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COARSE-GRAINING SCHEMES FOR STOCHASTIC LATTICE SYSTEMS WITH SHORT AND LONG-RANGE INTERACTIONS
Mathematics and Statistics Department Faculty Publication Series
  • MA Katsoulakis, University of Massachusetts - Amherst
  • P Plechac
  • L Rey-Bellet, University of Massachusetts - Amherst
  • D Tsagkarogiannis
Publication Date
2010
Comments

This is the pre-published version harvested from ArXiv.

Abstract

We develop coarse-graining schemes for stochastic many-particle microscopic models with competing short- and 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 schemes that are accompanied with a posteriori error estimates for coarse-grained lattice systems with short and long-range interactions.

Citation Information
MA Katsoulakis, P Plechac, L Rey-Bellet and D Tsagkarogiannis. "COARSE-GRAINING SCHEMES FOR STOCHASTIC LATTICE SYSTEMS WITH SHORT AND LONG-RANGE INTERACTIONS" (2010)
Available at: http://works.bepress.com/luc_rey_bellet/7/