# gst: packing in slender structures, the geometry of squeezed elastic beams

<< The behavior of a collection of squeezed elastic beams is determined by geometry, not by complex forces. >>️

Dan Garisto. How Order Emerges in Bendy Beam Bunches. Physics 16, 54. Apr 3, 2023.

https://physics.aps.org/articles/v16/54

<< A collection of thin structures buckle, bend, and bump into each other when confined. This contact can lead to the formation of patterns: hair will self-organize in curls; DNA strands will layer into cell nuclei; paper, when crumpled, will fold in on itself, forming a maze of interleaved sheets. This pattern formation changes how densely the structures can pack, as well as the mechanical properties of the system. >>️

<< Here (AA) study the emergence of order in a canonical example of packing in slender structures, i.e., a system of parallel confined elastic beams. >>️

They << find that the compressive stiffness and stored bending energy of this metamaterial are directly proportional to the number of beams that are geometrically frustrated at any given point.  >>

️

Arman Guerra, Anja C. Slim, et al. Self-Ordering of Buckling, Bending, and Bumping Beams. Phys. Rev. Lett. 130, 148201. Apr 3, 2023.

https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.130.148201

Also

keyword 'self-assembly' in FonT

https://flashontrack.blogspot.com/search?q=self-assembly

keyword 'elastic' in FonT

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

keyword 'elastico' in Notes

(quasi-stochastic poetry)

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

Keywords: gst, self-assembly, beams, buckling, bending, bumping, elasticity

# 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. 

https://arxiv.org/abs/2211.04381

Also 

keyword 'swimming' in FonT

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

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

# gst: apropos of unexpected thresholds, the minimum temperature for levitating a droplet

<< During the Leidenfrost effect, a thin insulating vapor layer separates an evaporating liquid from a hot solid. (AA) demonstrate that Leidenfrost vapor layers can be sustained at much lower temperatures than those required for formation. >>

<< the explosive failure point is nearly independent of material and fluid properties, suggesting a purely hydrodynamic mechanism determines this threshold. >>️

Dana Harvey, Joshua Mendez Harper, Justin C. Burton. Minimum Leidenfrost Temperature on Smooth Surfaces. Phys. Rev. Lett. 127, 104501. Sep 1, 2021.

https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.104501

Christopher Crockett. The Minimum Temperature for Levitating Droplets. Physics 14, s107. Sep 1, 2021.

https://physics.aps.org/articles/v14/s107

Also

keyword 'drop' | 'droplet' in FonT

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

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

keywords: gst, drop, droplet, waves, buckling, lubrication, convection, interfacial flows, threshold, levitation, bubble.