Bulk inhomogeneous phases of anisotropic particles: A fundamental measure functional study of the restricted orientations model

Abstract

The phase diagram of prolate and oblate particles in the restricted orientations approximation (Zwanzig model) is calculated. Transitions to different inhomogeneous phases (smectic, columnar, oriented, or plastic solid) are studied through minimization of the fundamental measure functional (FMF) of hard parallelepipeds. The study of parallel hard cubes (PHC's) as a particular case is also included motivated by recent simulations of this system. As a result a rich phase behavior is obtained which include, apart from the usual liquid crystal phases, a very peculiar phase (called here discotic smectic) which was already found in the only existing simulation of the model, and which turns out to be stable because of the restrictions imposed on the orientations. The phase diagram is compared at a qualitative level with simulation results of other anisotropic particle systems.

11 pages, 10 figures

References in corpus (7)

• Density Functional for Anisotropic Fluids
• Enhancement by polydispersity of the biaxial nematic phase in a mixture of hard rods and plates
• Bulk and interfacial properties of binary hard-platelet fluids
• Phase diagrams of Zwanzig models: The effect of polydispersity
• Thermodynamics and phase behavior of the lamellar Zwanzig model
• Free planar isotropic-nematic interfaces in binary hard-rod fluids
• Isotropic-nematic transition in hard-rod fluids: relation between continuous and restricted-orientation models

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