Spectrum of the totally asymmetric simple exclusion process on a periodic lattice—bulk eigenvalues

DOI10.1088/1751-8113/46/41/415001zbMath1277.82038arXiv1306.2263OpenAlexW2086192876MaRDI QIDQ2861460

Sylvain Prolhac

Publication date: 8 November 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.2263

zbMATH Keywords

Bethe ansatztotally asymmetric simple exclusion processdensity of eigenvaluesperiodic lattice

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical mechanics of crystals (82D25) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Exactly solvable models; Bethe ansatz (82B23) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (4)

Asymptotics for the norm of Bethe eigenstates in the periodic totally asymmetric exclusion process ⋮ Integral formulas of ASEP and \(q\)-TAZRP on a ring ⋮ Solution of the Kolmogorov equation for TASEP ⋮ Current fluctuations and large deviations for periodic TASEP on the relaxation scale

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