Statistical mechanics of two-dimensional shuffled foams: Geometry-topology correlation in small or large disorder limits

Marc Durand, Andrew M. Kraynik, Frank Van Swol, Jos Käfer, Catherine Quilliet, Simon Cox, Shirin Ataei Talebi, François Graner

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

13 Dyfyniadau(SciVal)
199 Wedi eu Llwytho i Lawr (Pure)


Bubble monolayers are model systems for experiments and simulations of two-dimensional packing problems of deformable objects. We explore the relation between the distributions of the number of bubble sides (topology) and the bubble areas (geometry) in the low liquid fraction limit. We use a statistical model [M. Durand, Europhys. Lett. 90, 60002 (2010)EULEEJ0295-507510.1209/0295- 5075/90/60002] which takes into account Plateau laws. We predict the correlation between geometrical disorder (bubble size dispersity) and topological disorder (width of bubble side number distribution) over an extended range of bubble size dispersities. Extensive data sets arising from shuffled foam experiments, surface evolver simulations, and cellular Potts model simulations all collapse surprisingly well and coincide with the model predictions, even at extremely high size dispersity. At moderate size dispersity, we recover our earlier approximate predictions [M. Durand, J. Kafer, C. Quilliet, S. Cox, S. A. Talebi, and F. Graner, Phys. Rev. Lett. 107, 168304 (2011)PRLTAO0031-900710.1103/ PhysRevLett.107.168304]. At extremely low dispersity, when approaching the perfectly regular honeycomb pattern, we study how both geometrical and topological disorders vanish. We identify a crystallization mechanism and explore it quantitatively in the case of bidisperse foams. Due to the deformability of the bubbles, foams can crystallize over a larger range of size dispersities than hard disks. The model predicts that the crystallization transition occurs when the ratio of largest to smallest bubble radii is 1.4.

Iaith wreiddiolSaesneg
Rhif yr erthygl062309
CyfnodolynPhysical Review E
Rhif cyhoeddi6
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 19 Meh 2014

Ôl bys

Gweld gwybodaeth am bynciau ymchwil 'Statistical mechanics of two-dimensional shuffled foams: Geometry-topology correlation in small or large disorder limits'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.

Dyfynnu hyn