Statistical Mechanics of One-Dimensional Systems. I: Phase Transition of a van der Waals Gas
Open Access
- 1 May 1981
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 65 (5) , 1542-1564
- https://doi.org/10.1143/ptp.65.1542
Abstract
The model of one-dimensional gas is proposed in which the particles have hard cores and pair potentials -2a/L, a(>0) being constant and L the length of the gas. The partition function unstable portion of the isotherm. The grand partition function and the isothermal-isobaric partition function for this model are exactly obtained and a phase transition is deduced. Comparison of this model with the Husimi-Temperley model of a lattice system is made. The first five (volume-dependent) cluster integrals for this model are calculated.Keywords
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