Coarse-grained stochastic processes for microscopic lattice systems

Markos A. Katsoulakis, Andrew J. Majda, Dionisios G. Vlachos

Research output: Contribution to journalArticle

Abstract

Diverse scientific disciplines ranging from materials science to catalysis to biomolecular dynamics to climate modeling involve nonlinear interactions across a large range of physically significant length scales. Here a class of coarse-grained stochastic processes and corresponding Monte Carlo simulation methods, describing computationally feasible mesoscopic length scales, are derived directly from microscopic lattice systems. It is demonstrated below that the coarse-grained stochastic models can capture large-scale structures while retaining significant microscopic information. The requirement of detailed balance is used as a systematic design principle to guarantee correct noise fluctuations for the coarse-grained model. The coarse-grained stochastic algorithms provide large computational savings without increasing programming complexity or computer time per executive event compared to microscopic Monte Carlo simulations.

Original languageEnglish (US)
Pages (from-to)782-787
Number of pages6
JournalProceedings of the National Academy of Sciences of the United States of America
Volume100
Issue number3
DOIs
StatePublished - Feb 4 2003

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Stochastic Processes
Monte Carlo Method
Catalysis
Climate
Noise

ASJC Scopus subject areas

  • General
  • Genetics

Cite this

Coarse-grained stochastic processes for microscopic lattice systems. / Katsoulakis, Markos A.; Majda, Andrew J.; Vlachos, Dionisios G.

In: Proceedings of the National Academy of Sciences of the United States of America, Vol. 100, No. 3, 04.02.2003, p. 782-787.

Research output: Contribution to journalArticle

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