FINITE-SIZE-SCALING FOR PERCOLATION ABOVE 6 DIMENSIONS

被引：14

作者：

AHARONY, A ^{[1
]}

STAUFFER, D ^{[1
]}

机构：

[1] UNIV COLOGNE,INST THEORET PHYS,D-50923 COLOGNE,GERMANY

来源：

PHYSICA A | 1995年 / 215卷 / 03期

关键词：

D O I：

10.1016/0378-4371(95)00034-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider percolation in d dimensions for finite samples of linear size L. Theoretical arguments are presented to show that for d > 6, the shift in the percolation threshold, p(c)(L) - p(c)(infinity, behaves like A/L(2) + B/L(d/3); for periodic boundary conditions, A = 0. These predictions are consistent with recent simulations in seven dimensions.

引用

页码：242 / 246

页数：5

共 11 条

[1] SCALING AT THE PERCOLATION-THRESHOLD ABOVE 6 DIMENSIONS [J].

AHARONY, A ;

GEFEN, Y ;

KAPITULNIK, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (04) :L197-L202

[2] FINITE-SIZE TESTS OF HYPERSCALING [J].

BINDER, K ;

NAUENBERG, M ;

PRIVMAN, V ;

YOUNG, AP .

PHYSICAL REVIEW B, 1985, 31 (03) :1498-1502

[3]

BINDER K, 1985, Z PHYS B CON MAT, V61, P13, DOI 10.1007/BF01308937

[4]

FISHER ME, 1974, RENORMALIZATION GROU, P16313

[5] PERCOLATION PROCESSES IN D-DIMENSIONS [J].

GAUNT, DS ;

SYKES, MF ;

RUSKIN, H .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1976, 9 (11) :1899-1911

[6]

NELSON DR, 1976, PHYS REV B, V13, P2208

[7] CRITICAL PROPERTIES OF 2 TENSOR MODELS WITH APPLICATION TO PERCOLATION PROBLEM [J].

PRIEST, RG ;

LUBENSKY, TC .

PHYSICAL REVIEW B, 1976, 13 (09) :4159-4171

[8]

RICKWARDT C, 1994, ANN PHYS-LEIPZIG, V3, P483, DOI 10.1002/andp.19945060606

[9] EFFECT OF BOUNDARY-CONDITIONS ON THE CRITICAL-BEHAVIOR OF A FINITE HIGH-DIMENSIONAL ISING-MODEL [J].

RUDNICK, J ;

GASPARI, G ;

PRIVMAN, V .

PHYSICAL REVIEW B, 1985, 32 (11) :7594-7596

[10] FINITE-SIZE EFFECT IN 7-DIMENSIONAL SITE PERCOLATION [J].

STAUFFER, D .

PHYSICA A, 1994, 210 (3-4) :317-319

← 1 2 →