High and low temperature series estimates for the critical temperature of the 3D Ising model

被引:21
作者
Salman, Z [1 ]
Adler, J [1 ]
机构
[1] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 1998年 / 9卷 / 01期
关键词
series expansions; Ising model; critical exponents; critical temperature;
D O I
10.1142/S0129183198000157
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We have analyzed low and high temperature series expansions for the three-dimensional Ising model on the simple cubic lattice. Our analysis of Butera and Comi's new al-term high temperature series yields K-c = 0.221659 + 0.000002/0.000005 and from the 32-term low temperature series of Vohwinkel we find K-c = 0.22167 +/- 0.00002, consistent with the high temperature series but with larger error bars. We discuss the reasons for the larger error bars on the low temperature side and compare these values with estimates from other series analyses and from simulations.
引用
收藏
页码:195 / 209
页数:15
相关论文
共 26 条
[1]   CRITICAL-TEMPERATURES OF THE D=3, S=1/2 ISING-MODEL - THE EFFECT OF CONFLUENT CORRECTIONS TO SCALING [J].
ADLER, J .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (15) :3585-3599
[2]   NEW METHOD FOR ANALYZING CONFLUENT SINGULARITIES AND ITS APPLICATION TO TWO-DIMENSIONAL PERCOLATION [J].
ADLER, J ;
MOSHE, M ;
PRIVMAN, V .
PHYSICAL REVIEW B, 1982, 26 (03) :1411-1415
[3]   VISUALIZATION OF GRAPHICAL METHODS OF SERIES ANALYSIS [J].
ADLER, J ;
CHANG, I .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C-PHYSICS AND COMPUTERS, 1993, 4 (05) :1007-1022
[4]  
ADLER J, 1981, J PHYS A, V14, pL323
[5]  
ADLER J, 1983, PERCOLATION STRUCTUR, V5, pCH17
[6]   UNIVERSALITY IN ANALYTIC CORRECTIONS TO SCALING FOR PLANAR ISING-MODELS [J].
AHARONY, A ;
FISHER, ME .
PHYSICAL REVIEW LETTERS, 1980, 45 (09) :679-682
[7]   FINITE-SIZE SCALING IN THE 3-DIMENSIONAL ISING-MODEL [J].
BARBER, MN ;
PEARSON, RB ;
TOUSSAINT, D ;
RICHARDSON, JL .
PHYSICAL REVIEW B, 1985, 32 (03) :1720-1730
[8]   ISING UNIVERSALITY IN 3 DIMENSIONS - A MONTE-CARLO STUDY [J].
BLOTE, HWJ ;
LUIJTEN, E ;
HERINGA, JR .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (22) :6289-6313
[9]   N-vector spin models on the simple-cubic and the body-centered-cubic lattices: A study of the critical behavior of the susceptibility and of the correlation length by high-temperature series extended to order beta(21) [J].
Butera, P ;
Comi, M .
PHYSICAL REVIEW B, 1997, 56 (13) :8212-8240
[10]   CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL ISING-MODEL - A HIGH-RESOLUTION MONTE-CARLO STUDY [J].
FERRENBERG, AM ;
LANDAU, DP .
PHYSICAL REVIEW B, 1991, 44 (10) :5081-5091