Limiting dynamics for spherical models of spin glasses at high temperature
arXiv:math/0609546 · doi:10.1007/s10955-006-9239-z
Abstract
We analyze the coupled non-linear integro-differential equations whose solutions is the thermodynamical limit of the empirical correlation and response functions in the Langevin dynamics for spherical p-spin disordered mean-field models. We provide a mathematically rigorous derivation of their FDT solution (for the high temperature regime) and of certain key properties of this solution, which are in agreement with earlier derivations based on physical grounds.
References in corpus (7)
- Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
- Mode-Coupling Approximations, Glass Theory and Disordered Systems
- Full dynamical solution for a spherical spin-glass model
- Dynamics of glassy systems
- Large times off-equilibrium dynamics of a particle in a random potential
- Aging and spin-glass dynamics
- Cugliandolo-Kurchan equations for dynamics of Spin-Glasses