A general equation of state for hard hyperspheres

Publication Issue: 
Volume 30, Number 1-4, 2009
Page No: 
Date Received: 
Tuesday, November 4, 2008
Authors' Name: 
Mehrdad Khanpoura
Rauzah Hashimb
Authors' Affiliation and Address: 
aDepartment of Chemistry, Islamic Azad University, Amol Branch, Amol, Iran
bDepartment of Chemistry, University of Malaya, 50603 Kuala Lumpur, Malaysia

Based on an observation of the Carnahan-Starling equation of state for hard sphere fluid
and its generalization to arbitrary dimensions, a new simple equation of state for hard
hyperspheres is proposed. Accuracy of the new equation is then tested in dimensions ≤ 8 by
comparison with results from computer simulation data. In all dimensions, the proposed
equation demonstrated comparable accuracy with previously established equations.

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