CELLULAR-AUTOMATON APPROACH TO A SURFACE-REACTION

被引:30
作者
MAI, J
VONNIESSEN, W
机构
[1] Institut für Physikalische und Theoretische Chemie, Technische Universität Braunschweig
来源
PHYSICAL REVIEW A | 1991年 / 44卷 / 10期
关键词
D O I
10.1103/PhysRevA.44.R6165
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A cellular-automaton model for a surface reaction is introduced that describes the chemical reactions correctly. The phase-transition points and the order of the phase transitions agree well with the results of Ziff, Gulari, and Barshad via a Monte Carlo simulation [Phys. Rev. Lett. 56, 2553 (1986)]. The high performance of the cellular automaton leads to a more precise determination of the critical exponent beta at the second-order phase transition (beta = 0.58), which thus appears to belong to the universality class of Reggeon field theory.
引用
收藏
页码:R6165 / R6168
页数:4
相关论文
共 17 条
[1]   ON THE CRITICAL-BEHAVIOR OF CELLULAR AUTOMATA MODELS OF NONEQUILIBRIUM PHASE-TRANSITIONS [J].
BENEY, P ;
DROZ, M ;
FRACHEBOURG, L .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (14) :3353-3359
[2]  
BERRYMAN HS, 1989, PHYS LETT A, V136, P348, DOI 10.1016/0375-9601(89)90413-1
[3]   CRITICAL EXPONENTS FOR REGGEON QUANTUM SPIN MODEL [J].
BROWER, RC ;
FURMAN, MA ;
MOSHE, M .
PHYSICS LETTERS B, 1978, 76 (02) :213-219
[4]   CELLULAR AUTOMATA APPROACH TO NON-EQUILIBRIUM PHASE-TRANSITIONS IN A SURFACE-REACTION MODEL - STATIC AND DYNAMIC PROPERTIES [J].
CHOPARD, B ;
DROZ, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (01) :205-211
[5]   KINETIC PHASE-TRANSITIONS IN A SURFACE-REACTION MODEL - MEAN-FIELD THEORY [J].
DICKMAN, R .
PHYSICAL REVIEW A, 1986, 34 (05) :4246-4250
[6]   NONEQUILIBRIUM CRITICAL POISONING IN A SINGLE-SPECIES MODEL [J].
DICKMAN, R ;
BURSCHKA, MA .
PHYSICS LETTERS A, 1988, 127 (03) :132-137
[7]   DIRECTED PERCOLATION IN 2+1 DIMENSIONS [J].
GRASSBERGER, P .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (17) :3673-3679
[8]   CRITICAL PHENOMENA IN A NONEQUILIBRIUM MODEL OF HETEROGENEOUS CATALYSIS [J].
GRINSTEIN, G ;
LAI, ZW ;
BROWNE, DA .
PHYSICAL REVIEW A, 1989, 40 (08) :4820-4823
[9]   KINETIC OSCILLATIONS IN THE CATALYTIC CO OXIDATION ON PT(100) - THEORY [J].
IMBIHL, R ;
COX, MP ;
ERTL, G .
JOURNAL OF CHEMICAL PHYSICS, 1985, 83 (04) :1578-1587
[10]   CRITICAL EXPONENTS FOR AN IRREVERSIBLE SURFACE-REACTION MODEL [J].
JENSEN, I ;
FOGEDBY, HC ;
DICKMAN, R .
PHYSICAL REVIEW A, 1990, 41 (06) :3411-3414