Dynamics of interacting particle systems:: stochastic process and field theory

被引:40
|
作者
Lefevre, Alexandre [1 ]
Biroli, Giulio [1 ]
机构
[1] CEA Saclay, Serv Phys Theor, F-91191 Gif Sur Yvette, France
来源
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2007年
关键词
driven diffusive systems (theory); stochastic particle dynamics (theory); large deviations in non-equilibrium systems;
D O I
10.1088/1742-5468/2007/07/P07024
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We present an approach to the dynamics of interacting particle systems, which allows us to derive path integral formulae from purely stochastic considerations. We show that the resulting. field theory is a dual version of the standard theory of Doi and Peliti. This clarifies both the origin of the Cole Hopf map between the two approaches and the occurrence of imaginary noises in effective Langevin equations for reaction-diffusion systems. The advantage of our approach is that it focuses directly on the density field. We show some applications, in particular on the zero range process, hydrodynamic limits and large deviation functional.
引用
收藏
页数:24
相关论文
共 50 条