Decay of the metastable state in a chemical system: Different predictions between discrete and continuous models

被引：29

作者：

Gaveau, B

Moreau, M

Toth, J

机构：

[1] UNIV PARIS 06,PHYS THEOR LIQUIDES LAB,F-75252 PARIS 05,FRANCE

[2] AGR UNIV,DEPT COMP SCI,H-2103 GODOLLO,HUNGARY

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1996年 / 37卷 / 03期

关键词：

master equation; rate constants; Fokker-Planck equation; Percolidis model;

D O I：

10.1007/BF00343192

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show, using a specific example of a chemical reaction, that the rate constants pre dieted from the discrete master equation and its continuum Fokker-Planck approximations differ in exponential order with respect to the size of the system.

引用

页码：285 / 292

页数：8

共 12 条

[1] ABELIAN SANDPILE MODEL ON THE BETHE LATTICE [J].

DHAR, D ;

MAJUMDAR, SN .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (19) :4333-4350

[2]

Erdelyi A., 1956, ASYMPTOTIC EXPANSION

[3]

Gardiner C. W., 1983, HDB STOCHASTIC METHO

[4]

GARDINER CW, 1976, PHYS REP, V24, P171

[5] DYNAMIC METASTABILITY [J].

GAVEAU, B ;

SCHULMAN, LS .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (10) :2865-2873

[6] FINTIE-SIZE SCALING FOR MEAN-FIELD PERCOLATION [J].

GAVEAU, B ;

SCHULMAN, LS .

JOURNAL OF STATISTICAL PHYSICS, 1993, 70 (3-4) :613-634

[7] METASTABLE DECAY-RATES AND ANALYTIC CONTINUATION [J].

GAVEAU, B ;

SCHULMAN, LS .

LETTERS IN MATHEMATICAL PHYSICS, 1989, 18 (03) :201-208

[8]

GAVEAU B, 1994, J STAT PHYS, V74, P307

[9] SCALING AND UNIVERSALITY IN STATISTICAL PHYSICS [J].

KADANOFF, LP .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1990, 163 (01) :1-14

[10] STATISTICAL THEORY OF DECAY OF METASTABLE STATES [J].

LANGER, JS .

ANNALS OF PHYSICS, 1969, 54 (02) :258-&

← 1 2 →