Path-space moderate deviation principles for the random field Curie-Weiss model

Abstract

We analyze the dynamics of moderate fluctuations for macroscopic observables of the random field Curie Weiss model (i.e., standard Curie-Weiss model embedded in a site dependent, i.i.d. random environment). We obtain path space large deviation principles via a general analytic approach based on convergence of non-linear generators and uniqueness of viscosity solutions for associated Hamilton Jacobi equations. The moderate asymptotics depend crucially on the phase we consider and moreover, the space-time scale range for which fluctuations can be proven is restricted by the addition of the disorder.

References in corpus (2)

• Dynamical moderate deviations for the Curie-Weiss model
• Moderate deviations for random field Curie-Weiss models

Cited by in corpus (2)

• A large deviation principle for Markovian slow-fast systems
• Path-space moderate deviations for a Curie-Weiss model of self-organized criticality