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
Full text not available from this repository.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://srodev.sussex.ac.uk/id/eprint/48807 |