Coarse-graining schemes for stochastic lattice systems with short and long-range interactions

Katsoulakis, Markos A, Plecháč, Petr, Rey-Bellet, Luc and Tsagkarogiannis, Dimitrios K (2014) Coarse-graining schemes for stochastic lattice systems with short and long-range interactions. Mathematics of Computation, 83 (288). pp. 1757-1793. ISSN 0025-5718

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Abstract

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

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0297 Numerical analysis
Depositing User: Dimitrios Tsagkarogiannis
Date Deposited: 24 Jun 2014 06:44
Last Modified: 06 Nov 2014 10:44
URI: http://sro.sussex.ac.uk/id/eprint/48807
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