On the orientational properties of some one-dimensional model systems

J. L. Lebowitz, J. K. Percus, J. Talbot

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We use the transfer matrix formalism to examine the behavior of some anisotropic hard-core fluids, the centers of whose particles are constrained to a line. At large elongation and pressure, the compressibility factor βp/p is higher than that for a system with complete aligment by a factor 1+υ that depends upon the molecular geometry. For molecules with a finite radius of curvature, e.g., ellipses, υ=d/2, while for objects with flat sides υ=d; here d is the number of orientational degrees of freedom. A connection is made to some recent studies of hard ellipsoid fluids. We also model the effect of an external field on physical adsorption and show the existence of a phase transition in certain limiting situations.

Original languageEnglish (US)
Pages (from-to)1221-1234
Number of pages14
JournalJournal of Statistical Physics
Issue number5-6
StatePublished - Dec 1987


  • Anisotropic hard-core fluids
  • large elongation
  • one-dimensional models

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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