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arXiv · 1005.1988

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

Birgit Wehefritz-Kaufmann
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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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Birgit Wehefritz-Kaufmann. 2010-05-12. Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring. https://doi.org/10.3842/sigma.2010.039

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