TIME-DEPENDENT PERTURBATION-THEORY FOR DIFFUSIVE NONEQUILIBRIUM LATTICE MODELS

被引:26
作者
JENSEN, I [1 ]
DICKMAN, R [1 ]
机构
[1] AARHUS UNIV,INST PHYS,DK-8000 AARHUS,DENMARK
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 04期
关键词
D O I
10.1088/0305-4470/26/4/005
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We recently presented a perturbation theory for the asymptotic survival probability of an interacting particle system which can become trapped in an absorbing state. In this letter we extend the method to a simple diffusive model. Analysis of the resulting series shows that diffusion is an irrelevant perturbation, i.e. it does not change the critical behaviour. Quantitative predictions of the phase boundary are confirmed by results of Monte Carlo simulations.
引用
收藏
页码:L151 / L157
页数:7
相关论文
共 31 条
[1]  
[Anonymous], 1983, SYNERGETICS INTRO
[2]  
[Anonymous], 1985, INTERACTING PARTICLE
[3]   THE CRITICAL CONTACT PROCESS DIES OUT [J].
BEZUIDENHOUT, C ;
GRIMMETT, G .
ANNALS OF PROBABILITY, 1990, 18 (04) :1462-1482
[4]   CRITICAL EXPONENTS FOR REGGEON QUANTUM SPIN MODEL [J].
BROWER, RC ;
FURMAN, MA ;
MOSHE, M .
PHYSICS LETTERS B, 1978, 76 (02) :213-219
[5]   DIRECTED PERCOLATION AND REGGEON FIELD-THEORY [J].
CARDY, JL ;
SUGAR, RL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (12) :L423-L427
[6]   UNIVERSALITY AND DIFFUSION IN NONEQUILIBRIUM CRITICAL PHENOMENA [J].
DICKMAN, R .
PHYSICAL REVIEW B, 1989, 40 (10) :7005-7010
[7]   NONEQUILIBRIUM LATTICE MODELS - SERIES ANALYSIS OF STEADY-STATES [J].
DICKMAN, R .
JOURNAL OF STATISTICAL PHYSICS, 1989, 55 (5-6) :997-1026
[8]   1ST-ORDER PHASE-TRANSITION IN A ONE-DIMENSIONAL NONEQUILIBRIUM MODEL [J].
DICKMAN, R ;
TOME, T .
PHYSICAL REVIEW A, 1991, 44 (08) :4833-4838
[9]   RANDOM SEQUENTIAL ADSORPTION - SERIES AND VIRIAL EXPANSIONS [J].
DICKMAN, R ;
WANG, JS ;
JENSEN, I .
JOURNAL OF CHEMICAL PHYSICS, 1991, 94 (12) :8252-8257
[10]   TIME-DEPENDENT PERTURBATION-THEORY FOR NONEQUILIBRIUM LATTICE MODELS [J].
DICKMAN, R ;
JENSEN, I .
PHYSICAL REVIEW LETTERS, 1991, 67 (17) :2391-2394