Dynamical moderate deviations for the Curie-Weiss model
  We derive moderate deviation principles for the trajectory of the empirical magnetization of the standard Curie-Weiss model via a general analytic approach based on convergence of generators and uniqueness of viscosity solutions for associated Hamilton-Jacobi equations. The moderate asymptotics depend crucially on the phase under consideration. 
Francesca Collet, Richard Kraaij
math.PR