PHENOMENOLOGICAL RENORMALIZATION-GROUP FOR CELLULAR AUTOMATA

被引：8

作者：

BAGNOLI, F

BULAJICH, R

LIVI, R

MARITAN, A

机构：

[1] UNIV FLORENCE, DIPARTIMENTO FIS, I-50125 FLORENCE, ITALY

[2] UNIV PADUA, DIPARTIMENTO FIS, I-35131 PADUA, ITALY

[3] IST NAZL FIS NUCL, FLORENCE, ITALY

[4] UNITA INFM FIRENZE, FLORENCE, ITALY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 17期

关键词：

D O I：

10.1088/0305-4470/25/17/010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The phenomenological renormalization group method introduced by Barber for equilibrium spin models is extended to stochastic cellular automata exhibiting continuous phase transitions from a quiescent state to an active one. The method is applied to the Domany-Kinzel model, which contains bond and site directed percolation in 1 + 1 dimensions as special cases. A new universality class with critical exponents close to, but definitely different from, the ones of directed percolation is predicted. Finite-size scaling analysis and Monte Carlo simulations provide further support to this result.

引用

页码：L1071 / L1077

页数：7

共 16 条

[11] RENORMALIZED FIELD-THEORY OF DYNAMICAL PERCOLATION
JANSSEN, HK
[J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1985, 58 (04): : 311 - 317
[12] ON THE NON-EQUILIBRIUM PHASE-TRANSITION IN REACTION-DIFFUSION SYSTEMS WITH AN ABSORBING STATIONARY STATE
JANSSEN, HK
[J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 42 (02): : 151 - 154
[13] CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL CONTACT PROCESS
JENSEN, I
[J]. PHYSICAL REVIEW A, 1992, 45 (02): : R563 - R566
[14] PHASE-TRANSITIONS OF CELLULAR AUTOMATA
KINZEL, W
[J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1985, 58 (03): : 229 - 244
[15] EVIDENCE FOR A NEW PHASE IN THE DOMANY-KINZEL CELLULAR AUTOMATON
MARTINS, ML
DERESENDE, HFV
TSALLIS, C
DEMAGALHAES, ACN
[J]. PHYSICAL REVIEW LETTERS, 1991, 66 (15) : 2045 - 2047
[16] FINITE-SIZE SCALING AND PHENOMENOLOGICAL RENORMALIZATION
NIGHTINGALE, P
[J]. JOURNAL OF APPLIED PHYSICS, 1982, 53 (11) : 7927 - 7932

← 1 2 →