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

## 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 |
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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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