Some applications of the Lambert W function to classical statistical mechanics

Preprint

23 June 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0306562

Abstract

We apply the recently defined Lambert W function to some problems of classical statistical mechanics, i.e. the Tonks gas and a fluid of classical particles interacting via repulsive pair potentials. The latter case is considered both from the point of view of the standard theory of liquids and in the framework of a field theoretical description. Some new mathematical properties of the Lambert W function are obtained by passing.

Keywords

CLASSICAL STATISTICAL MECHANICS
MATHEMATICAL PROPERTIES
STATISTICAL MECHANICS
LAMBERT W FUNCTION
STANDARD THEORY
PAIR POTENTIALS
TONKS GAS

All Related Versions

Version 1, 2003-06-23, ArXiv
Published version: Journal of Physics A: General Physics, 36 (42), 10431.

This publication has 0 references indexed in Scilit: