Spectral gap of the totally asymmetric exclusion process at arbitrary filling

Details Spectral gap of the totally asymmetric exclusion process at arbitrary filling Spectral gap of the totally asymmetric exclusion process at arbitrary filling

2004-11-19

arxiv.org/abs/cond-mat/0411505v1

J. Phys. A: Math. Gen. 38 (2005) 1419-1425.

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/0305-4470/38/7/001

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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