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

摘要

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