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

DOI10.1090/S0025-5718-2014-02806-8zbMath1298.82010arXiv1003.1506OpenAlexW2053354526WikidataQ57453410 ScholiaQ57453410MaRDI QIDQ5418488

Luc Rey-Bellet, Petr Plecháč, Markos A. Katsoulakis, Dimitrios K. Tsagkarogiannis

Publication date: 4 June 2014

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1506

zbMATH Keywords

Monte Carlo methodGibbs measurecluster expansioncoarse-graininglattice spin systemsmulti-body interactionsrenormalization group mapsub-grid scale modeling

Mathematics Subject Classification ID

Related Items (5)

Path-space variational inference for non-equilibrium coarse-grained systems ⋮ Numerical and statistical methods for the coarse-graining of many-particle stochastic systems ⋮ Coarse-graining schemes anda posteriorierror estimates for stochastic lattice systems ⋮ Multilevel coarse graining and nano-pattern discovery in many particle stochastic systems ⋮ Mathematical strategies in the coarse-graining of extensive systems: error quantification and adaptivity

Uses Software

• AdResS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical and statistical methods for the coarse-graining of many-particle stochastic systems
• Mathematical strategies in the coarse-graining of extensive systems: error quantification and adaptivity
• A simple inductive approach to the problem of convergence of cluster expansions of polymer models
• Completely analytical interactions: Constructive description
• Coarse-grained stochastic processes and Monte Carlo simulations in lattice systems.
• On a cluster expansion for lattice spin systems: a finite-size condition for the convergence.
• Cluster expansion for \(d\)-dimensional lattice systems and finite-volume factorization properties.
• Renormalization-group transformations under strong mixing conditions: Gibbsianness and convergence of renormalized interactions
• Information loss in coarse-graining of stochastic particle dynamics
• From Mesoscale Back to Microscale: Reconstruction Schemes for Coarse-Grained Stochastic Lattice Systems
• Fractional dimensions of phase space variables: a tool for varying the degrees of freedom of a system in a multiscale treatment
• Coarse-graining schemes anda posteriorierror estimates for stochastic lattice systems
• Multibody Interactions in Coarse-Graining Schemes for Extended Systems
• On the a posteriori error analysis for equations of prescribed mean curvature
• A Posteriori Error Analysis for the Mean Curvature Flow of Graphs
• A lattice kinetic Monte Carlo study of void morphological evolution during silicon crystal growth
• Error Analysis of Coarse‐Graining for Stochastic Lattice Dynamics

This page was built for publication: Coarse-graining schemes for stochastic lattice systems with short and long-range interactions