On the orientational properties of some one-dimensional model systems

J. L. Lebowitz, Jerome Percus, J. Talbot

Research output: Contribution to journalArticle

Abstract

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
Volume49
Issue number5-6
DOIs
StatePublished - Dec 1987

Fingerprint

One-dimensional Model
Fluid
Radius of curvature
fluids
Compressibility
ellipses
Transfer Matrix
Ellipsoid
ellipsoids
Elongation
Adsorption
External Field
elongation
compressibility
Phase Transition
degrees of freedom
Limiting
Degree of freedom
curvature
Molecules

Keywords

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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

On the orientational properties of some one-dimensional model systems. / Lebowitz, J. L.; Percus, Jerome; Talbot, J.

In: Journal of Statistical Physics, Vol. 49, No. 5-6, 12.1987, p. 1221-1234.

Research output: Contribution to journalArticle

Lebowitz, J. L. ; Percus, Jerome ; Talbot, J. / On the orientational properties of some one-dimensional model systems. In: Journal of Statistical Physics. 1987 ; Vol. 49, No. 5-6. pp. 1221-1234.
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