Cluster approximations for the TASEP: stationary state and dynamical transition

被引:8
|
作者
Pelizzola, A. [1 ,2 ,3 ]
Pretti, M. [1 ,2 ,4 ]
机构
[1] Politecn Torino, Dipartimento Sci Appl & Tecnol, Corso Duca Abruzzi 24, I-10129 Turin, Italy
[2] Politecn Torino, CNISM, Corso Duca Abruzzi 24, I-10129 Turin, Italy
[3] INFN, Sez Torino, Via Pietro Giuria 1, Turin, Italy
[4] CNR, ISC, I-00185 Rome, Italy
来源
EUROPEAN PHYSICAL JOURNAL B | 2017年 / 90卷 / 10期
关键词
ASYMMETRIC EXCLUSION MODEL; PHASE-TRANSITIONS;
D O I
10.1140/epjb/e2017-80248-7
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We develop and test cluster approximations, which generalize simple mean-field by taking into account more and more local correlations, for the Totally Asymmetric Simple Exclusion Process with open boundaries. We consider in detail the pair and triplet approximations, discussing the improvements with respect to mean field in various steady state properties. Moreover, we analyze the recently discovered dynamical transition, describing how the spectrum of the relaxation matrix changes at the transition.
引用
收藏
页数:8
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