Cluster approximations for the TASEP: stationary state and dynamical transition

A. Pelizzola () and M. Pretti
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A. Pelizzola: Dipartimento di Scienza Applicata e Tecnologia and CNISM
M. Pretti: Dipartimento di Scienza Applicata e Tecnologia and CNISM

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 10, 1-8

Abstract: 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.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/e2017-80248-7

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