Exact Confirmation of 1D Nonlinear Fluctuating Hydrodynamics for a Two-Species Exclusion Process

被引：23
|
作者：
Chen, Zeying [1 ]
de Ger, Jan [1 ]
Hiki, Iori [2 ]
Sasamoto, Tomohiro [2 ]
机构：
[1] Univ Melbourne, ARC Ctr Excellence Math & Stat Frontiers ACEMS, Sch Math & Stat, Melbourne, Vic 3010, Australia
[2] Tokyo Inst Technol, Dept Phys, Ookuyama 2-12-1, Tokyo 1528551, Japan
来源：
PHYSICAL REVIEW LETTERS | 2018年 / 120卷 / 24期
基金：
美国国家科学基金会; 澳大利亚研究理事会;
关键词：
UNIVERSAL FLUCTUATIONS; KPZ EQUATION; DISTRIBUTIONS; CONDENSATION; INTERFACES; DYNAMICS; MODELS; ENERGY; STATES; LIMIT;
D O I：
10.1103/PhysRevLett.120.240601
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider current statistics for a two-species exclusion process of particles hopping in opposite directions on a one-dimensional lattice. We derive an exact formula for the Green's function as well as for a joint current distribution of thc model, and study its long time behavior. For a step-type initial condition, we show that the limiting distribution is a product of the Gaussian and the Gaussian unitary ensemble Tracy-Widom distributions. This is the first analytic confirmation for a multicomponent system of a prediction from the recently proposed nonlinear fluctuating hydrodynamics for one-dimensional systems.
引用
收藏
页数：6
相关论文
共 47 条
12345