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arxiv: 1011.4588 · v1 · pith:C63G6A46new · submitted 2010-11-20 · ❄️ cond-mat.stat-mech · math-ph· math.MP

Current moments of 1D ASEP by duality

classification ❄️ cond-mat.stat-mech math-phmath.MP
keywords asepdualitymomentsasymmetricconsidercurrentcurrentsequal
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We consider the exponential moments of integrated currents of 1D asymmetric simple exclusion process using the duality found by Sch\"utz. For the ASEP on the infinite lattice we show that the $n$th moment is reduced to the problem of the ASEP with less than or equal to $n$ particles.

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