Density-functional, Landau, and Onsager theories of the isotropic-nematic transition of hard ellipsoids
نویسندگان
چکیده
منابع مشابه
The isotropic to nematic liquid crystal transition for hard ellipsoids: an Onsager-like theory and computer simulations
The phase transition from an isotropic to a nematic phase for a classical uid of hard ellipsoids has been studied using a version of a theory originally due to Onsager and by computer simulation. In the proposed form of the Onsager theory for the Helmholtz free energy, both the second and the third virial coeecients are treated exactly, but the fourth and higher virials are resummed in a manner...
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Recent attempts to generalize the classical Onsager theory of nematic ordering to finite-density systems of finite-length hard convex bodies are related and compared. It is pointed out that, although good results can be obtained in three-dimensions (3D), in two dimensions (2D) the underlying factorization approximation of the radial and angular variables always implies a second-order isotropic-...
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The isotropic-nematic (I-N) phase transition in hard ellipsoid fluids has been studied by computer simulation, using the Gibbs-Duhem integration technique introduced by Kofke; and theoretically, using Onsager theory and the Parsons-Lee improvement. In the simulations, the I-N coexistence line is mapped out in the P -x plane, where P is the pressure and x is the elongation, by numerically integr...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 1988
ISSN: 0556-2791
DOI: 10.1103/physreva.38.2022