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

doi:10.1063/1.1543582

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

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46 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 language	English (US)
Pages (from-to)	4424-4431
Number of pages	8
Journal	Journal of Chemical Physics
Volume	118
Issue number	10
DOIs	https://doi.org/10.1063/1.1543582
State	Published - Mar 8 2003
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1063/1.1543582

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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.",

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

Abstract

ASJC Scopus subject areas

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