# gst: apropos of 'strange' transitions to self-assemble into an egg; the coordinated elastic behavior to swirl in a vortex (D. melanogaster)

 << At the end of its first week of development, a striking change occurs in a fruit-fly egg cell. The cell’s internal fluid motion transitions from a disordered mix of small-scale flows to a single vortex that encompasses the entire cell. >> 

 << Given the fluid’s incompressibility, those forces can give rise to what the researchers call a  "swirling" instability, and the flow switches to a cell-spanning rotation. The threshold of molecular motor activity for the transition depends on the buckling of individual microtubules, which are treated as elastic rods. >> 

A Vortex in an Egg Cell. Physics 14, s1. Jan 13, 2021.  

https://physics.aps.org/articles/v14/s1

David B. Stein, Gabriele De Canio, et al. Swirling Instability of the Microtubule Cytoskeleton. Phys. Rev. Lett. 126, 028103.  doi: 10.1103/ PhysRevLett.126.028103. Jan 13, 2021.

https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.126.028103  

# gst: kirigami exposed to external flows.

<< Kirigami patterned materials have found several applications in recent years due to their ability to assume complicated shapes and exhibit emergent physical properties when exposed to external forces. >>️

<< Consisting of an array of cuts in a thin material, fabrication of these patterns can be quite simple. Here (AA) show that when they are placed in fluid flow, kirigami cut sheets with various patterns produce a verity of flow patterns in the wake. Through several sets of experiments, (AA) show that the kirigami sheets placed in flow can undergo static or dynamic flow-induced instabilities as a result of which they can buckle or undergo limit cycle oscillations, or they can remain stable while undergoing very large elongations. >>️

<< The ability to create controlled small-scale vortex shedding, induce desired flow-induced instabilities on structures, and form specifically-angled jets will enable several future applications in flow mixing (e.g., by producing small vortices in uniform flow at low Reynolds numbers), flow control (e.g., by controlling the direction and the number of jets that are produced downstream), and underwater soft robotics (e.g., by imposing desired flow-induced oscillations on structures). >>

️

Adrian G. Carleton, Yahya Modarres-Sadeghi. Kirigami Sheets in Fluid Flow.  arXiv: 2311.09381v1 [physics.flu-dyn]. Nov 15, 2023. 

https://arxiv.org/abs/2311.09381

Also: kirigami, origami, vortex, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, kirigami, origami, fluid flows, vortex

# gst: pattern generation through turbulent cascades

<< Fully developed turbulence is a universal and scale-invariant chaotic state characterized by an energy cascade from large to small scales where the cascade is eventually arrested by dissipation. In this Letter, (AA) show how to harness these seemingly structureless turbulent cascades to generate patterns. Conceptually, pattern or structure formation entails a process of wavelength selection: patterns typically arise from the linear instability of a homogeneous state. By contrast, the mechanism (they) propose here is fully non-linear and triggered by a non-dissipative arrest of turbulent cascades. Instead of being dissipated, energy piles up at intermediate scales. Using a combination of theory and large-scale simulations, (AA) show that the tunable wavelength of these cascade-induced patterns is set by a non-dissipative transport coefficient called odd or gyro viscosity. This non-dissipative viscosity is ubiquitous in chiral systems (..). Beyond chiral fluids, cascade-induced pattern formation could occur in natural systems (..) as well as in industrial processes (..). >>

Xander M. de Wit, Michel Fruchart, et al. Pattern formation by non-dissipative arrest of turbulent cascades. arXiv: 2304.10444v1 [cond-mat.soft]. Apr 20, 2023.

https://arxiv.org/abs/2304.10444

Also: 'turbulence', 'vortex', 'game', 'evolution', 'ai' in https://www.inkgmr.net/kwrds.html

Keywords: gst, vortex, vorticity,  turbulence, turbulent cascade, pattern formation, game, evolution, ai (artificial intelligence)

# brain: spiral waves at the edge of neural tissue during cognitive processing.

AA << have discovered human brain signals travelling across the outer layer of neural tissue that naturally arrange themselves to resemble swirling spirals. >>️

<< The research (..) indicates these ubiquitous spirals, which are brain signals observed on the cortex during both resting and cognitive states, help organise brain activity and cognitive processing. >>️

<< Our study suggests that gaining insights into how the spirals are related to cognitive processing could significantly enhance our understanding of the dynamics and functions of the brain, (..) These spiral patterns exhibit intricate and complex dynamics, moving across the brain’s surface while rotating around central points known as phase singularities. >> Pulin Gong.

<< One key characteristic of these brain spirals is that they often emerge at the boundaries that separate different functional networks in the brain, >> Yiben Xu. 

Philip Ritchie. Scientists discover spiral-shaped signals that organise brain activity. sydney.edu.au. Jun 16, 2023. 

https://www.sydney.edu.au/news-opinion/news/2023/06/16/scientists-discover-spiral-shaped-signals-that-organise-brain-activity.html

https://youtu.be/YZlqokljqY8️

Yiben Xu, Xian Long, Jianfeng Feng & Pulin Gong. Interacting spiral wave patterns underlie complex brain dynamics and are related to cognitive processing. Nat Hum Behav. doi: 10.1038/ s41562-023-01626-5. Jun 15,  2023.

https://www.nature.com/articles/s41562-023-01626-5

Also: brain, vortex, waves in: https://www.inkgmr.net/kwrds.html

Keywords: brain, vortex, waves,  cognition

# gst: tipping in a low-dimensional model of a (tropical) cyclone.

 <<Tipping is the rapid, and often irreversible, change in the state of a system [Ashwin P. et al (2017)] >> 

AA << present a case study of both rate and noise-induced tipping between the stable states, relating to the destabilization or formation of a tropical cyclone. While the stochastic system exhibits transitions both to and from the non-storm state, noise-induced tipping is more likely to form a storm, whereas rate-induced tipping is more likely to be the way a storm is destabilized, and in fact, rate-induced tipping can never lead to the formation of a storm when acting alone. For rate-induced tipping acting as a destabilizer of the storm, a striking result is that both wind shear and maximal potential velocity have to increase, at a substantial rate, in order to effect tipping away from the active hurricane state. For storm formation through noise-induced tipping, (AA) identify a specific direction along which the non-storm state is most likely to get activated. >> 

Katherine Slyman, John A. Gemmer, et al. Tipping in a Low-Dimensional Model of a Tropical Cyclone. arXiv: 2307.15583v1 [math.DS]. Jul 28, 2023.

https://arxiv.org/abs/2307.15583

 

Also: vortex, instability, noise, in https://www.inkgmr.net/kwrds.html

Keywords: gst, climate, storm, cyclone, vortex, noise, tipping, noise-induced tipping

# s-gst: vortex knots in wave systems

<< Waves  surround  us  all  the  time:  sound waves in  the  noise  around  us, light  waves enabling  us  to see,  and  according  to  quantum  mechanics,  all  matter  has  a  wave  nature.  Most  of  these  waves, however,  do  not  resemble  the  regular  train  of  waves  at  the  shore  of  the  ocean—the  pattern  is much  more  chaotic.  Most  significantly,  the  whirls  and  eddies  form  lines  in  space  called  vortices. Along  these  lines,  the  wave  intensity  is  zero,  and  natural  wave  fields  -  light,  sound  and  quantum matter  -  are  filled  with  a  dense  tangle  of  these  null  filaments >>

Knots  in  chaotic  waves. July  29,  2016.

http://m.phys.org/news/2016-07-chaotic.html

Alexander J. Taylor & Mark R. Dennis. Vortex knots in tangled quantum eigenfunctions. Nature Communications. Published 29 Jul 2016 DOI: 10.1038/ncomms12346 OPEN

http://www.nature.com/ncomms/2016/160729/ncomms12346/full/ncomms12346.html

# phys: optical vortex to probe magnetism in matter

<< A light "corkscrew" is sensitive to the local magnetic field direction, so it can be used to probe magnetism in a material. >>

<< Circularly polarized light can act as a powerful probe of magnetism in matter. By measuring differences in the transmission of light beams polarized in different directions as they pass through a material, physicists can unravel atomic-level details of the material’s magnetic properties. >>

Synopsis: Optical Vortices Can Probe Magnetism. Jun 12, 2019.

https://physics.aps.org/synopsis-for/10.1103/PhysRevLett.122.237401

A. A. Sirenko, P. Marsik, et al. Terahertz Vortex Beam as a Spectroscopic Probe of Magnetic Excitations. Phys. Rev. Lett. 122, 237401. Jun 12, 2019.

https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.237401

# 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.

https://www.laverita.info/dalema-conte-2658304063.html

(2) 

Andrea Pertici. Un soccorso centrista alla maggioranza dei due terzi?  

huffingtonpost.it. 18 Set 2022  17:08

https://www.huffingtonpost.it/blog/2022/09/18/news/un_soccorso_centrista_alla_maggioranza_dei_due_terzi-10239275/

Also

keyword 'RAG' in Notes

(quasi-stochastic poetry)

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

keyword 'RAG' in FonT

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

black holes (as Q-ball-type saturons) could admit multi-vortex dynamics.

FonT. Sep 19, 2022.  

https://flashontrack.blogspot.com/2022/09/astro-black-holes-as-q-ball-type.html

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

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

# gst: apropos of oscillations, viscous streaming around an immersed microfeature (e.g. a bubble)

<< Viscous streaming refers to the rectified, steady flows that emerge when a liquid oscillates around an immersed microfeature, typically a solid body or a bubble. The ability of such features to locally concentrate stresses produces strong inertial effects to which both fluid and immersed particles respond within short length (O(100) microns) and time (milliseconds) scales, rendering viscous streaming arguably the most efficient mechanism to exploit inertia at the microscale. >>️

(AA) << demonstrate that a multi-curvature approach in viscous streaming dramatically extends the range of accessible flow topologies. (They) show that numerically predicted, but never experimentally observed, streaming flows can be physically reproduced, computationally engineered, and in turn used to enhance particle manipulation, filtering and separation in compact, robust, tunable and inexpensive devices. >>️

Yashraj Bhosale, Giridar Vishwanathan, et al. Multi-curvature viscous streaming: flow topology and particle manipulation. arXiv: 2111.07184v1 [physics.flu-dyn]. Nov 13, 2021.

https://arxiv.org/abs/2111.07184

keywords: gst, viscosity, viscous streaming, bubble, oscillations, liquid oscillations, flanking vortex, particle manipulation 

# s-gst: measuring energy levels inside transitional dis-order(s)

<< Vortex  filaments  in  classical  and  quantum  fluids and  DNA  macromolecules,   magnetic  flux  tubes,  phase  defects,  polymers may interact  and  recombine  through reconnection of  neighboring strands.  Details  of  the  process  depend  on specific  local  mechanisms  that  may differ  from  case  to case,  but  certain  qualitative  features  —  such  as  the  preservation  of  the  original  strand  orientation after recombination — are generic and common to all systems. >>

<< The  study of  these  processes  is  clearly of  great  importance,  because  the  change  of  topology is often  accompanied  by a  change  in energy,  entropy and  function. >>

<< (..) HOMFLYPT  polynomial recently  introduced  for  fluid  knots (..) provides a  powerful  tool to  measure  topological  complexity of  various  physical  systems. >>

Liu,  X.,  Ricca,  R.  L.  Knots  cascade  detected  by  a  monotonically decreasing  sequence  of  values.  Sci.  Rep.6,  24118;  doi:  10.1038/srep24118  (2016).

http://www.nature.com/articles/srep24118

Quanta  energia è  nascosta  nel  caos? Bicocca, Milano,  2  maggio  2016

http://www.unimib.it/open/news/Quanta-energia-e-nascosta-nel-caos-Ce-lo-dice-il-polinomio-targato-Bicocca-Beijing-UTech/4936093294137195314

# gst: a floating vortex of fluff, the flight of the dandelion

<< A fluff-topped dandelion seed can float through the air for more than a kilometer before it drifts to the ground. In experiments last year, researchers revealed that the white filaments in the fluff-known collectively as a pappus-create a ring-shaped wake behind the seed that is associated with low pressure and acts to keep it aloft. >>

AA << have theoretically modeled the airflow around the pappus, reproducing the experimentally measured wake and showing that it provides the seed with steady flight capabilities. >>

Katherine Wright. Dandelion Fluff Perfected for Flight. July 2, 2019

https://physics.aps.org/synopsis-for/10.1103/PhysRevFluids.4.071901

Ledda PG, Siconolfi L, et al. Flow dynamics of a dandelion pappus: A linear stability approach. Phys. Rev. Fluids 4, 071901(R) July 2, 2019.

https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.4.071901

# gst: a screw mechanism to separate realistic racemic mixtures by local vorticity

AA developed << an explanatory "screw"  model for predicting the shear-flow separation of enantiomers >>

<< Enantiomers of chiral molecules are non-superposable mirror images with the same structural formula. In achiral environments, enantiomers have identical physical and chemical properties, and this prevents separation by classical methods. >>

<< A screw is a simple chiral object that couples rotation around one axis with displacement along that axis. This displacement is perpendicular to the plane of rotation and is characterized by the screw’s pitch (or lead). Here (it is defined) pitch (P) as the perpendicular distance advanced by a screw in a 2π-revolution. In a lab-fixed frame, left-and right-handed screws have pitches with the same magnitude, but with flipped signs, rotating in opposite directions to do the same task. This concept can be easily extended to chiral molecules by considering the translation-rotation coupling tensor (..). In a medium which induces rotation of molecules (as in a vortex flow), chiral molecules will translate in opposite directions. As a consequence, this asymmetry may enable the resolution of the enantiomers. >>

Thus  a << competition model and continuum drift diffusion equations are developed to predict separation of realistic racemic mixtures. (..) Additionally, (AA) find that certain achiral objects can also exhibit a non-zero molecular pitch. >>

<< Although it has been used << shear flow as the source to rotate the chiral molecules and achieve separation, it may be possible to use external forces to rotate the enantiomers >>️

️

Duraes A, Gezelter JD. Separation of Enantiomers through Local Vorticity: A Screw Model Mechanism. ChemRxiv. Cambridge: Cambridge Open Engage; Vers 1. doi: 10.33774/ chemrxiv-2021-196zw. Oct 04, 2021. 

https://chemrxiv.org/engage/chemrxiv/article-details/61575a0d46030a1245c52107  

keywords: gst, vortices, separation, enantiomeric separation, racemic mixture, screw mechanism, translation-rotation coupling, transitions.

# gst: apropos of turbulences close to a wall, the repetitive structure of a vortex

<< At the boundary where a fluid flows over a fixed structure, a turbulent boundary layer is created where the fluid interacts with the wall, creating eddies in the current. These eddies may seem to be random on first glance, but they actually create distinct patterns, with countless tiny eddies close to the wall; fewer but larger eddies located a little farther out; and even fewer, but still larger, eddies beyond those. >>

<< "We knew that, underlying these very complicated structures, there had to be a very simple pattern. We just didn't know what that pattern was until now," says McKeon, who next plans to dig deeper into the model to quantify just how many eddies should be included to create an accurate representation of the whole. >>

Engineers exploit the repeating structure of turbulence to create a more complete model of the phenomenon. California Institute of Technology. Nov 6, 2019.

https://m.phys.org/news/2019-11-exploit-turbulence-phenomenon.html

Beverley J. McKeon. Self-similar hierarchies and attached eddies. Phys. Rev. Fluids 4, 082601(R). Aug 26, 2019.

https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.4.082601