On the orientational properties of some one-dimensional model systems |
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Authors: | J L Lebowitz J K Percus J Talbot |
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Institution: | (1) Departments of Mathematics and Physics, Rutgers University, 08903 New Brunswick, New Jersey;(2) Courant Institute of Mathematical Sciences and Department of Physics, New York University, 10012 New York, New York;(3) Department of Chemistry and Biochemistry, University of California, 90024 Los Angeles, California |
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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 p/p is higher than that for a system with complete aligment by a factor 1+ that depends upon the molecular geometry. For molecules with a finite radius of curvature, e.g., ellipses, =d/2, while for objects with flat sides =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. |
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Keywords: | Anisotropic hard-core fluids one-dimensional models large elongation |
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