IJPAM: Volume 79, No. 1 (2012)

ON THE THERMAL CONDUCTIVITY OF
THE HARD SPHERE FLUID

Eugen Grycko$^1$, Werner Kirsch$^2$, Tobias Mühlenbruch$^3$
$^{1,2,3}$Department of Mathematics and Computer Science
University of Hagen
Lützowstr. 125, D-58094, Hagen, GERMANY


Abstract. We consider the hard sphere fluid confined to a container. We realize two heat baths at two opposite ends of the container entailing a stationary heat flow through the fluid. Based on a simulation experiment, the heat conductivity can be estimated. A formula for the heat conductivity of the hard sphere fluid is proposed; the formula is valid for arbitrary temperature and for a wide range of fluid density. As an application, the obtained formula is discussed in the light of laboratory values of thermal conductivity for noble gases and for water.

Received: March 14, 2012

AMS Subject Classification: 82C70

Key Words and Phrases: molecular dynamics, Nadaraya-Watson estimator, weighted regression

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 79
Issue: 1