Virial expansion coefficients in the harmonic approximation

J. R. Armstrong, N. T. Zinner, D. V. Fedorov, A. S. Jensen

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

The virial expansion method is applied within a harmonic approximation to an interacting N-body system of identical fermions. We compute the canonical partition functions for two and three particles to get the two lowest orders in the expansion. The energy spectrum is carefully interpolated to reproduce ground-state properties at low temperature and the noninteracting high-temperature limit of constant virial coefficients. This resembles the smearing of shell effects in finite systems with increasing temperature. Numerical results are discussed for the second and third virial coefficients as functions of dimension, temperature, interaction, and transition temperature between low- and high-energy limits.

Original languageEnglish (US)
Article number021115
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume86
Issue number2
DOIs
StatePublished - Aug 15 2012

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Harmonic
harmonics
expansion
Coefficient
coefficients
Approximation
approximation
virial coefficients
Energy Spectrum
Partition Function
Fermions
Ground State
temperature
High Energy
Lowest
Shell
Numerical Results
partitions
Energy
Interaction

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Virial expansion coefficients in the harmonic approximation. / Armstrong, J. R.; Zinner, N. T.; Fedorov, D. V.; Jensen, A. S.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 86, No. 2, 021115, 15.08.2012.

Research output: Contribution to journalArticle

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