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Current Moments of 1D ASEP by Duality

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Abstract

We consider the exponential moments of integrated currents of 1D asymmetric simple exclusion process using the duality found by Schütz. For the ASEP on the infinite lattice we show that the nth moment is reduced to the problem of the ASEP with less than or equal to n particles.

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Authors and Affiliations

  1. University of Tokyo, Tokyo, Japan

    Takashi Imamura

  2. Chiba University, Chiba, Japan

    Tomohiro Sasamoto

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  1. Takashi Imamura
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  2. Tomohiro Sasamoto
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Correspondence to Tomohiro Sasamoto.

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Imamura, T., Sasamoto, T. Current Moments of 1D ASEP by Duality. J Stat Phys 142, 919–930 (2011). https://doi.org/10.1007/s10955-011-0149-3

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  • DOI: https://doi.org/10.1007/s10955-011-0149-3

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