Branching annihilating random walk on random regular graphs

被引:15
作者
Szabó, G [1 ]
机构
[1] Res Inst Tech Phys & Mat Sci, H-1525 Budapest, Hungary
来源
PHYSICAL REVIEW E | 2000年 / 62卷 / 05期
关键词
D O I
10.1103/PhysRevE.62.7474
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The branching annihilating random walk is studied on a random graph whose sites have a uniform number of neighbors (z). The Monte Carlo simulations in agreement with the generalized mean-field analysis indicate that the concentration decreases linearly with the branching rate for z greater than or equal to4, while the coefficient of the linear term becomes zero if z=3. These properties are described by a modified mean-field theory taking explicitly into consideration the probability of mutual annihilation of the parent and its offspring particles using the returning features of a single walker on the same graph.
引用
收藏
页码:7474 / 7477
页数:4
相关论文
共 18 条
[11]   RANDOM-WALKS ON THE BETHE LATTICE [J].
HUGHES, BD ;
SAHIMI, M .
JOURNAL OF STATISTICAL PHYSICS, 1982, 29 (04) :781-794
[12]   Critical behavior of the contact process with parity conservation [J].
Inui, N ;
Tretyakov, AY .
PHYSICAL REVIEW LETTERS, 1998, 80 (23) :5148-5151
[13]   ON THE NON-EQUILIBRIUM PHASE-TRANSITION IN REACTION-DIFFUSION SYSTEMS WITH AN ABSORBING STATIONARY STATE [J].
JANSSEN, HK .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 42 (02) :151-154
[14]   CONSERVATION-LAWS AND UNIVERSALITY IN BRANCHING ANNIHILATING RANDOM-WALKS [J].
JENSEN, I .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (16) :3921-3930
[15]   CRITICAL EXPONENTS FOR BRANCHING ANNIHILATING RANDOM-WALKS WITH AN EVEN NUMBER OF OFFSPRING [J].
JENSEN, I .
PHYSICAL REVIEW E, 1994, 50 (05) :3623-3633
[16]   RECURRENT RANDOM-WALKS AND THE ABSENCE OF CONTINUOUS SYMMETRY-BREAKING ON GRAPHS [J].
MERKL, F ;
WAGNER, H .
JOURNAL OF STATISTICAL PHYSICS, 1994, 75 (1-2) :153-165
[17]   EXTINCTION, SURVIVAL, AND DYNAMIC PHASE-TRANSITION OF BRANCHING ANNIHILATING RANDOM-WALK [J].
TAKAYASU, H ;
TRETYAKOV, AY .
PHYSICAL REVIEW LETTERS, 1992, 68 (20) :3060-3063
[18]   Collective dynamics of 'small-world' networks [J].
Watts, DJ ;
Strogatz, SH .
NATURE, 1998, 393 (6684) :440-442