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arXiv · 1805.00641

The hydrodynamic limit for local mean-field dynamics with unbounded spins

Anton Bovier·Dmitry Ioffe·Patrick Müller
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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 proof 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 G\"artner, Comets and others for bounded spins or strict mean field interactions.

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Anton Bovier, Dmitry Ioffe, Patrick Müller. 2018-05-02. The hydrodynamic limit for local mean-field dynamics with unbounded spins. https://doi.org/10.1007/s10955-018-2069-y

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