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Coarse-graining schemes for stochastic lattice systems with short and long-range interactions
journal contribution
posted on 2023-06-08, 17:24 authored by Markos A Katsoulakis, Petr Plechác, Luc Rey-Bellet, Dimitrios K TsagkarogiannisWe develop coarse-graining schemes for stochastic many-particle microscopic models with competing short- and long-range interactions on a -dimensional lattice. We focus on the coarse-graining of equilibrium Gibbs states, and by 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 by a posteriori error estimates for lattice systems with short- and long-range interactions
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Publication status
- Published
Journal
Mathematics of ComputationISSN
0025-5718Publisher
American Mathematical SocietyExternal DOI
Issue
288Volume
83Page range
1757-1793Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
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2014-06-24Usage metrics
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