### 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) |
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Pages (from-to) | 1221-1234 |

Number of pages | 14 |

Journal | Journal of Statistical Physics |

Volume | 49 |

Issue number | 5-6 |

DOIs | |

State | Published - Dec 1 1987 |

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### Keywords

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

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Statistical Physics*,

*49*(5-6), 1221-1234. https://doi.org/10.1007/BF01017568