Multiresolution analysis in statistical mechanics. II. The wavelet transform as a basis for Monte Carlo simulations in lattices

Ahmed E. Ismail, George Stephanopoulos, Gregory C. Rutledge

Research output: Contribution to journalArticle

43 Scopus citations

Abstract

The wavelet-accelerated Monte Carlo (WAMC) algorithm is presented, which dramatically reduces the time required to calculate the thermodynamic behavior of a lattice system. The error that results is a function of position in parameter space. Near critical points, deviations from results performed on the original lattice system are the result of coarse-graining the Hamiltonian by eliminating local fluctuation terms.

Original languageEnglish (US)
Pages (from-to)4424-4431
Number of pages8
JournalJournal of Chemical Physics
Volume118
Issue number10
DOIs
StatePublished - Mar 8 2003
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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