Measures of critical exponents in the four-dimensional site percolation

被引：59
作者：
Ballesteros, HG
Fernandez, LA
MartinMayor, V
Sudupe, AM
Parisi, G
RuizLorenzo, JJ
机构：
[1] UNIV ROMA LA SAPIENZA, DIPARTIMENTO FIS, I-00185 ROME, ITALY
[2] UNIV ROMA LA SAPIENZA, IST NAZL FIS NUCL, I-00185 ROME, ITALY
来源：
PHYSICS LETTERS B | 1997年 / 400卷 / 3-4期
关键词：
lattice; Monte Carlo; percolation; critical exponents; finite size scaling;
D O I：
10.1016/S0370-2693(97)00337-7
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Using finite-size scaling methods we measure the thermal and magnetic exponents of the site percolation in four dimensions, obtaining a value for the anomalous dimension very different from the results found in the literature. We also obtain the leading corrections-to-scaling exponent and, with great accuracy, the critical density. (C) 1997 Published by Elsevier Science B.V.
引用
收藏
页码：346 / 351
页数：6
相关论文
共 18 条
[1]   CRITICAL EXPONENTS TO ORDER EPSILON-3 FOR PHI-3 MODELS OF CRITICAL PHENOMENA IN 6-EPSILON DIMENSIONS [J].
ALCANTARABONFIM, OFD ;
KIRKHAM, JE ;
MCKANE, AJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (07) :L247-L251
[2]  
Amit D. J., 1984, FIELD THEORY RENORMA
[3]  
[Anonymous], 1994, FIELD THEORY DISORDE
[4]   Finite size effects on measures of critical exponents in d=3 O(N) models [J].
Ballesteros, HG ;
Fernandez, LA ;
MartinMayor, V ;
Sudupe, AM .
PHYSICS LETTERS B, 1996, 387 (01) :125-131
[5]   New universality class in three dimensions? The antiferromagnetic RP(2) model [J].
Ballesteros, HG ;
Fernandez, LA ;
MartinMayor, V ;
Sudupe, AM .
PHYSICS LETTERS B, 1996, 378 (1-4) :207-212
[6]   Critical properties of the antiferromagnetic RP(2) model in three dimensions [J].
Ballesteros, HG ;
Fernandez, LA ;
MartinMayor, V ;
Sudupe, AM .
NUCLEAR PHYSICS B, 1997, 483 (03) :707-736
[7]  
BALLESTEROS HG, UNPUB
[8]   FINITE SIZE SCALING ANALYSIS OF ISING-MODEL BLOCK DISTRIBUTION-FUNCTIONS [J].
BINDER, K .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02) :119-140
[9]   CRITICAL EXPONENTS FOR THE PERCOLATION PROBLEM AND THE YANG-LEE EDGE SINGULARITY [J].
BONFIM, OFDA ;
KIRKHAM, JE ;
MCKANE, AJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (09) :2391-2413
[10]   SOLVING PHI-4(1,2) FIELD-THEORY WITH MONTE-CARLO [J].
COOPER, F ;
FREEDMAN, B ;
PRESTON, D .
NUCLEAR PHYSICS B, 1982, 210 (02) :210-228
12