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Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring
Інший ID:
2010 Mathematics Subject Classification: 82C27; 82B20
DOI:10.3842/SIGMA.2010.039
DOI:10.3842/SIGMA.2010.039
Посилання:
Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring / B. Wehefritz-Kaufmann // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 38 назв. — англ.
Підтримка:
This paper is a contribution to the Proceedings of the XVIIIth International Colloquium on Integrable Systems and Quantum Symmetries (June 18–20, 2009, Prague, Czech Republic). The full collection is available at http://www.emis.de/journals/SIGMA/ISQS2009.html.
We would like to thank V. Rittenberg for his continued interest and invaluable discussions and F.C. Alcaraz for sharing his manuscript about the Bethe ansatz with us. We would also like to acknowledge support from the Purdue Research Foundation.
Дата:
2010
Переглядів:
418
Завантажень:
222
Анотація:
We present a study of the two species totally asymmetric diffusion model using the Bethe ansatz. The Hamiltonian has Uq(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.
