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

被引：6

作者：

Wehefritz-Kaufmann, Birgit ^{[1
]}

机构：

[1] Purdue Univ, Dept Math & Phys, W Lafayette, IN 47906 USA

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2010年 / 6卷

基金：

美国国家科学基金会;

关键词：

asymmetric diffusion; nested U(q)(SU(3)) Bethe ansatz; dynamical critical exponent; SIMPLE EXCLUSION PROCESS; SPONTANEOUS SYMMETRY-BREAKING; CURRENT FLUCTUATIONS; STATIONARY MEASURE; QUANTUM CHAINS; STEADY-STATE; MODEL; SYSTEM; SHOCKS; REPRESENTATION;

D O I：

10.3842/SIGMA.2010.039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：15

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