  We modify the Glauber dynamics of the Curie-Weiss model with dissipation in
Dai Pra, Fischer, Regoli[2013] by considering arbitrary transition rates and we
analyze the phase-portrait as well as the dynamics of moderate fluctuations for
macroscopic observables. We obtain path-space moderate deviation principles via
a general analytic approach based on the convergence of non-linear generators
and uniqueness of viscosity solutions for associated Hamilton-Jacobi equations.
The moderate asymptotics depend crucially on the phase we are considering and,
moreover, their behavior may be influenced by the choice of the rates.
