Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring

Abstract

We present a study of the two species totally asymmetric diffusion model using the Bethe ansatz. The Hamiltonian has $U_q(SU(3))$ symmetry. We derive the nested Bethe ansatz equations and obtain the dynamical critical exponent from the finite-size scaling properties of the eigenvalue with the smallest real part. The dynamical critical exponent is 3/2 which is the exponent corresponding to KPZ growth in the single species asymmetric diffusion model.

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Cited by in corpus (6)

• Some Exact Results for the Exclusion Process
• On the asymmetric simple exclusion process with multiple species
• Spectrum of the totally asymmetric simple exclusion process on a periodic lattice -- first excited states
• Current fluctuations and large deviations for periodic TASEP on the relaxation scale
• Perturbative solution for the spectral gap of the weakly asymmetric exclusion process
• KPZ fluctuations in finite volume