il problema qui - in una prospettiva sperimentale - non sembra la generazione (quasistocastica?) delle forme inattese, bensi' inerente la struttura logico- funzionale dei "filtri", dei setacci cioe', capaci di trattenere (e conservare) le soluzioni funzionali al codice, "metastabili" in senso evolutivo, con l'eliminazione di tutto cio' che puo' contribuire alla rigidita' strutturale dell' insieme.  >>

2134 - bizzarrie bop sugli standard. Notes. Apr 29, 2007. 



Also

Keywords: life, transition, evolution, quasi-stochastic,  poetry, quasi-stochastic poetry,  fuzzypoe, droploids.

martedì 8 agosto 2023

# gst: substrate friction and geometric confinement could act as transitional control parms (in active nematics).


<< Using a minimal continuum model, (AA) investigate the interplay between circular confinement and substrate friction in active nematics. Upon increasing the friction from low to high, (They) observe a dynamical phase transition from a circulating flow phase to an anisotropic flow phase in which the flow tends to align perpendicular to the nematic director at the boundary. (AA) demonstrate that both the flow structure and dynamic correlations in the latter phase differ from those of an unconfined, active turbulent system and may be controlled by the prescribed nematic boundary conditions. (AA) results show that substrate friction and geometric confinement act as valuable control parameters in active nematics. >> 

Cody D. Schimming, C. J. O. Reichhardt, C. Reichhardt. Friction-mediated phase transition in confined active nematics. Phys. Rev. E 108, L012602. Jul 27, 2023. 



Keywords: gst, transition, friction, friction-mediated phase transition, confinement, nematics




sabato 20 gennaio 2018

# gst: chaotic dynamics in the transition between sleep and wakefulness

AA <<  have investigated how to describe one of the most significant state changes in the brain, namely the transition between sleep and wakefulness >>

<< The brain's neuronal activity depends on the overall state we are in (deep sleep, light sleep, sedentary awake or awake and active), and this is important for how sensory impressions are processed >>

Niels  Bohr  Institute. Chaos  in  the  transition from sleep to awake. Dec 15,  2017.

https://m.medicalxpress.com/news/2017-12-chaos-transition.html

AA << find that sleep is governed by stable, self-sustained oscillations in neuronal firing patterns, whereas the quiet awake state and active awake state are both governed by irregular oscillations and chaotic dynamics; transitions between these separable awake states are prompted by ionic changes. Although waking is indicative of a shift from stable to chaotic neuronal firing patterns, [AA]  illustrate that the properties of chaotic dynamics ensure that the transition between states is smooth and robust to noise >>

Rune Rasmussen, Mogens H. Jensen, Mathias L. Heltberg. Chaotic Dynamics Mediate Brain State Transitions, Driven by Changes in Extracellular Ion Concentrations.
Cell Systems. 2017; 5 (6): 591 - 603.e4. doi: 10.1016/j.cels.2017.11.011. Dec 13, 2017.

http://www.cell.com/cell-systems/fulltext/S2405-4712(17)30539-2

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. >>️

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



keyword 'erratic' in FonT


Keywords: life, transition, erratics, erratic creature


mercoledì 24 febbraio 2021

# gst: apropos of 'transitions', slow dynamics of complex connected networks can control the rate of demixing

<< A space- spanning network structure is a basic morphology in phase separation of soft and biomatter, alongside a droplet one. Despite its fundamental and industrial importance, the physical principle underlying such network- forming phase separation remains elusive. >>

AA << find that phase- separation dynamics is controlled by mechanical relaxation of the network- forming dense phase, whose limiting process is permeation flow of the solvent for colloidal suspensions and heat transport for pure fluids. This universal coarsening law would contribute to the fundamental physical understanding of network-forming phase separation. >>

Michio Tateno, Hajime Tanaka. Power-law coarsening in network-forming phase separation governed by mechanical relaxation. Nat Commun 12, 912. doi: 10.1038/  s41467-020-20734-8. Feb 10,  2021.

Discovery of a new law of phase separation. University of Tokyo. Feb 10, 2021. 


Also

keyword 'transition' in FonT


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







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.


lunedì 6 febbraio 2023

# gst: multiphase transitions and existence of bistable modes; how morphoelastic donuts get their wrinkles

<< Many biological structures are toroidal, or donut shaped. These structures often contain intricate wrinkling patterns that change as the object grows or contracts. >>

<< The team found that toroidal structures with large holes typically develop surface wrinkles close to the hole, whereas ones with smaller holes tend to form them away from the hole. Additionally, soft structures often have localized dimples, while stiff ones have bidirectional stripes or a mixture of spiral and axisymmetric stripes. Lastly, moderate-stiffness structures are typically adorned with periodic hexagonal patterns or a combination of hexagonal and labyrinth-like patterns. (AA) also found that their theory can predict wrinkling patterns in some nontoroidal structures, suggesting that it could be applied to a diverse range of objects. >>

Ryan Wilkinson. How Nature’s Donuts Get Their Wrinkles. Physics 16, s5. Jan 25, 2023. 

T. Wang et al. Curvature-regulated multiphase patterns in tori. Phys. Rev. Lett. 130, 048201. Jan 25, 2023.

Also

keyword 'transition' | 'transitional' in FonT



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




Keywords: gst, morphogenesis, transitions, multiphase transitions, bistability, pattern formation, elastic deformation, mechanical deformation




martedì 10 marzo 2020

# gst: apropos of 'transitions', liquid-liquid transitions within a one- component system

<< For a long time, the liquid state of pure substances was believed to be a continuous state in which the component atoms or molecules are all equivalent. However, it has now been widely shown that there can be multiple phases within liquids, even those containing only one component. >>

AA << have devised a model based on two factors that describe the ordering of the liquid; the density, and the local organization of the liquid atoms or molecules at a particular point. >>

<< Our Ginzburg-Landau-type model evaluates the system using two order parameters; one that is conserved-density; and one that is not- local structural order (..) What we found was that the growth of the liquid domain we studied was affected by density changes that cause hydrodynamic fluctuations. >> Kyohei Takae.

<< It was shown that when the density changes as a result of the phase transition, hydrodynamic flow is induced leading to changes in both the rate of domain growth and the long-range interaction between the domains. Hydrodynamic interaction was therefore found to be critical to LLT (liquid-liquid transitions) and the pattern evolution and kinetics. >>

But what about flow? The effect of hydrodynamics on liquid-liquid transitions. University of Tokyo. Feb 10, 2020.

https://phys.org/news/2020-02-effect-hydrodynamics-liquid-liquid-transitions.html

Kyohei Takae, Hajime Tanaka. Role of hydrodynamics in liquid–liquid transition of a single-component substance. PNAS. 117 (9) 4471-4479. doi: 10.1073/pnas.1911544117. Mar 3, 2020.

https://www.pnas.org/content/117/9/4471

Also

more on the weirdness of water, "T" and "non-T" Tetrahedral arrangements. Feb 5, 2020. 

https://flashontrack.blogspot.com/2020/02/chem-more-on-weirdness-of-water-t-and.html

Also

keyword 'transition/al' in FonT

https://flashontrack.blogspot.com/search?q=transition

https://flashontrack.blogspot.com/search?q=transitional

keyword 'transizione/i' in Notes (quasi-stochastic poetry)

https://inkpi.blogspot.com/search?q=transizione

https://inkpi.blogspot.com/search?q=transizioni

keyword 'transizionale/i' in Notes (quasi-stochastic poetry)

https://inkpi.blogspot.com/search?q=transizionale

https://inkpi.blogspot.com/search?q=transizionali