Limiting dynamics for spherical models of spin glasses at high temperature

Details Limiting dynamics for spherical models of spin glasses at high temperature Limiting dynamics for spherical models of spin glasses at high temperature

2006-09-20

arxiv.org/abs/math/0609546v1

Mathematics

Probability

Scientific paper

10.1007/s10955-006-9239-z

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.

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