Coarse-graining schemes for stochastic lattice systems with short and long-range interactions
نویسندگان
چکیده
We develop coarse-graining schemes for stochastic many-particle microscopic models with competing shortand long-range interactions on a d-dimensional lattice. We focus on the coarse-graining of equilibrium Gibbs states and using cluster expansions we analyze the corresponding renormalization group map. We quantify the approximation properties of the coarse-grained terms arising from different types of interactions and present a hierarchy of correction terms. We derive semi-analytical numerical coarse-graining schemes that are accompanied with a posteriori error estimates for lattice systems with short and long-range interactions.
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عنوان ژورنال:
- Math. Comput.
دوره 83 شماره
صفحات -
تاریخ انتشار 2014