Equilibrium states and ground state of two-dimensional fluid foams

被引:76
作者
Graner, F. [1 ]
Jiang, Y. [2 ]
Janiaud, E. [3 ,4 ,5 ]
Flament, C. [3 ,4 ,5 ]
机构
[1] CNRS UMR 5588, Université Grenoble I, Lab. de Spectrométrie Phys., Boîte Postale 87, F-38402 St. Martin d'Heres Cedex, France
[2] Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, United States
[3] Lab. Milieux Desordonnes H., Université Paris 6, Paris Cedex 05, France
[4] CNRS UMR 7603, 4 place Jussieu, 75252 Paris Cedex 05, France
[5] Université Paris 7, Denis Diderot, U. Form. Rech. de Phys., 2 place Jussieu, 75251 Paris Cedex 05, France
来源
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2001年 / 63卷 / 1 I期
关键词
Computer simulation - Ground state - Mathematical models - Monte Carlo methods - Phase equilibria - Topology;
D O I
10.1103/PhysRevE.63.011402
中图分类号
学科分类号
摘要
The equilibrium energies of two-dimensional noncoarsening fluid foams are studied. The foams consist of bubbles with fixed areas. The equilibrium stages corresponds to local minima. A theoretical derivation of energy minima is presented. Monte Carlo simulations using the extended large-Q Potts model are presented. Physical insight and an electronic analogy is developed for a dry foam with small size variance. It helps to find an approximate value of the global minimum perimeter.
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页码:011402 / 011401
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