A generalization of the carnahan-starling approach with applications to four- and five-dimensional hard spheres

DOI10.1016/J.PHYSLETA.2018.04.036zbMath1396.82005OpenAlexW2801039156MaRDI QIDQ1786717

Dmitry Ivanizki

Publication date: 24 September 2018

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2018.04.036

zbMATH Keywords

equation of statearbitrary dimensionCarnahan-Starlinghard hyperspheresinteger virial coefficientsnegative virial coefficients

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Classical and relativistic thermodynamics (80A10) Foundations of thermodynamics and heat transfer (80A05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Statistical mechanics of gases (82D05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Cites Work

• Analytic calculation of \(B_4\) for hard spheres in even dimensions
• Theory and simulation of hard-sphere fluids and related systems. With a preface by Juan H. Vera.
• Exact solution of the Percus-Yevick equation for a hard-core fluid in odd dimensions
• Ninth and tenth order virial coefficients for hard spheres in \(D\) dimensions
• The fourth virial coefficient of a fluid of hard spheres in odd dimensions
• A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
• Analysis of Classical Statistical Mechanics by Means of Collective Coordinates
• Discrete Inverse Problems

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