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 language | English (US) |
---|---|
Pages (from-to) | 1221-1234 |
Number of pages | 14 |
Journal | Journal of Statistical Physics |
Volume | 49 |
Issue number | 5-6 |
DOIs | |
State | Published - Dec 1987 |
Keywords
- Anisotropic hard-core fluids
- large elongation
- one-dimensional models
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics