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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 039, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.039 (Mi sigma496) 		 
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
Full-text PDF (299 kB) Citations (7)
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DOI: https://doi.org/10.3842/SIGMA.2010.039
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
Bibliographic databases:
Document Type: Article
MSC: 82C27; 82B20
Language: English
Citation: Birgit Wehefritz-Kaufmann, “Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring”, SIGMA, 6 (2010), 039, 15 pp.
Citation in format AMSBIB
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    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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