Enhancement of Nematic Order and Global Phase Diagram of a Lattice Model for Coupled Nematic Systems |
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Authors: | Danilo Barbosa Liarte Silvio Roberto Salinas |
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Institution: | 1. Instituto de Física, Universidade de S?o Paulo, Caixa Postal 66318, CEP 05314-970, S?o Paulo, SP, Brazil
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Abstract: | We use an infinite-range Maier–Saupe model, with two sets of local quadrupolar variables and restricted orientations, to investigate the global phase diagram of a coupled system of two nematic subsystems. The free energy and the equations of state are exactly calculated by standard techniques of statistical mechanics. The nematic–isotropic transition temperature of system A increases with both the interaction energy among mesogens of system B, and the two-subsystem coupling J. This enhancement of the nematic phase is manifested in a global phase diagram in terms of the interaction parameters and the temperature T. We make some comments on the connections of these results with experimental findings for a system of diluted ferroelectric nanoparticles embedded in a nematic liquid-crystalline environment. |
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