Cugliandolo-Kurchan equations for dynamics of Spin-Glasses

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We study the Langevin dynamics for the family of spherical $p$-spin disordered mean-field models and prove that in the limit of system size $N$ approaching infinity, the empirical state correlation and integrated response functions converge almost surely and uniformly in time, to the non-random unique strong solution of a pair of explicit non-linear integro-differential equations introduced by Cugliandolo and Kurchan.
31 pages

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Probability, Statistical Mechanics, Mathematical Physics, 82C44

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http://salesiana.dossiersoluciones.com/handle/123456789/72491

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409273
 http://arxiv.org/abs/math/0409273

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arXiv