Diffusive Scaling Limits of Mutually Interacting Particle Systems

We prove the diffusive scaling limits of some interacting particle systems in random dynamical environments. The limits are identified as nonlinear parabolic systems, with coefficients given by equilibrium variational problems. Three related models are studied that correspond to different environments. All the models are of nongradient type, and one is nonreversible. The proofs involve techniques of entropy production estimates, the nongradient method and asymmetric tools, in particular a proof of the strong sector condition.