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 |
---|---|

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 |

Depositing user: | Pure Administrator |

Date Deposited: | 17 Jan 2012 14:02 |

Last modified: | 21 May 2015 12:19 |

URI: | http://strathprints.strath.ac.uk/id/eprint/36774 |

### Actions (login required)

View Item |