Cluster expansion of the lattice gas: Determination of the first ten high-temperature coefficients

P. H.E. Meijer; R. A. Farrell; E. E. Sommerfeldt

doi:10.1016/0031-8914(72)90225-X

Cluster expansion of the lattice gas: Determination of the first ten high-temperature coefficients

P. H.E. Meijer, R. A. Farrell, E. E. Sommerfeldt

Whiting School of Engineering

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

2 Scopus citations

Abstract

The coefficients in the high-temperature virial expansion of the Helmholtz free energy of the Ising model are polynomials in the density. A cluster method is used to determine the first ten polynomials. These polynomials have also been obtained by reversing the fugacity series.

Original language	English (US)
Pages (from-to)	114-129
Number of pages	16
Journal	Physica
Volume	60
Issue number	1
DOIs	https://doi.org/10.1016/0031-8914(72)90225-X
State	Published - Jul 1972

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Engineering(all)

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10.1016/0031-8914(72)90225-X

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title = "Cluster expansion of the lattice gas: Determination of the first ten high-temperature coefficients",

abstract = "The coefficients in the high-temperature virial expansion of the Helmholtz free energy of the Ising model are polynomials in the density. A cluster method is used to determine the first ten polynomials. These polynomials have also been obtained by reversing the fugacity series.",

author = "Meijer, {P. H.E.} and Farrell, {R. A.} and Sommerfeldt, {E. E.}",

note = "Funding Information: * This work supported in part by the Air Force AFOSR-66-0445a, and in part by the Department of the Navy, Bureau of Naval Weapons, under Contract NOOO17-62-C-0604.",

year = "1972",

month = jul,

doi = "10.1016/0031-8914(72)90225-X",

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T1 - Cluster expansion of the lattice gas

T2 - Determination of the first ten high-temperature coefficients

AU - Meijer, P. H.E.

AU - Farrell, R. A.

AU - Sommerfeldt, E. E.

N1 - Funding Information: * This work supported in part by the Air Force AFOSR-66-0445a, and in part by the Department of the Navy, Bureau of Naval Weapons, under Contract NOOO17-62-C-0604.

PY - 1972/7

Y1 - 1972/7

N2 - The coefficients in the high-temperature virial expansion of the Helmholtz free energy of the Ising model are polynomials in the density. A cluster method is used to determine the first ten polynomials. These polynomials have also been obtained by reversing the fugacity series.

AB - The coefficients in the high-temperature virial expansion of the Helmholtz free energy of the Ising model are polynomials in the density. A cluster method is used to determine the first ten polynomials. These polynomials have also been obtained by reversing the fugacity series.

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Cluster expansion of the lattice gas: Determination of the first ten high-temperature coefficients

Abstract

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