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

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dc.creatorNachtergaele, Bruno
dc.creatorSpitzer, Wolfgang L
dc.creatorStarr, Shannon
dc.date2002-10-08
dc.date2002-11-23
dc.date.accessioned2026-07-07T04:29:29Z
dc.date.available2026-07-07T04:29:29Z
dc.descriptionWe 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.
dc.description20 pages, 2 figures, uses conm-p-l.cls. 1 reference added
dc.identifierhttps://arxiv.org/abs/math-ph/0210017
dc.identifierhttp://arxiv.org/abs/math-ph/0210017
dc.identifierin 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
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57172
dc.subjectMathematical Physics
dc.subject82C10; 82C24
dc.titleOn the dynamics of interfaces in the ferromagnetic XXZ chain under weak perturbations
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