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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 Tsagkarogiannis
We 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

History

Publication status

  • Published

Journal

Mathematics of Computation

ISSN

0025-5718

Publisher

American Mathematical Society

Issue

288

Volume

83

Page range

1757-1793

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2014-06-24

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