On the dynamics of interfaces in the ferromagnetic XXZ chain under weak perturbations

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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.
20 pages, 2 figures, uses conm-p-l.cls. 1 reference added

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Mathematical Physics, 82C10; 82C24

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http://salesiana.dossiersoluciones.com/handle/123456789/57172

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0210017
 http://arxiv.org/abs/math-ph/0210017
 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

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arXiv