Universality of a class of annihilation coagulation models

被引：23

作者：

Balboni, D

Rey, PA

Droz, M

机构：

[1] Département de Physique Théorique, Université de Genève

来源：

PHYSICAL REVIEW E | 1995年 / 52卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.52.6220

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：

A class of d-dimensional reaction-diffusion models interpolating continuously between the diffusion-coagulation and the diffusion-annihilation models is introduced. Exact relations among the observables of different models are established. For the one-dimensional case, it is shown how correlations in the initial state can lead to nonuniversal amplitudes for time-dependent particle density.

引用

收藏

页码：6220 / 6226

页数：7

相关论文

共 27 条

[1] REACTION-DIFFUSION PROCESSES, CRITICAL-DYNAMICS, AND QUANTUM CHAINS [J].

ALCARAZ, FC ;

DROZ, M ;

HENKEL, M ;

RITTENBERG, V .

ANNALS OF PHYSICS, 1994, 230 (02) :250-302

[2]

BALBONI D, UNPUB

[3] INVASION PROCESSES AND BINARY ANNIHILATION IN ONE DIMENSION [J].

BALDING, D ;

CLIFFORD, P ;

GREEN, NJB .

PHYSICS LETTERS A, 1988, 126 (8-9) :481-483

[4] ASYMPTOTIC-BEHAVIOR OF DENSITIES FOR 2-PARTICLE ANNIHILATING RANDOM-WALKS [J].

BRAMSON, M ;

LEBOWITZ, JL .

JOURNAL OF STATISTICAL PHYSICS, 1991, 62 (1-2) :297-372

[5] ROLE OF FLUCTUATIONS FOR INHOMOGENEOUS REACTION-DIFFUSION PHENOMENA [J].

CORNELL, S ;

DROZ, M ;

CHOPARD, B .

PHYSICAL REVIEW A, 1991, 44 (08) :4826-4832

[6] INTERPARTICLE DISTRIBUTION-FUNCTIONS AND RATE-EQUATIONS FOR DIFFUSION-LIMITED REACTIONS [J].

DOERING, CR ;

BENAVRAHAM, D .

PHYSICAL REVIEW A, 1988, 38 (06) :3035-3042

[7] FLUCTUATIONS AND CORRELATIONS IN A DIFFUSION-REACTION SYSTEM - EXACT HYDRODYNAMICS [J].

DOERING, CR ;

BURSCHKA, MA ;

HORSTHEMKE, W .

JOURNAL OF STATISTICAL PHYSICS, 1991, 65 (5-6) :953-970

[8] DIFFUSION-LIMITED COAGULATION IN THE PRESENCE OF PARTICLE INPUT - EXACT RESULTS IN ONE DIMENSION [J].

DOERING, CR ;

BENAVRAHAM, D .

PHYSICAL REVIEW LETTERS, 1989, 62 (21) :2563-2566

[9]

DOI M, 1976, J PHYS A-MATH GEN, V9, P1479, DOI 10.1088/0305-4470/9/9/009

[10]

DOI M, 1976, J PHYS A-MATH GEN, V9, P1465, DOI 10.1088/0305-4470/9/9/008