RELATIVE ENTROPY AND HYDRODYNAMICS OF GINZBURG-LANDAU MODELS

被引:203
作者
YAU, HT
机构
[1] Courant Institute of Mathematical Sciences, New York University, New York, 10012, NY
关键词
D O I
10.1007/BF00400379
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We prove the hydrodynamic limit of Ginzburg-Landau models by considering relative entropy and its rate of change with respect to local Gibbs states. This provides a new understanding of the role played by relative entropy in the hydrodynamics of interacting particle systems.
引用
收藏
页码:63 / 80
页数:18
相关论文
共 11 条
[1]  
CHANG CC, 1991, FLUCTUATIONS ONE DIM
[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]  
JOHN F, 1989, PROBL THEORY RELATED, V81, P291
[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]   STATISTICAL-MECHANICS OF SYSTEMS OF UNBOUNDED SPINS [J].
LEBOWITZ, JL ;
PRESUTTI, E .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 50 (03) :195-218
[6]   LARGE DEVIATIONS FOR GIBBS RANDOM-FIELDS [J].
OLLA, S .
PROBABILITY THEORY AND RELATED FIELDS, 1988, 77 (03) :343-357
[7]   SCALING LIMIT FOR INTERACTING ORNSTEIN-UHLENBECK PROCESSES [J].
OLLA, S ;
VARADHAN, SRS .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 135 (02) :355-378
[8]   HYDRODYNAMIC LIMIT FOR A SYSTEM WITH FINITE-RANGE INTERACTIONS [J].
REZAKHANLOU, F .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 129 (03) :445-480
[9]  
REZAKHANLOU F, IN PRESS COMM MATH P
[10]  
SPHON H, IN PRESS LECTUURE NO