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Spectral gap of the totally asymmetric exclusion process at arbitrary filling

O. Golinelli·K. Mallick
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Abstract

We calculate the spectral gap of the Markov matrix of the totally asymmetric simple exclusion process (TASEP) on a ring of L sites with N particles. Our derivation is simple and self-contained and extends a previous calculation that was valid only for half-filling. We use a special property of the Bethe equations for TASEP to reformulate them as a one-body problem. Our method is closely related to the one used to derive exact large deviation functions of the TASEP.

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O. Golinelli, K. Mallick. 2004-11-19. Spectral gap of the totally asymmetric exclusion process at arbitrary filling. https://doi.org/10.1088/0305-4470%2F38%2F7%2F001

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