LARGE DEVIATIONS FOR A REACTION-DIFFUSION MODEL

被引：47

作者：

JONALASINIO, G

LANDIM, C

VARES, ME

机构：

[1] UNIV ROUEN,FAC SCI,LAMS,F-76134 MONT ST AIGNAN,FRANCE

[2] IMPA,BR-22460 RIO JANEIRO,BRAZIL

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1993年 / 97卷 / 03期

关键词：

D O I：

10.1007/BF01195070

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We obtain large deviation estimates for the empirical measure of a class of interacting particle systems. These consist of a superposition of Glauber and Kawasaki dynamics and are described, in the hydrodynamic limit, by a reaction diffusion equation. We extend results of Kipnis, Olla and Varadhan for the symmetric exclusion process, and provide an approximation scheme for the rate functional. Some physical implications of our results are briefly indicated.

引用

收藏

页码：339 / 361

页数：23

相关论文

共 15 条

[1] ASYMPTOTIC EVALUATION OF CERTAIN MARKOV PROCESS EXPECTATIONS FOR LARGE TIME .3. [J].

DONSKER, MD ;

VARADHAN, SRS .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1976, 29 (04) :389-461

[2] NONLINEAR DIFFUSION LIMIT FOR A SYSTEM WITH NEAREST NEIGHBOR INTERACTIONS [J].

GUO, MZ ;

PAPANICOLAOU, GC ;

VARADHAN, SRS .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 118 (01) :31-59

[3]

JONALASINIO G, 1991, ANN I H POINCARE-PHY, V55, P751

[4] HYDRODYNAMICS AND LARGE DEVIATION FOR SIMPLE EXCLUSION PROCESSES [J].

KIPNIS, C ;

OLLA, S ;

VARADHAN, SRS .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1989, 42 (02) :115-137

[5] OCCUPATION TIME LARGE DEVIATIONS FOR THE SYMMETRICAL SIMPLE EXCLUSION PROCESS [J].

LANDIM, C .

ANNALS OF PROBABILITY, 1992, 20 (01) :206-231

[6]

LANDIM C, 1991, ANN I H POINCARE-PHY, V55, P615

[7] FLUCTUATIONS AND IRREVERSIBLE PROCESS .2. SYSTEMS WITH KINETIC ENERGY [J].

MACHLUP, S ;

ONSAGER, L .

PHYSICAL REVIEW, 1953, 91 (06) :1512-1515

[8] A LAW OF LARGE NUMBERS FOR MODERATELY INTERACTING DIFFUSION-PROCESSES [J].

OELSCHLAGER, K .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1985, 69 (02) :279-322

[9] Reciprocal relations in irreversible processes. I. [J].

Onsager, L .

PHYSICAL REVIEW, 1931, 37 (04) :405-426

[10] FLUCTUATIONS AND IRREVERSIBLE PROCESSES [J].

ONSAGER, L ;

MACHLUP, S .

PHYSICAL REVIEW, 1953, 91 (06) :1505-1512