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This article is cited in 7 scientific papers (total in 7 papers)
Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring
Birgit Wehefritz-Kaufmann Department of Mathematics and Physics, Purdue University, 150 N. University Street, West Lafayette, IN 47906, USA
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 $\frac32$ which is the exponent corresponding to KPZ growth in the single species asymmetric diffusion model.
Keywords:
asymmetric diffusion; nested $U_q(SU(3))$ Bethe ansatz; dynamical critical exponent.
Received: September 28, 2009; in final form April 30, 2010; Published online May 12, 2010
Citation:
Birgit Wehefritz-Kaufmann, “Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring”, SIGMA, 6 (2010), 039, 15 pp.
Linking options:
https://www.mathnet.ru/eng/sigma496 https://www.mathnet.ru/eng/sigma/v6/p39
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Abstract page: | 226 | Full-text PDF : | 50 | References: | 31 |
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