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评“广义排除过程:输运系数”。

Comment on "Generalized exclusion processes: Transport coefficients".

机构信息

Hasselt University, B-3590 Diepenbeek, Belgium.

Departement Fysica, Universiteit Antwerpen, Groenenborgerlaan 171, B-2020 Antwerpen, Belgium.

出版信息

Phys Rev E. 2016 Apr;93(4.2):046101. doi: 10.1103/PhysRevE.93.046101. Epub 2016 Apr 25.

Abstract

In a recent paper, Arita et al. [Phys. Rev. E 90, 052108 (2014)PLEEE81539-375510.1103/PhysRevE.90.052108] consider the transport properties of a class of generalized exclusion processes. Analytical expressions for the transport-diffusion coefficient are derived by ignoring correlations. It is claimed that these expressions become exact in the hydrodynamic limit. In this Comment, we point out that (i) the influence of correlations upon the diffusion does not vanish in the hydrodynamic limit, and (ii) the expressions for the self- and transport diffusion derived by Arita et al. are special cases of results derived in Becker et al. [Phys. Rev. Lett. 111, 110601 (2013)PRLTAO0031-900710.1103/PhysRevLett.111.110601].

摘要

在最近的一篇论文中,Arita 等人 [Phys. Rev. E 90, 052108 (2014)PLEEE81539-375510.1103/PhysRevE.90.052108] 研究了一类广义排斥过程的输运性质。通过忽略相关性,推导出了输运-扩散系数的解析表达式。他们声称这些表达式在流体力学极限下是精确的。在这篇评论中,我们指出 (i) 相关性对扩散的影响在流体力学极限下不会消失,(ii) Arita 等人推导的自扩散和输运扩散的表达式是 Becker 等人推导的结果的特例 [Phys. Rev. Lett. 111, 110601 (2013)PRLTAO0031-900710.1103/PhysRevLett.111.110601]。

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