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.

Cluster approximations for the TASEP: stationary state and dynamical transition / Pelizzola, Alessandro; Pretti, Marco. - In: THE EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER PHYSICS. - ISSN 1434-6028. - ELETTRONICO. - 90:10(2017), pp. 1-8. [10.1140/epjb/e2017-80248-7]

Cluster approximations for the TASEP: stationary state and dynamical transition

PELIZZOLA, ALESSANDRO;PRETTI, MARCO
2017

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2685012
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