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Collision statistics, thermodynamics, and transport coefficients of hard hyperspheres in three, four, and five dimensions

Lue, L. (2005) Collision statistics, thermodynamics, and transport coefficients of hard hyperspheres in three, four, and five dimensions. Journal of Chemical Physics, 122. 044513. ISSN 0021-9606

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Abstract

The collision statistics of hard hyperspheres are investigated. An exact, analytical formula is developed for the distribution of speeds of a sphere on collision, which is shown to be related to the average time between collisions for a sphere with a particular velocity. In addition, the relationship between the collision rate and the compressibility factor is generalized to arbitrary dimensions. Molecular dynamics simulations are performed for d = 3, 4, and 5 dimensional hard-hypersphere fluids. From these simulations, the equation of state of these systems, the self-diffusion coefficient, the shear viscosity, and the thermal conductivity are determined as a function of density. Various aspects of the collision statistics and their dependence on the density and dimensionality of the system are also studied.

Item type: Article
ID code: 36774
Keywords: collision statistics, thermodynamics, hard hyperspheres , Physical and theoretical chemistry, Physics, Physics and Astronomy(all), Physical and Theoretical Chemistry
Subjects: Science > Chemistry > Physical and theoretical chemistry
Science > Physics
Department: Faculty of Engineering > Chemical and Process Engineering
Related URLs:
    Depositing user: Pure Administrator
    Date Deposited: 17 Jan 2012 14:02
    Last modified: 05 Sep 2014 04:44
    URI: http://strathprints.strath.ac.uk/id/eprint/36774

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