Accession Number : AD0709373

Title :   APPLICATION OF MAYER'S THEORY TO THE STUDY OF ONE DIMENSIONAL SYSTEMS WITH REPULSIVE AND WEAK, LONG RANGE INTERACTIONS,

Corporate Author : YALE UNIV NEW HAVEN CONN DEPT OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Liebman,Alan J. ; Parlange,Jean-Yves

Report Date : MAR 1970

Pagination or Media Count : 33

Abstract : Mayer's theory is applied to systems with infinitely repulsive (hard rod) and weak, long range pair potentials. Infinite sets of irreducible integrals are found analytically for each case. A theorem on star graph degeneracies is derived from the hard rods solution. The addition of weak attraction to hard repulsion is shown to give rise to a van der Waals equation of state. When a cluster-width dependent potential is examined, it is found that a region of relatively soft repulsion acts like a weak attraction. (Author)

Descriptors :   (*CONDENSATION, GASES), (*STATISTICAL MECHANICS, EQUATIONS OF STATE), THERMODYNAMICS, PHASE STUDIES, GRAPHICS, INTEGRALS

Subject Categories : Physical Chemistry

Distribution Statement : APPROVED FOR PUBLIC RELEASE