This article is cited 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.

MSC: 82C27; 82B20

Received: September 28, 2009; in final form April 30, 2010; Published online May 12, 2010

Language: English

DOI: 10.3842/SIGMA.2010.039

Bibliographic databases:

• 
• 
• 

ArXiv: 1005.1988