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 factorβp/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 sidesυ=d; hered 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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. Frenkel, B. M. Mulder, and J. P. McTague,Phys. Rev. Lett. 52:287 (1984).
D. Frenkel and B. M. Mulder,Mol. Phys. 55:1171 (1985).
J. W. Perram, M. S. Wertheim, J. L. Lebowitz, and G. O. Williams,Chem. Phys. Lett. 105:277 (1984).
D. Frenkel,Mol. Phys. 54:145 (1985).
J. L. Lebowitz and J. W. Perram,Mol. Phys. 50:1207 (1983).
J. Talbot, D. J. Tildesley, and W. A. Steele,Faraday Disc. Chem. Soc. 80:91 (1985).
L. M. Casey and L. K. Runnels,J. Chem. Phys. 51:5070 (1969).
G. N. Watson,Theory of Bessel Functions (Cambridge, 1944).
W. A. Steele,The Interaction of Gases with Solid Surfaces (Pergamon, 1974).
A. Stroobants, H. N. W. Lekkerkerker, and D. Frenkel,Phys. Rev. Lett. 57:1452 (1986).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lebowitz, J.L., Percus, J.K. & Talbot, J. On the orientational properties of some one-dimensional model systems. J Stat Phys 49, 1221–1234 (1987). https://doi.org/10.1007/BF01017568
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01017568