The hydrodynamic limit for local mean-field dynamics with unbounded spins
Probability
2018-07-04 v2 Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.1805.00641,
title = {The hydrodynamic limit for local mean-field dynamics with unbounded spins},
author = {Anton Bovier and Dmitry Ioffe and Patrick Müller},
journal= {arXiv preprint arXiv:1805.00641},
year = {2018}
}
Comments
22 pages, several typos corrected