Duality relations for asymmetric exclusion processes
Duality relations for asymmetric exclusion processes
复制标题
不对称排斥过程的对偶关系
DOI：
10.1007/bf02183623
复制
发表时间：
1997
影响因子：
1.6
通讯作者：
G. Schütz
中科院分区：
文献类型：
--
作者：
G. Schütz
本文导出了一类Uq [SU（2）]对称随机过程的对偶关系，其中包括一维非对称排斥过程。与已知的对称跳跃过程的对偶关系一样，这些关系用同一个系统的m个粒子的相关函数之和来表示N粒子系统（N≥m）中确定点的相关函数。对于完全不对称的情况，我们得到了一些边界密度相关函数的精确表达式。这些扩散因子的动力学指数为z =2，这与体积密度相关性的动力学指数不同，体积密度相关性的动力学指数为z =3/2。
We derive duality relations for a class ofUq[SU(2)]-symmetric stochastic processes, including among others the asymmetric exclusion process in one dimension. Like the known duality relations for symmetric hopping processes, these relations express certainm-point correlation functions inN-particle systems (N≥m) in terms of sums of correlation functions of the same system but with onlym particles. For the totally asymmetric case we obtain exact expressions for some boundary density correlation functions. The dynamical exponent for these correlators isz=2, which is different from the dynamical exponent for bulk density correlations, which is known to bez=3/2.