EFFECT OF DISORDER ON 2-DIMENSIONAL WETTING

被引:92
作者
DERRIDA, B
HAKIM, V
VANNIMENUS, J
机构
[1] ECOLE NORM SUPER,CNRS,PHYS STAT LAB,F-75231 PARIS 05,FRANCE
[2] UNIV PARIS 06,ECOLE NORMALE SUPER,PHYS STAT LAB,F-75231 PARIS 05,FRANCE
[3] UNIV PARIS 07,ECOLE NORMALE SUPER,PHYS STAT LAB,F-75231 PARIS 05,FRANCE
关键词
WETTING TRANSITION; DISORDER; TRANSFER MATRIX;
D O I
10.1007/BF01054419
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
For the problem of the 2D wetting transition near a 1D random wall, we show by a renormalization calculation that the effect of disorder is marginally relevant. It is therefore expected that the nature of the wetting transition and the location of the critical point are modified by any amount of disorder. This is supported by numerical simulations based on transfer matrix calculations. We investigate also the problem of wetting near a random wall on hierarchical lattices and find similar results.
引用
收藏
页码:1189 / 1213
页数:25
相关论文
共 17 条
[1]  
ABRAHAM DB, 1986, PHASE TRANSITIONS CR, V10, P1
[2]   SCALE-INVARIANT QUENCHED DISORDER AND ITS STABILITY-CRITERION AT RANDOM CRITICAL-POINTS [J].
ANDELMAN, D ;
BERKER, AN .
PHYSICAL REVIEW B, 1984, 29 (05) :2630-2635
[3]   RENORMALIZATION-GROUP CALCULATIONS OF FINITE SYSTEMS - ORDER PARAMETER AND SPECIFIC-HEAT FOR EPITAXIAL ORDERING [J].
BERKER, AN ;
OSTLUND, S .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1979, 12 (22) :4961-4975
[4]   POLYMERS ON DISORDERED HIERARCHICAL LATTICES - A NONLINEAR COMBINATION OF RANDOM-VARIABLES [J].
COOK, J ;
DERRIDA, B .
JOURNAL OF STATISTICAL PHYSICS, 1989, 57 (1-2) :89-139
[5]   THERMAL-PROPERTIES OF DIRECTED POLYMERS IN A RANDOM MEDIUM [J].
DERRIDA, B ;
GOLINELLI, O .
PHYSICAL REVIEW A, 1990, 41 (08) :4160-4165
[6]   RENORMALIZATION-GROUP STUDY OF A DISORDERED MODEL [J].
DERRIDA, B ;
GARDNER, E .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (16) :3223-3236
[7]   DIRECTED POLYMERS ON DISORDERED HIERARCHICAL LATTICES [J].
DERRIDA, B ;
GRIFFITHS, RB .
EUROPHYSICS LETTERS, 1989, 8 (02) :111-116
[8]  
Diehl H. W., 1986, Phase transition and critical phenomena. Vol.10, P75
[9]   CRITICAL-BEHAVIOR OF THE PHASE-TRANSITION IN THE 2D ISING-MODEL WITH IMPURITIES [J].
DOTSENKO, VS ;
DOTSENKO, VS .
ADVANCES IN PHYSICS, 1983, 32 (02) :129-172
[10]   WETTING OF A DISORDERED SUBSTRATE - EXACT CRITICAL-BEHAVIOR IN 2 DIMENSIONS [J].
FORGACS, G ;
LUCK, JM ;
NIEUWENHUIZEN, TM ;
ORLAND, H .
PHYSICAL REVIEW LETTERS, 1986, 57 (17) :2184-2187