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Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring
Symmetry, integrability and geometry: methods and applications, Tome 6 (2010) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Birgit Wehefritz-Kaufmann},
     title = {Dynamical {Critical} {Exponent} for {Two-Species} {Totally} {Asymmetric} {Diffusion} on {a~Ring}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a38/}
}
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Birgit Wehefritz-Kaufmann. Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring. Symmetry, integrability and geometry: methods and applications, Tome 6 (2010). http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a38/

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