Multiresolution analysis in statistical mechanics. I. Using wavelets to calculate thermodynamic properties

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

doi:10.1063/1.1543581

Multiresolution analysis in statistical mechanics. I. Using wavelets to calculate thermodynamic properties

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

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

51 Scopus citations

Abstract

Using the wavelet transform as a basis for calculations of lattice systems yielded an impressive reduction in the computational time required to obtain estimates of thermodynamic properties, at the price of modest errors in accuracy. The wavelet transform provided a systematic approach to coarse-grain systems to any level of resolution. The method produced correct results in the vicinity of fixed attractors.

Original language	English (US)
Pages (from-to)	4414-4423
Number of pages	10
Journal	Journal of Chemical Physics
Volume	118
Issue number	10
DOIs	https://doi.org/10.1063/1.1543581
State	Published - Mar 8 2003
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)
Physical and Theoretical Chemistry

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10.1063/1.1543581

Cite this

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abstract = "Using the wavelet transform as a basis for calculations of lattice systems yielded an impressive reduction in the computational time required to obtain estimates of thermodynamic properties, at the price of modest errors in accuracy. The wavelet transform provided a systematic approach to coarse-grain systems to any level of resolution. The method produced correct results in the vicinity of fixed attractors.",

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AB - Using the wavelet transform as a basis for calculations of lattice systems yielded an impressive reduction in the computational time required to obtain estimates of thermodynamic properties, at the price of modest errors in accuracy. The wavelet transform provided a systematic approach to coarse-grain systems to any level of resolution. The method produced correct results in the vicinity of fixed attractors.

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Multiresolution analysis in statistical mechanics. I. Using wavelets to calculate thermodynamic properties

Abstract

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