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Nonstationary probabilities and time correlation functions for an asymmetric exclusion process

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Abstract

We give the complete solution of the master equation for a system of interacting particles with finite density. We obtain the solution using a new form of the Bethe ansatz for an asymmetric simple exclusion process on the ring. We first find the one-point time correlation function for the discrete version of the process.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

    M. V. Makhanova & V. B. Priezzhev

Authors
  1. M. V. Makhanova
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  2. V. B. Priezzhev
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 146, No. 3, pp. 499–508, March, 2006.

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Makhanova, M.V., Priezzhev, V.B. Nonstationary probabilities and time correlation functions for an asymmetric exclusion process. Theor Math Phys 146, 421–429 (2006). https://doi.org/10.1007/s11232-006-0050-4

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  • DOI: https://doi.org/10.1007/s11232-006-0050-4

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