EXACT RESULTS FOR A 3-BODY REACTION-DIFFUSION SYSTEM

被引：18

作者：

PRIVMAN, V

机构：

[1] Department of Physics, Theoretical Physics, University of Oxford, Oxford OX1 3NP

来源：

PHYSICAL REVIEW A | 1992年 / 46卷 / 10期

关键词：

D O I：

10.1103/PhysRevA.46.R6140

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A system of particles hopping on a line, singly or as merged pairs, and annihilating in groups of three on encounters, is solved exactly for certain symmetrical initial conditions. The functional form of the density is nearly identical to that found in two-body annihilation, and both systems show approximately 1/square-root t decrease of particle density for large times.

引用

页码：R6140 / R6142

页数：3

共 15 条

[1] DIFFUSION ANNIHILATION IN ONE DIMENSION AND KINETICS OF THE ISING-MODEL AT ZERO TEMPERATURE
AMAR, JG
FAMILY, F
[J]. PHYSICAL REVIEW A, 1990, 41 (06): : 3258 - 3262
[2] STATICS AND DYNAMICS OF A DIFFUSION-LIMITED REACTION - ANOMALOUS KINETICS, NONEQUILIBRIUM SELF-ORDERING, AND A DYNAMIC TRANSITION
BENAVRAHAM, D
BURSCHKA, MA
DOERING, CR
[J]. JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (5-6) : 695 - 728
[3] CLUSTERING AND DISPERSION RATES FOR SOME INTERACTING PARTICLE-SYSTEMS ON Z
BRAMSON, M
GRIFFEATH, D
[J]. ANNALS OF PROBABILITY, 1980, 8 (02) : 183 - 213
[4] ASYMPTOTIC-BEHAVIOR OF DENSITIES IN DIFFUSION-DOMINATED ANNIHILATION REACTIONS
BRAMSON, M
LEBOWITZ, JL
[J]. PHYSICAL REVIEW LETTERS, 1988, 61 (21) : 2397 - 2400
[5] EFFECTS OF PROBABILITY OF REACTION ON ANNIHILATION REACTIONS IN ONE DIMENSION
BRAUNSTEIN, L
MARTIN, HO
GRYNBERG, MD
ROMAN, HE
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (05): : L255 - L260
[6] UNIVERSAL SCALING FUNCTION FOR DOMAIN GROWTH IN THE GLAUBER-ISING CHAIN
BRAY, AJ
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (02): : L67 - L72
[7] SCALE-INVARIANT REGIMES IN ONE-DIMENSIONAL MODELS OF GROWING AND COALESCING DROPLETS
DERRIDA, B
GODRECHE, C
YEKUTIELI, I
[J]. PHYSICAL REVIEW A, 1991, 44 (10): : 6241 - 6251
[8] KANG K, 1984, J PHYS A-MATH GEN, V17, pL665, DOI 10.1088/0305-4470/17/12/007
[9] KINETICS OF BIMOLECULAR REACTIONS IN CONDENSED MEDIA - CRITICAL PHENOMENA AND MICROSCOPIC SELF-ORGANISATION
KUZOVKOV, V
KOTOMIN, E
[J]. REPORTS ON PROGRESS IN PHYSICS, 1988, 51 (12) : 1479 - 1523
[10] BINARY REACTION 1+1-]0 IN ONE DIMENSION
LUSHNIKOV, AA
[J]. PHYSICS LETTERS A, 1987, 120 (03) : 135 - 137

← 1 2 →