Results 111 to 120 of about 42,717 (170)

Computation of virial coefficients from integral equations

The Journal of Chemical Physics, 2015
A polynomial-time method of computing the virial coefficients from an integral equation framework is presented. The method computes the truncated density expansions of the correlation functions by series transformations, and then extracts the virial coefficients from the density components.
Cheng Zhang   +2 more
openaire   +2 more sources

Application of the osmotic virial equation in cryobiology

Cryobiology, 2010
The multisolute osmotic virial equation is the only multisolute thermodynamic solution theory that has been derived from first principles and can make predictions of multisolute solution behaviour in the absence of multisolute solution data. Other solution theories either (i) include simplifying assumptions that do not take into account the ...
Elliott, J. A.   +2 more
openaire   +3 more sources

Virial coefficients from equation of state

Journal of Molecular Liquids, 2003
Abstract This paper presents the theoretical prediction of second, third and fourth virial coefficients of linear hard chain molecules employing equations of state. The equations of state are determined through statistical associating fluid theory (SAFT).
Vivek Kumar Singh, K.N. Khanna
openaire   +1 more source

Modified Virial Expansion and the Equation of State

Russian Journal of Mathematical Physics, 2021
We propose a new method for constructing the virial series, in which the expansion in terms of the density is carried out along the line of the unit compressibility factor. This approach greatly simplifies the form of high-order virial coefficients and allows us, by extrapolation, to sum up the entire virial series and obtain the corresponding equation
E. M. Apfelbaum, V. S. Vorob’ev
openaire   +1 more source

A generalized quantum virial equation

Journal of Physics A: Mathematical and General, 1977
A method, similar to the one previously used by the author in his derivation of a generalized classical virial theorem (see ibid., vol.10, no.4, p.507 (1977)), is used to derive a generalized quantum virial equation. This equation is applicable to any part of a larger system of particles.
openaire   +1 more source

Virial equation of state of nonpolar gases

Journal of engineering physics, 1984
An equation of state is studied in which the second and third virial coefficients are calculated theoretically and an empirical expression is used for the fourth virial coefficient. It is shown that this equation of state describes the experimental data on the compressibility of nonpolar gases for T ⩾ 0.7TB and ρ⩽ 0.8pcr.
N. A. Zykov   +2 more
openaire   +1 more source

Tensor Virial Equations

Physical Review, 1954
The tensor virial equations for an aggregate of particles are developed. They are tensor equations of second rank, and on contraction yield the familiar virial equation. To illustrate their application, the diffusion of molecules through a gas is considered and a kinetic derivation of the Navier-Stokes equations is worked out.
openaire   +1 more source

Truncation errors associated with the virial equation

Fluid Phase Equilibria, 1977
Abstract The virial equation is useful and frequently applied because of its precise foundation in statistical mechanics. Unfortunately, the equation is an infinite series which requires truncation for practical applications. This paper contains generalized plots suggesting optimal truncation of the virial equation and other generalized plots which ...
Sum-Muk Lee   +2 more
openaire   +1 more source

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