Coexistence curves for fourth-neighbor Ising models on the face-centered-cubic lattice

R. A. Farrell, S. Favin, J. T. Sullivan, S. Vimolvanich, Paul H E Meijer

Research output: Contribution to journalArticle

Abstract

In this paper we investigate the influence of the range of the potential on the phase diagram for higher-neighbor Ising systems on the face-centered-cubic lattice. The density weight factors and lattice constants needed to evaluate the diagrams that contribute to the first six terms in the high-temperature expansion at arbitrary density are obtained. The resulting expression for the free energy is in the form of a series in the density and the four coupling constants J1, J2, J3, and J4 describing the potential energy as a function of interatomic distance. Differentiation of this expression with respect to density yields a series for the chemical potential. The phase diagram is obtained by straightforward analysis of this series. The results show that the coexistence curve depends on the effective number of nearest neighbors but is insensitive to the shape of the potential.

Original languageEnglish (US)
Pages (from-to)4703-4710
Number of pages8
JournalPhysical Review B
Volume19
Issue number9
DOIs
StatePublished - 1979

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face centered cubic lattices
Ising model
Phase diagrams
Chemical potential
curves
Potential energy
Crystal lattices
Free energy
Lattice constants
phase diagrams
weight (mass)
potential energy
free energy
diagrams
Temperature
expansion

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Farrell, R. A., Favin, S., Sullivan, J. T., Vimolvanich, S., & Meijer, P. H. E. (1979). Coexistence curves for fourth-neighbor Ising models on the face-centered-cubic lattice. Physical Review B, 19(9), 4703-4710. https://doi.org/10.1103/PhysRevB.19.4703

Coexistence curves for fourth-neighbor Ising models on the face-centered-cubic lattice. / Farrell, R. A.; Favin, S.; Sullivan, J. T.; Vimolvanich, S.; Meijer, Paul H E.

In: Physical Review B, Vol. 19, No. 9, 1979, p. 4703-4710.

Research output: Contribution to journalArticle

Farrell, RA, Favin, S, Sullivan, JT, Vimolvanich, S & Meijer, PHE 1979, 'Coexistence curves for fourth-neighbor Ising models on the face-centered-cubic lattice', Physical Review B, vol. 19, no. 9, pp. 4703-4710. https://doi.org/10.1103/PhysRevB.19.4703
Farrell, R. A. ; Favin, S. ; Sullivan, J. T. ; Vimolvanich, S. ; Meijer, Paul H E. / Coexistence curves for fourth-neighbor Ising models on the face-centered-cubic lattice. In: Physical Review B. 1979 ; Vol. 19, No. 9. pp. 4703-4710.
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