POTTS-MODEL FORMULATION OF PERCOLATION AND BRANCHED POLYMERS ON A FRACTAL LATTICE

被引:7
作者
BORJAN, Z
KNEZEVIC, M
MILOSEVIC, S
机构
关键词
D O I
10.1103/PhysRevB.47.144
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present exact and complete recursion relations for the partition and correlation functions of the q-state Potts model, in a magnetic field, on a Sierpinski-gasket fractal lattice. In the q=1 limit, we obtain results that are relevant to the cluster statistics associated with percolation and branched-polymer problems.
引用
收藏
页码:144 / 149
页数:6
相关论文
共 15 条
[1]   POTTS-MODEL FORMULATION OF BRANCHED POLYMERS IN A SOLVENT [J].
CONIGLIO, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (06) :L187-L191
[2]   LATTICES OF EFFECTIVELY NONINTEGRAL DIMENSIONALITY [J].
DHAR, D .
JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (04) :577-585
[3]   CROSSOVER FROM PERCOLATION TO RANDOM ANIMALS AND COMPACT CLUSTERS [J].
FAMILY, F ;
CONIGLIO, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (11) :L403-L408
[4]   RANDOM-CLUSTER MODEL .1. INTRODUCTION AND RELATION TO OTHER MODELS [J].
FORTUIN, CM ;
KASTELEYN, PW .
PHYSICA, 1972, 57 (04) :536-+
[5]   CRITICAL PHENOMENA ON FRACTAL LATTICES [J].
GEFEN, Y ;
MANDELBROT, BB ;
AHARONY, A .
PHYSICAL REVIEW LETTERS, 1980, 45 (11) :855-858
[6]   PHASE-TRANSITIONS ON FRACTALS .2. SIERPINSKI GASKETS [J].
GEFEN, Y ;
AHARONY, A ;
SHAPIR, Y ;
MANDELBROT, BB .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (02) :435-444
[7]   SPIN MODELS AND CLUSTER DISTRIBUTIONS FOR BOND AND SITE PERCOLATION MODELS [J].
GIRI, MR ;
STEPHEN, MJ ;
GREST, GS .
PHYSICAL REVIEW B, 1977, 16 (11) :4971-4977
[8]   GENERALIZED PERCOLATION [J].
HARRIS, AB ;
LUBENSKY, TC .
PHYSICAL REVIEW B, 1981, 24 (05) :2656-2670
[9]   CRITICAL-BEHAVIOR OF AN INTERACTING POLYMER-CHAIN IN A POROUS MODEL SYSTEM - EXACT RESULTS FOR TRUNCATED SIMPLEX LATTICES [J].
KNEZEVIC, D ;
KNEZEVIC, M ;
MILOSEVIC, S .
PHYSICAL REVIEW B, 1992, 45 (02) :574-585
[10]   LARGE-SCALE PROPERTIES AND COLLAPSE TRANSITION OF BRANCHED POLYMERS - EXACT RESULTS ON FRACTAL LATTICES [J].
KNEZEVIC, M ;
VANNIMENUS, J .
PHYSICAL REVIEW LETTERS, 1986, 56 (15) :1591-1594