Semiclassical statistical mechanics of a two-dimensional fluid

Sinha, S. K. ; Sainger, Y. S. ; Singh, Y. (1982) Semiclassical statistical mechanics of a two-dimensional fluid Journal of Mathematical Physics, 23 (12). pp. 2569-2581. ISSN 0022-2488

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Official URL: http://link.aip.org/link/jmapaq/v23/i12/p2569/s1

Related URL: http://dx.doi.org/10.1063/1.525304

Abstract

Expansions are obtained for the radial distribution function and free energy for a two-dimensional hard-core fluid in the semiclassical limit, using the "modified" Wigner-Kirkwood expansion method. These results are used to obtain expressions for the density-independent part of the radial distribution function and the first-order density correction to it. Quantum corrections to the second and third virial coefficients are discussed in detail. Explicit results are given for the Sutherland, Yukawa-tail, Wood-Saxan, square-well, and Lennard-Jones (12-6) pair potential models.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
Keywords:Fluids; Two-dimensional Systems; Statistical Mechanics; Distribution Functions; Free Energy; Quantum Mechanics; Corrections; Virial Theorem; Lennard-Jones Potential; Woods-Saxon Potential; square-well Potential
ID Code:47998
Deposited On:12 Jul 2011 11:28
Last Modified:12 Jul 2011 11:28

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