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

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)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1970
Accession Number
AD0709373

Entities

People

  • Alan J. Liebman
  • Jean-yves Parlange

Organizations

  • Yale University

Tags

DTIC Thesaurus Topics

  • Condensation
  • Equations
  • Equations Of State
  • Integrals
  • Isothermal Processes
  • Mathematics
  • Nucleation

Fields of Study

  • Physics

Readers

  • Astronomy/Astrophysics
  • Linear Algebra
  • Quantum Chemistry