### 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 |

### Fingerprint

### 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

*Journal of Statistical Physics*,

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

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

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 49, no. 5-6, pp. 1221-1234. https://doi.org/10.1007/BF01017568

}

TY - JOUR

T1 - On the orientational properties of some one-dimensional model systems

AU - Lebowitz, J. L.

AU - Percus, Jerome

AU - Talbot, J.

PY - 1987/12

Y1 - 1987/12

N2 - 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.

AB - 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.

KW - Anisotropic hard-core fluids

KW - large elongation

KW - one-dimensional models

UR - http://www.scopus.com/inward/record.url?scp=0347924837&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347924837&partnerID=8YFLogxK

U2 - 10.1007/BF01017568

DO - 10.1007/BF01017568

M3 - Article

VL - 49

SP - 1221

EP - 1234

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 5-6

ER -