THE DOMANY-KINZEL CELLULAR AUTOMATION PHASE-DIAGRAM

被引：19

作者：

ZEBENDE, GF

PENNA, TJP

机构：

[1] Instituto de Física, Universidade Federal Fluminense, Niterói, 24001-970, RJ

来源：

JOURNAL OF STATISTICAL PHYSICS | 1994年 / 74卷 / 5-6期

关键词：

CELLULAR AUTOMATA; DAMAGE SPREADING; PHASE TRANSITIONS;

D O I：

10.1007/BF02188230

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The boundaries between the three phases of the Domany-Kinzel probabilistic cellular automaton are determined with high accuracy via the gradient method. The difficulties the extrapolation to the thermodynamic limit are circumvented and the critical exponents are also presented.

引用

收藏

页码：1273 / 1279

页数：7

相关论文

共 12 条

[1] STATIC CRITICAL EXPONENTS FROM THE DYNAMICS OF DAMAGE SPREADING AND OVERHANGS IN THE ISING-MODEL WITH TEMPERATURE-GRADIENT [J].

BATROUNI, GG ;

HANSEN, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (17) :L1059-L1064

[2] GRADIENT-METHOD FOR THERMAL PHASE-TRANSITIONS [J].

BOISSIN, N ;

HERRMANN, HJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (01) :L43-L47

[3] DIRECTED POLYMERS IN A RANDOM MEDIUM - 1/D EXPANSION AND THE N-TREE APPROXIMATION [J].

COOK, J ;

DERRIDA, B .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (09) :1523-1554

[4] DAMAGE SPREADING IN A GRADIENT [J].

DASILVA, LR ;

HERRMANN, HJ .

JOURNAL OF STATISTICAL PHYSICS, 1988, 52 (1-2) :463-470

[5] EQUIVALENCE OF CELLULAR AUTOMATA TO ISING-MODELS AND DIRECTED PERCOLATION [J].

DOMANY, E ;

KINZEL, W .

PHYSICAL REVIEW LETTERS, 1984, 53 (04) :311-314

[6] PHASE-TRANSITIONS OF CELLULAR AUTOMATA [J].

KINZEL, W .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1985, 58 (03) :229-244

[7]

KOHRING GA, 1992, J PHYS I, V2, P2033, DOI 10.1051/jp1:1992264

[8] EVIDENCE FOR A NEW PHASE IN THE DOMANY-KINZEL CELLULAR AUTOMATON [J].

MARTINS, ML ;

DERESENDE, HFV ;

TSALLIS, C ;

DEMAGALHAES, ACN .

PHYSICAL REVIEW LETTERS, 1991, 66 (15) :2045-2047

[9]

MARTINS ML, 1993, PREPRINT

[10]

SAPOVAL B, 1985, J PHYS LETT-PARIS, V46, pL749