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A Multisolute Osmotic Virial Equation for Solutions of Interest in Biology
The Journal of Physical Chemistry B, 2007The osmotic virial equation was used to predict osmolalities of solutions of interest in biology. The second osmotic virial coefficients, Bi, account for the interactions between identical solute molecules. For multisolute solutions, the second osmotic virial cross coefficient, Bij, describes the interaction between two different solutes. We propose to
J A W, Elliott +4 more
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Virial theorem for two‐body Dirac equation
Journal of Mathematical Physics, 1993 peer reviewedThe quantum-mechanical virial theorem is applied to the two-body Dirac equation. It can be used as a powerful test for solutions of this equation.
Claude Semay, Semay Claude
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Modified Virial Expansion and the Equation of State
Russian Journal of Mathematical Physics, 2021We 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
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Virial equation of state for natural gas systems
Fluid Phase Equilibria, 2003J P Martin Trusler
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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.
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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.
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Computation of virial coefficients from integral equations
The Journal of Chemical Physics, 2015A 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
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Physics Bulletin, 1970
E A Mason and T H Spurling Oxford: Pergamon Press 1969 pp xi + 297 price £6 This is part of the International Encyclopedia of Physical Chemistry and Chemical Physics and is the second volume in the series The Fluid State edited by Prof J S Rowlinson. The treatment by the authors of the virial equation of state is appropriate to such a collection, being
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E A Mason and T H Spurling Oxford: Pergamon Press 1969 pp xi + 297 price £6 This is part of the International Encyclopedia of Physical Chemistry and Chemical Physics and is the second volume in the series The Fluid State edited by Prof J S Rowlinson. The treatment by the authors of the virial equation of state is appropriate to such a collection, being
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Virial equation of state of hard hyperspheroids
The Journal of Chemical PhysicsWe provide equation-of-state data for hard, uniaxial hyperellipsoids of revolution (hyperspheroids) in the four-dimensional Euclidean space for various prolate and oblate aspect ratios using virial coefficients up to the eighth order. Using analytically known second virial coefficients from Brunn–Minkowski theory as a reference, higher-order virial ...
Markus Kulossa, Joachim Wagner
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