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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Author: Wehefritz-Kaufmann, B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146319
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring / B. Wehefritz-Kaufmann // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 38 назв. — англ.

We present a study of the two species totally asymmetric diffusion model using the Bethe ansatz. The Hamiltonian has Uq(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...