The equation of state of dense systems

Abstract

This report opens with a brief statement of our experimental knowledge of the equation of state of dense fluids and with an account of those parts of statistical mechanics that relate this knowledge to the intermolecular potential. The main part of the report falls into two sections. T h e first is a review of the progress made in the last ten years in the direct calculation of the properties of systems with model intermolecular potentials. T h e second is a review of recent approximations by which the statistical equations can be solved, and a comparison of these solutions with the direct calculations for model systems and with the properties of real systems. Most emphasis is placed upon the hyper-netted chain approximation and on the Percus-Yevick approximation. The prospects of improving upon these solutions are reviewed in the final section.

Structural properties of dusty plasma in direct current and radio frequency gas discharges

“…At uniform background plasma the excesses of the interaction energy and pressure can be found as 31,32 …”

Guidelines for publication of equations of state I. Pure fluids (Technical Report)

“…His considerations were extended by Angus [S] and Rowlinson [6]. De Reuck [7] has discussed the usefulness of these characteristic curves for extrapolating equations of state.…”

A branch-point approximant for the equation of state of hard spheres

“…3 Analytical expressions for B 3 and B 4 are also available in literature [4][5][6][7][8][9][10][11][12][13][14] but higher virial coefficients must be computed numerically and, since this represents a non trivial task, up to now only values up to the tenth virial coefficient have been reported. [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34] The virial expansion for d-dimensional HS systems is often expressed in terms of the packing fraction defined as = v d d . Hence, for these systems the compressibility factor Z ϵ p / k B T ͑with k B the Boltzmann constant͒ is given by…”