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Barré, J.; Bernardin, C.; Chétrite, R.; Chopra, Y.; Mariani, M.
Journal of statistical physics, 09/2020, Letnik: 180, Številka: 1-6Journal Article
We consider extended slow-fast systems of N interacting diffusions. The typical behavior of the empirical density is described by a nonlinear McKean–Vlasov equation depending on ε , the scaling parameter separating the time scale of the slow variable from the time scale of the fast variable. Its atypical behavior is encapsulated in a large N Large Deviation Principle with a rate functional I ε . We study the Γ -convergence of I ε as ε → 0 and show it converges to the rate functional appearing in the Macroscopic Fluctuations Theory for diffusive systems.
