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

Research output: Contribution to journal › Article › peer-review

48 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

Cite this

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

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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AU - Ismail, Ahmed E.

AU - Stephanopoulos, George

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Y1 - 2003/3/8

N2 - 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.

AB - 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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DO - 10.1063/1.1543582

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IS - 10

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

Abstract

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