IJPAM: Volume 57, No. 1 (2009)

ON THE COLLISION RATE IN THE HARD DISK FLUID

Eugen Grycko
Department of Mathematics and Computer Science
University of Hagen
125, Lützowstr., Hagen, D-58094, GERMANY
e-mail: eugen.grycko@fernuni-hagen.de


Abstract.$N$ hard disks are injected into a 2-dimensional container. The initial velocities of the disks are generated according to a centered normal distribution. The Newtonian dynamics is imposed on the thermodynamic system (fluid). The collision rate of the disks is estimated from computer experimental data. A semi-empirical formula for the collision rate as a function of thermodynamic fluid parameters is proposed. This formula turns out to be valid for a wide range of fluid densities.

Received: October 25, 2009

AMS Subject Classification: 82B30

Key Words and Phrases: molecular dynamics, Boltzmann system, computer experiment

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 1