Layering in crumpled sheets

被引:9
作者
Aristoff, D. [1 ]
Radin, C. [1 ]
机构
[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA
关键词
CLOSE PACKING; RODS;
D O I
10.1209/0295-5075/91/56003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We introduce a toy model of crumpled sheets, and use Monte Carlo simulation to show there is a first-order phase transition in the model, from a disordered dilute phase to a mixture with a layered phase. We demonstrate the transition through two order parameters, corr and lay, the first of which measures orientational order while the second measures bulk layering. An important feature of the argument is the behavior of the system as its size is increased. Copyright (C) EPLA, 2010
引用
收藏
页数:6
相关论文
共 15 条
[1]  
ARISTOFF D, ARXIV09092608, P56211
[2]   Entropic rigidity of a crumpling network in a randomly folded thin sheet [J].
Balankin, Alexander S. ;
Huerta, Orlando Susarrey .
PHYSICAL REVIEW E, 2008, 77 (05)
[3]   Folding of flexible rods confined in 2D space [J].
Boue, Laurent ;
Katzav, Eytan .
EPL, 2007, 80 (05)
[4]  
De Gennes P.-G, 1979, Scaling concepts in polymer physics
[5]   THEORY OF POWDERS [J].
EDWARDS, SF ;
OAKESHOTT, RBS .
PHYSICA A, 1989, 157 (03) :1080-1090
[6]  
Flory P. J., 1989, STAT MECH CHAIN MOLE
[7]   STATISTICAL THERMODYNAMICS OF SEMI-FLEXIBLE CHAIN MOLECULES [J].
FLORY, PJ .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1956, 234 (1196) :60-73
[8]  
Jacobsen JL, 2004, PHYS REV E, V69, DOI 10.1103/PhysRevE.69.066108
[9]  
KANTOR Y, 1989, STATISTICAL MECHANIC, P115
[10]   A statistical approach to close packing of elastic rods and to DNA packaging in viral capsids [J].
Katzav, E. ;
Adda-Bedia, M. ;
Boudaoud, A. .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2006, 103 (50) :18900-18904