Aging and spin-glass dynamics

Abstract

We survey the recent mathematical results about aging in certain simple disordered models. We start by the Bouchaud trap model. We then survey the results obtained for simple models of spin-glass dynamics, like the REM (the Random Energy Model, which is well approximated by the Bouchaud model on the complete graph), then the spherical Sherrington-Kirkpatrick model. We will insist on the differences in phenomenology for different types of aging in different time scales and different models. This talk is based on joint works with A.Bovier, J.Cerny, A.Dembo, V.Gayrard, A.Guionnet, as well as works by C.Newman, R.Fontes, M.Isopi, D.Stein.

References in corpus (1)

• Aging in the random energy model

Cited by in corpus (10)

• Strong disorder RG approach of random systems
• Sub-diffusion and localization in the one dimensional trap model
• Dynamics of trap models
• Linear and non linear response in the aging regime of the 1D trap model
• Random walks and polymers in the presence of quenched disorder
• Following the ground-states of full-RSB spherical spin glasses
• Limiting dynamics for spherical models of spin glasses at high temperature
• Limiting Dynamics for Spherical Models of Spin Glasses with Magnetic Field
• Ma-Dasgupta renormalization studies of various disordered systems
• Limit Theorem for sub-ballistic random walks in Dirichlet environment in dimension $d\ge 3$