Simulation of the four-dimensional Ising model on the Creutz cellular automaton

被引：24

作者：

Aktekin, N

机构：

[1] Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü

来源：

PHYSICA A | 1996年 / 232卷 / 1-2期

关键词：

Ising model; cellular automata; critical exponents;

D O I：

10.1016/0378-4371(96)00122-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The four-dimensional Ising model is simulated on the Creutz cellular automaton. The computed values of the critical temperature, the static critical exponents for the order parameter, the magnetic susceptibility, the specific heat, and the linear dynamical critical exponent for the order parameter are in agreement with the predictions of the renormalization group theory.

引用

收藏

页码：397 / 407

页数：11

相关论文

共 18 条

[1]

ADLER J, INT J MOD PHYS C

[2] SIMULATION OF THE 3-DIMENSIONAL ISING-MODEL ON THE CREUTZ CELLULAR-AUTOMATON [J].

AKTEKIN, N .

PHYSICA A, 1995, 219 (3-4) :436-446

[3]

Baxter R. J., 1989, Baxter

[4] APPROACH TO SCALING IN RENORMALIZED PERTURBATION-THEORY [J].

BREZIN, E ;

LEGUILLO.JC ;

ZINNJUST.J .

PHYSICAL REVIEW D, 1973, 8 (08) :2418-2430

[5] DETERMINISTIC ISING DYNAMICS [J].

CREUTZ, M .

ANNALS OF PHYSICS, 1986, 167 (01) :62-72

[6] SUSCEPTIBILITY AND 4TH-FIELD DERIVATIVE OF THE SPIN-1/2 ISING-MODEL FOR T GREATER-THAN TC AND D=4 [J].

GAUNT, DS ;

SYKES, MF ;

MCKENZIE, S .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1979, 12 (06) :871-877

[7] RENORMALIZATION-GROUP ANALYSIS OF FINITE-SIZE SCALING IN THE PHI(4)4 MODEL [J].

KENNA, R ;

LANG, CB .

NUCLEAR PHYSICS B, 1993, 393 (03) :461-479

[8] FINITE SIZE SCALING AND THE ZEROS OF THE PARTITION-FUNCTION IN THE PHI-4(4) MODEL [J].

KENNA, R ;

LANG, CB .

PHYSICS LETTERS B, 1991, 264 (3-4) :396-400

[9] COMPUTATION OF CORRELATION-FUNCTIONS OF THE 2-DIMENSIONAL ISING-MODEL [J].

KUTLU, B ;

AKTEKIN, N .

PHYSICA A, 1995, 215 (03) :370-377

[10] COMPUTATION OF CRITICAL EXPONENTS FOR 2-DIMENSIONAL ISING-MODEL ON A CELLULAR-AUTOMATON [J].

KUTLU, B ;

AKTEKIN, N .

JOURNAL OF STATISTICAL PHYSICS, 1994, 75 (3-4) :757-763