The hydrodynamic limit for local mean-field dynamics with unbounded spins
arXiv:1805.00641 · doi:10.1007/s10955-018-2069-y
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 Gärtner, Comets and others for bounded spins or strict mean field interactions.
22 pages, several typos corrected