FINITE-SIZE-SCALING STUDIES OF ONE-DIMENSIONAL REACTION-DIFFUSION SYSTEMS .2. NUMERICAL-METHODS

被引：17

作者：

KREBS, K ^{[1
]}

PFANNMULLER, MP ^{[1
]}

SIMON, H ^{[1
]}

WEHEFRITZ, B ^{[1
]}

机构：

[1] UNIV HANNOVER,INST THEORET PHYS,D-30167 HANNOVER,GERMANY

来源：

JOURNAL OF STATISTICAL PHYSICS | 1995年 / 78卷 / 5-6期

关键词：

REACTION-DIFFUSION SYSTEMS; FINITE-SIZE SCALING; MONTE CARLO SIMULATIONS; NONEQUILIBRIUM STATISTICAL MECHANICS; COAGULATION MODEL;

D O I：

10.1007/BF02180139

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The scaling exponent and the scaling function for the 1D single-species coagulation model (A + A --> A) are shown to be universal, i.e., they are not influenced by the value of the coagulation rate. They are independent of the initial conditions as well. Two different numerical methods are used to compute the scaling properties of the concentration: Monte Carlo simulations and extrapolations of exact finite-lattice data. These methods are tested in a case where analytical results are available. To obtain reliable results from finite-size extrapolations, numerical data for lattices up to ten sites are sufficient.

引用

页码：1471 / 1491

页数：21

共 21 条

[11] EXCITON REACTIONS IN ULTRATHIN MOLECULAR WIRES, FILAMENTS AND PORES - A CASE-STUDY OF KINETICS AND SELF-ORDERING IN LOW DIMENSIONS
KOPELMAN, R
PARUS, SJ
PRASAD, J
[J]. CHEMICAL PHYSICS, 1988, 128 (01) : 209 - 217
[12] ONE-DIMENSIONAL EXCITON FUSION KINETICS IN DILUTE POLYMER BLENDS
KOPELMAN, R
LI, CS
SHI, ZY
[J]. JOURNAL OF LUMINESCENCE, 1990, 45 (1-6) : 40 - 42
[13] RATE-PROCESSES ON FRACTALS - THEORY, SIMULATIONS, AND EXPERIMENTS
KOPELMAN, R
[J]. JOURNAL OF STATISTICAL PHYSICS, 1986, 42 (1-2) : 185 - 200
[14] KREBS K, 1994, J STAT PHYS, V78, P1429
[15] DIFFUSION-LIMITED EXCITON FUSION REACTION IN ONE-DIMENSIONAL TETRAMETHYLAMMONIUM MANGANESE TRICHLORIDE (TMMC)
KROON, R
FLEURENT, H
SPRIK, R
[J]. PHYSICAL REVIEW E, 1993, 47 (04) : 2462 - 2472
[16] CROSSOVER FROM RATE-EQUATION TO DIFFUSION-CONTROLLED KINETICS IN 2-PARTICLE COAGULATION
PRIVMAN, V
DOERING, CR
FRISCH, HL
[J]. PHYSICAL REVIEW E, 1993, 48 (02): : 846 - 851
[17] FAST-DIFFUSION MEAN-FIELD THEORY FOR K-BODY REACTIONS IN ONE DIMENSION
PRIVMAN, V
GRYNBERG, MD
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (24): : 6567 - 6575
[18] REACTION ORDER VERSUS REACTION PROBABILITY FOR BIMOLECULAR STEADY-STATE REACTIONS - A+A-]A AND A+A-]0 IN ONE DIMENSION
SHI, ZY
KOPELMAN, R
[J]. CHEMICAL PHYSICS, 1992, 167 (1-2) : 149 - 155
[19] STATISTICAL PROPERTIES OF NEAREST-NEIGHBOR DISTANCES AT AN IMPERFECT TRAP
TAITELBAUM, H
KOPELMAN, R
WEISS, GH
HAVLIN, S
[J]. PHYSICAL REVIEW A, 1990, 41 (06): : 3116 - 3120
[20] EFFECTS OF HARD-CORE INTERACTION ON NEAREST NEIGHBOR DISTANCES AT A SINGLE TRAP FOR RANDOM-WALKS AND FOR DIFFUSION-PROCESSES
TAITELBAUM, H
HAVLIN, S
WEISS, GH
[J]. CHEMICAL PHYSICS, 1990, 146 (03) : 351 - 354

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