The Hydrodynamic Limit for Local Mean-Field Dynamics with Unbounded Spins |
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| Authors: | Anton Bovier Dmitry Ioffe Patrick Müller |
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| Affiliation: | 1.Institut für Angewandte Mathematik,Rheinische Friedrich-Wilhelms-Universit?t,Bonn,Germany;2.William Davidson Faculty of Industrial Engineering and Management, Technion,Haifa,Israel;3.Boston Consulting Group,Cologne,Germany |
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| Abstract: | We consider the dynamics of a class of spin systems with unbounded spins interacting with local mean-field interactions. We prove convergence of the empirical measure to the solution of a McKean–Vlasov equation in the hydrodynamic limit and propagation of chaos. This extends earlier results of Gärtner, Comets and others for bounded spins or strict mean-field interactions. |
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