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  • 标题:Coarse-grained stochastic processes for microscopic lattice systems
  • 本地全文:下载
  • 作者:Markos A. Katsoulakis ; Andrew J. Majda ; Dionisios G. Vlachos
  • 期刊名称:Proceedings of the National Academy of Sciences
  • 印刷版ISSN:0027-8424
  • 电子版ISSN:1091-6490
  • 出版年度:2003
  • 卷号:100
  • 期号:3
  • 页码:782-787
  • DOI:10.1073/pnas.242741499
  • 语种:English
  • 出版社:The National Academy of Sciences of the United States of America
  • 摘要: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.
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