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Enhancement of Nematic Order and Global Phase Diagram of a Lattice Model for Coupled Nematic Systems

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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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Acknowledgements

We thank the financial support of the Brazilian agencies Fapesp and CNPq.

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Authors and Affiliations

  1. Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, CEP 05314-970, São Paulo, SP, Brazil

    Danilo Barbosa Liarte & Silvio Roberto Salinas

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  1. Danilo Barbosa Liarte
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  2. Silvio Roberto Salinas
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Correspondence to Danilo Barbosa Liarte.

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Liarte, D.B., Salinas, S.R. Enhancement of Nematic Order and Global Phase Diagram of a Lattice Model for Coupled Nematic Systems. Braz J Phys 42, 261–266 (2012). https://doi.org/10.1007/s13538-012-0085-y

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