THE SHAPES OF BOWED INTERFACES IN THE 2-DIMENSIONAL ISING-MODEL

被引:8
作者
KO, LF [1 ]
FISHER, ME [1 ]
机构
[1] UNIV MARYLAND,INST PHYS SCI & TECHNOL,COLLEGE PK,MD 20742
关键词
2D Ising model; Interfaces; random walks;
D O I
10.1007/BF01020293
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that properly normalized net energy fluctuations associated with interfaces in two-dimensional Ising models are described, asymptotically, by random walk partition functions. Two examples are investigated: one is a droplet on a wall, and the other is two nearby, ideally parallel interfaces; the mean shapes of the interfaces in both cases prove to be elliptic, bowed outward from the wall or from each other, the semiminor axis of the latter ellipse being 1/√2 that of the former, in accord with random walk results. © 1990 Plenum Publishing Corporation.
引用
收藏
页码:249 / 264
页数:16
相关论文
共 20 条
[1]   PHASE SEPARATION IN 2-DIMENSIONAL ISING FERROMAGNET [J].
ABRAHAM, DB ;
REED, P .
PHYSICAL REVIEW LETTERS, 1974, 33 (06) :377-379
[2]   INTERFACE PROFILE OF ISING FERROMAGNET IN 2 DIMENSIONS [J].
ABRAHAM, DB ;
REED, P .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 49 (01) :35-46
[3]   EXACT DERIVATION OF THE MODIFIED YOUNG EQUATION FOR PARTIAL WETTING [J].
ABRAHAM, DB ;
KO, LF .
PHYSICAL REVIEW LETTERS, 1989, 63 (03) :275-278
[4]   PHASE-SEPARATION AT THE SURFACE OF AN ISING FERROMAGNET [J].
ABRAHAM, DB ;
ISSIGONI, ME .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (04) :L89-L91
[5]  
[Anonymous], 1986, PHASE TRANSITIONS CR
[6]  
AUYANG H, UNPUB
[7]  
FELLER W, 1950, INTRO PROBABILITY TH, V1
[8]  
FISHER DS, 1982, PHYS REV LETT, V48, P369
[9]   WALKS, WALLS, WETTING, AND MELTING [J].
FISHER, ME .
JOURNAL OF STATISTICAL PHYSICS, 1984, 34 (5-6) :667-729
[10]   UNE DEMONSTRATION SIMPLIFIEE DU THEOREME DE WICK EN MECANIQUE STATISTIQUE [J].
GAUDIN, M .
NUCLEAR PHYSICS, 1960, 15 (01) :89-91