# gst: a body of revolution with a cat’s toy mechanism.

AA << introduce a class of examples which provide an affine generalization of the nonholonomic problem of a convex body rolling without slipping on the plane. >>

️

They << prove that (this system can be) integrable if the generalized momentum M is vertical (i.e. parallel to γ) and exhibit numerical evidence that it is chaotic otherwise. >>️

M. Costa Villegas, L.C. García-Naranjo. Affine generalizations of the nonholonomic problem of a convex body rolling without slipping on the plane. arXiv: 2409.08072v1 [math-ph]. Sep 12, 2024. 

https://arxiv.org/abs/2409.08072

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

Keywords: gst, transition, chaos

# gst: apropos of bouncing, even balls that undergo rolling are typically found to lift off slipping.

<< A detailed set of experiments are described that capture over a 1000 different instances of the bounce of a golf ball. (..) Data are presented from two different turfs; one artificial and one from a typical tee. >>

<< A better fit to the data is found using a non-physical piecewise-affine landing to lift-off relationship, which distinguishes between cases that bounce in pure slip from those that undergo rolling. Nevertheless, even balls that undergo rolling are typically found to lift off slipping, having undergone spin reversal. >>

Stanisław W. Biber, Kristian M. Jones, et al. Measurements and linearized models for golf ball bounce. arXiv: 2302.02758v1 [physics.class-ph]. Jan 13, 2023. 

https://arxiv.org/abs/2302.02758

Also

keyword 'bouncing' | 'rolling' | 'slipping' in FonT

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

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

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

Keywords: gst, bouncing, rolling,  slipping

# gst: apropos of weird transitions: from non-equilibrium conditions square droplets and liquid lattices can emerge.

<< Spontaneous emergence of organized states in materials driven by non-equilibrium conditions is of notable fundamental and technological interest. In many cases, the states are complex, and their emergence is challenging to predict. Here, (AA) show that an unexpectedly diverse collection of dissipative organized states emerges in a simple system of two liquids under planar confinement when driven by electrohydrodynamic shearing.

At low shearing, a symmetry breaking at the liquid-liquid interface leads to a one-dimensional corrugation pattern. 

At slightly stronger shearing, topological changes give raise to the emergence of Quincke rolling filaments, filament networks, and two-dimensional bicontinuous fluidic lattices. 

At strong shearing, the system transitions into dissipating polygonal, toroidal, and active droplets that form dilute gas-like states at low densities and complex active emulsions at higher densities. >>

Geet Raju, Nikos Kyriakopoulos, Jaakko V. I. Timonen. Diversity of non-equilibrium patterns and emergence of activity in confined electrohydrodynamically driven liquids. Science  Advances. Vol 7, Issue 38. doi: 10.1126/ sciadv.abh1642. 15 Sep 15, 2021.

https://www.science.org/doi/10.1126/sciadv.abh1642

<< Things in equilibrium tend to be quite boring, (..) It's fascinating to drive systems out of equilibrium and see if the non-equilibrium structures can be controlled or be useful. Biological life itself is a good example of truly complex behavior in a bunch of molecules that are out of thermodynamic equilibrium. >>  Jaakko Timonen.

Physicists make square droplets and liquid lattices. Aalto University. Sep 15, 2021. 

https://phys.org/news/2021-09-physicists-square-droplets-liquid-lattices.html

Also

keyword 'drop' | 'droplet' in FonT

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

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

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

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

keywords: gst, drop, droplet, lattice, transition, out of equilibrium.

# blues; New Moon Jelly Roll Freedom Rockers. Vol. 1 (Stony Plain). Sep 4, 2020.

<< In 2007, while rolling through the American night in a ramshackle retirement home vehicle badly disguised as a tour bus, blues legend Charlie Musselwhite and North Mississippi Allstars' guitarist Luther Dickinson engaged in conversation. The younger man related Alvin Youngblood Hart's philosophical desire to live as a "freedom rocker." The wily elder bluesman listened to his words, then looked out the window and knowingly pointed at the rising moon. He replied: "New Moon Freedom Rockers." Back in Mississippi at the Zebra Ranch studio, Musselwhite and Cody and Luther Dickinson joined forces with their dad, roots rock legend Jim Dickinson (who promptly added the words "Jelly Roll" to the band's name), Alvin Hart, and Jimbo Mathus, with NMA bassist Chris Chew and Paul Taylor as guests. They circled chairs, placed mikes, and hit "record." Afterwards, the session tapes were archived. They sat in the vault until Jim Dickinson passed in 2009, and they became apocryphal. Stony Plain's Holger Peterson contacted Luther and Cody about releasing them. >>

<< Here's to hoping there's enough left over for a second volume. >> 

Thom Jurek. AllMusic Review. Sep 4, 2020. 

https://www.allmusic.com/album/new-moon-jelly-roll-freedom-rockers-vol-1-mw0003403214

https://www.youtube.com/channel/UCmlTKgY9YawHtVpwtOv5Z7Q

Also 

keyword 'Jelly Roll' in Notes (quasi-stochastic poetry)

https://inkpi.blogspot.com/search?q=jelly+roll

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

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

keyword 'Jelly Roll' in FonT

https://flashontrack.blogspot.com/search?q=jelly+roll

# gst: apropos of swirling granular media, a geometric frustration; will these entities turn left or right?

<< Granular material in a swirled container exhibits a curious transition as the number of particles is increased: At low densities, the particle cluster rotates in the same direction as the swirling motion of the container, while at high densities it rotates in the opposite direction.  >>

AA << show that the transition to counterrotation is friction dependent. At high particle densities, frictional effects result in geometric frustration, which prevents particles from cooperatively rolling and spinning. Consequently, the particle cluster rolls like a rigid body with no-slip conditions on the container wall, which necessarily counterrotates around its own axis. Numerical simulations verify that both wall-disk friction and disk-disk friction are critical for inducing counterrotation. >>

Lisa M. Lee, John Paul Ryan, et al. Geometric frustration induces the transition between rotation and counterrotation in swirled granular media. Phys. Rev. E 100, 012903. July 8, 2019.     https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.012903  

Leah Burrows. Solving the pancake problem. Harvard University. Aug 30, 2019.    https://m.phys.org/news/2019-08-pancake-problem.html  

# s-gst: tracing nonlocal surreal behaviors ...

<< (..) particles at the quantum level can in fact be seen as behaving something like billiard balls rolling along a table, and not merely as the probabilistic smears that the standard interpretation of quantum mechanics suggests. But there’s a catch – the tracks the particles follow do not always behave as one would expect from “realistic” trajectories, but often in a fashion that has been termed “surrealistic” >>

http://www.cifar.ca/assets/researchers-demonstrate-quantum-surrealism/

Dylan H. Mahler, Lee Rozema, et al. Experimental nonlocal and surreal Bohmian trajectories. Science Advances  19 Feb 2016:
Vol. 2, no. 2, e1501466. DOI: 10.1126/science.1501466

http://dx.doi.org/10.1126/science.1501466

http://advances.sciencemag.org/content/2/2/e1501466.full-text.pdf+html

# s-gst: like a rolling stone

<< Here we report the discovery that even the simplest, oldest and most prevalent forms of evolutionary movement—rolling bodies and whirls of turbulence—exhibit the same body-size effect on life time and life travel as the evolutionary movement united by the body-size effect so far: animals, rivers, vehicles, jets and plumes. >>

Adrian Bejan. Rolling stones and turbulent eddies: why the bigger live longer and travel farther. Nature. Scientific Reports 6, Article number: 21445 (2016). doi:10.1038/srep21445. Published online: 17 Feb 2016.

http://www.nature.com/articles/srep21445

http://pratt.duke.edu/news/rolling-stones-turbulence-connect-evolution-physics

more:

Muddy Waters. Rollin' Stone

https://m.youtube.com/watch?v=sVmEMv8rcCA

Bob Dylan. Like a Rolling Stone (Original)

https://m.youtube.com/watch?v=H3Kt2v-PN9A