Limiting Dynamics for Spherical Models of Spin Glasses with Magnetic Field

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dc.creatorZamfir, Pompiliu Manuel
dc.date2008-06-21
dc.date.accessioned2026-07-07T09:46:03Z
dc.date.available2026-07-07T09:46:03Z
dc.descriptionWe study the Langevin dynamics for the family of spherical spin glass models of statistical physics, in the presence of a magnetic field. We prove that in the limit of system size N approaching infinity, the empirical state correlation, the response function, the overlap and the magnetization for these N-dimensional coupled diffusions converge to the non-random unique strong solution of four explicit non-linear integro-differential equations, that generalize the system proposed by Cugliandolo and Kurchan in the presence of a magnetic field. We then analyze the system and provide a rigorous derivation of the FDT regime in a large area of the temperature-magnetization plane.
dc.identifierhttps://arxiv.org/abs/0806.3519
dc.identifierhttp://arxiv.org/abs/0806.3519
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163400
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject82C44; 82C31; 60H10; 60F15; 60K35
dc.titleLimiting Dynamics for Spherical Models of Spin Glasses with Magnetic Field
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