Equation of state of a seven-dimensional hard-sphere fluid. Percus-Yevick theory and molecular dynamics simulations

Abstract

Following the work of Leutheusser [Physica A 127, 667 (1984)], the solution to the Percus-Yevick equation for a seven-dimensional hard-sphere fluid is explicitly found. This allows the derivation of the equation of state for the fluid taking both the virial and the compressibility routes. An analysis of the virial coefficients and the determination of the radius of convergence of the virial series are carried out. Molecular dynamics simulations of the same system are also performed and a comparison between the simulation results for the compressibility factor and theoretical expressions for the same quantity is presented.

12 pages, 4 figures; v3: Equation (A.19) corrected (see http://dx.doi.org/10.1063/1.2390712)

References in corpus (3)

• Analytic calculation of B4 for hard spheres in even dimensions
• Negative virial coefficients and the dominance of loose packed diagrams for D-dimensional hard spheres
• Virial coefficients and equations of state for mixtures of hard discs, hard spheres and hard hyperspheres

Cited by in corpus (19)

• Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions
• Structure of hard-hypersphere fluids in odd dimensions
• Solution of the Percus-Yevick equation for hard hyperspheres in even dimensions
• Solution of the Percus-Yevick equation for hard discs
• Virial series for fluids of hard hyperspheres in odd dimensions
• Alternative Approaches to the Equilibrium Properties of Hard-Sphere Liquids
• Geometrical Frustration in Two Dimensions: Idealizations and Realizations of a Hard Disc Fluid in Negative Curvature
• Percus-Yevick theory for the structural properties of the seven-dimensional hard-sphere fluid
• Chemical-Potential Route: A Hidden Percus-Yevick Equation of State for Hard Spheres
• Multicomponent fluids of hard hyperspheres in odd dimensions
• Random Close Packing and the Hard Sphere Percus-Yevick Theory
• Demixing can occur in binary hard-sphere mixtures with negative non-additivity
• Fluid-solid transition in hard hyper-sphere systems
• Static properties of quasi-confined hard-sphere fluids
• Equation of State of Four- and Five-Dimensional Hard-Hypersphere Mixtures
• Liquid pair correlations in four spatial dimensions: Theory versus simulation
• Comment to "Packing Hyperspheres in High-Dimensional Euclidean Space"
• Theory of Generalized Hertzian Hyperspheres
• Temperature Expansions in the Square-Shoulder Fluid I: the Wiener-Hopf Function