Classical one-dimensional gas of hard rods with an interaction of finite range

Abstract

The classical one-dimensional gas of hard rods with an interaction of finite range is investigated. The Gibbs potential, the distribution function of a finite number of successive particles, and the average length per particle of that system are shown to be expressed in terms of the eigenvalue with the smallest absolute value and the corresponding eigenfunction of a homogeneous linear integral equation. Byckling's equation is criticized.