EXACT FIXED-POINT FOR DIRECTED RANDOM-WALKS

被引:22
作者
RAJASEKARAN, JJ
BHATTACHARJEE, SM
机构
[1] Inst. of Phys., Bhubaneswar
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 07期
关键词
D O I
10.1088/0305-4470/24/7/010
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We have shown that the renormalization group fixed point for mutually avoiding directed random walks in (d + 1) dimensions is exactly 2-pi-epsilon where epsilon = 2 - d, with no higher order terms in epsilon. Since the whole calculation can be carried out to all orders exactly, the model is also significant from a pedagogical point of view.
引用
收藏
页码:L371 / L375
页数:5
相关论文
共 15 条
[1]   CRITICAL-BEHAVIOR OF A 3-DIMENSIONAL DIMER MODEL [J].
BHATTACHARJEE, SM ;
NAGLE, JF ;
HUSE, DA ;
FISHER, ME .
JOURNAL OF STATISTICAL PHYSICS, 1983, 32 (02) :361-374
[2]  
BHATTACHARJEE SM, 1990, PREPRINT
[3]   COLLAPSE TRANSITION IN A SIMPLE POLYMER MODEL - EXACT RESULTS [J].
BINDER, PM ;
OWCZAREK, AL ;
VEAL, AR ;
YEOMANS, JM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (18) :L975-L979
[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]   STATISTICAL MECHANICS OF POLYMERS WITH EXCLUDED VOLUME [J].
EDWARDS, SF .
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1965, 85 (546P) :613-&
[6]   WALKS, WALLS, WETTING, AND MELTING [J].
FISHER, ME .
JOURNAL OF STATISTICAL PHYSICS, 1984, 34 (5-6) :667-729
[7]  
Freed K. F., 1987, RENORMALIZATION GROU
[8]   STATISTICAL-MECHANICS OF BIOMEMBRANE PHASE-TRANSITION .1. EXCLUDED VOLUME EFFECTS OF LIPID CHAINS IN THEIR CONFORMATION CHANGE [J].
IZUYAMA, T ;
AKUTSU, Y .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1982, 51 (01) :50-58
[9]  
NAGLE JF, 1989, PHASE TRANSITIONS CR, V13
[10]   THEORY OF MELTED FLUX LIQUIDS [J].
NELSON, DR ;
SEUNG, HS .
PHYSICAL REVIEW B, 1989, 39 (13) :9153-9174