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    • Non-stationary probabilities for the asymmetric exclusion process on a ring

      V B Priezzhev

      Volume 64 Issue 6 June 2005 pp 915-925

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/064/06/0915-0925

    • Keywords

       

      Asymmetric exclusion process; Bethe ansatz

    • Abstract

       

      A solution of the master equation for a system of interacting particles for finite time and particle density is presented. By using a new form of the Bethe ansatz, the totally asymmetric exclusion process on a ring is solved for arbitrary initial conditions and time intervals.

    • Author Affiliations

       

      V B Priezzhev1

      1. Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna - 141980, Russia

    • Dates

       
      Published
      June 2005

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