An equation of state à la Carnahan–Starling for a five-dimensional fluid of hard hyperspheres

The equation of state for five-dimensional hard hyperspheres arising as a weighted average of the Percus–Yevick compressibility (35) and virial (25) equations of state is considered. This Carnahan–Starling-type equation turns out to be extremely accurate, despite the fact that both Percus–Yevick equations of state are rather poor.

[1]  J. Clarke,et al.  Equation of state of hard and Weeks–Chandler–Anderson hyperspheres in four and five dimensions , 1999 .

[2]  L. González,et al.  Structure and thermodynamics of mixtures of hard D‐dimensional spheres: Overlap volume function approach , 1992 .

[3]  J. Solana,et al.  Equations of state for D-dimensional hard sphere fluids , 1991 .

[4]  L. González,et al.  Thermodynamics of a Fluid of Hard D-dimensional Spheres: Percus-Yevick and Carnahan-Starling-like Results for D = 4 and 5 , 1990 .

[5]  E. A. Mason,et al.  Equation of state for fluids of spherical particles in d dimensions , 1990 .

[6]  Michels,et al.  Equation of state of hard D-dimensional hyperspheres. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[7]  E. A. Mason,et al.  Why does the Carnahan-Starling equation work so well? , 1989 .

[8]  J. Solana,et al.  Equations of State for Four-and Five-Dimensional Hard Hypersphere Fluids , 1989 .

[9]  M. Baus,et al.  The freezing of hard disks and hyperspheres , 1986 .

[10]  E. Leutheusser.  Exact solution of the Percus-Yevick equation for a hard-core fluid in odd dimensions , 1984 .

[11]  J. Michels,et al.  Dynamical computer simulations on hard hyperspheres in four- and five-dimensional space , 1984 .

[12]  C. Joslin.  Third and fourth virial coefficients of hard hyperspheres of arbitrary dimensionality , 1982 .

[13]  A. Baram,et al.  Third and fourth virial coefficients of hard hyperspheres of arbitrary dimensionality , 1982 .

[14]  B. Freasier,et al.  A remark on the Percus-Yevick approximation in higher dimensions , 1981 .

[15]  I. R. Mcdonald,et al.  Theory of simple liquids , 1998 .

[16]  K. E. Starling,et al.  Equation of State for Nonattracting Rigid Spheres , 1969 .

[17]  F. Ree,et al.  Radial Distribution Functions and Equation of State of the Hard‐Disk Fluid , 1969 .