On the dynamics of interfaces in the ferromagnetic XXZ chain under weak perturbations
in Y. Karpeshina, G. Stolz, R, Weikard, and Y. Zeng (Eds), {\it Advances in Differential Equations and Mathematical Physics}, Contempary Mathematics vol. 327, American Mathematical Society, 2003, pp 251--270 We study the time evolution of interfaces of the ferromagnetic XXZ chain in a magnetic field...
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Zusammenfassung: | in Y. Karpeshina, G. Stolz, R, Weikard, and Y. Zeng (Eds), {\it
Advances in Differential Equations and Mathematical Physics}, Contempary
Mathematics vol. 327, American Mathematical Society, 2003, pp 251--270 We study the time evolution of interfaces of the ferromagnetic XXZ chain in a
magnetic field. A scaling limit is introduced where the strength of the
magnetic field tends to zero and the microscopic time to infinity while keeping
their product constant. The leading term and its first correction are
determined and further analyzed in more detail for the case of a uniform
magnetic field. |
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DOI: | 10.48550/arxiv.math-ph/0210017 |