4.4 Article

Current Moments of 1D ASEP by Duality

Journal

JOURNAL OF STATISTICAL PHYSICS
Volume 142, Issue 5, Pages 919-930

Publisher

SPRINGER
DOI: 10.1007/s10955-011-0149-3

Keywords

Asymmetric exclusion process; Bethe ansatz; Duality

Funding

  1. KAKENHI [22740251, 22740054]
  2. Grants-in-Aid for Scientific Research [22740054, 22740251] Funding Source: KAKEN

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We consider the exponential moments of integrated currents of 1D asymmetric simple exclusion process using the duality found by Schutz. 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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