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

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

2010-05-12

arxiv.org/abs/1005.1988v1

SIGMA 6 (2010), 039, 15 pages

Physics

Mathematical Physics

Scientific paper

10.3842/SIGMA.2010.039

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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