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Cluster approximations for the TASEP: stationary state and dynamical transition

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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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Authors and Affiliations

  1. Dipartimento di Scienza Applicata e Tecnologia and CNISM, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

    A. Pelizzola & M. Pretti

  2. INFN, Sezione di Torino, via Pietro Giuria 1, 10125, Torino, Italy

    A. Pelizzola

  3. Consiglio Nazionale delle Ricerche-Istituto dei Sistemi Complessi (CNR-ISC), 00185, Roma, Italy

    M. Pretti

Authors
  1. A. Pelizzola
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  2. M. Pretti
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Correspondence to A. Pelizzola.

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Pelizzola, A., Pretti, M. Cluster approximations for the TASEP: stationary state and dynamical transition. Eur. Phys. J. B 90, 183 (2017). https://doi.org/10.1140/epjb/e2017-80248-7

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  • DOI: https://doi.org/10.1140/epjb/e2017-80248-7

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