Elastic Maier-Saupe-Zwanzig model and some properties of nematic elastomers.

@article{Liarte2011ElasticMM,
  title={Elastic Maier-Saupe-Zwanzig model and some properties of nematic elastomers.},
  author={Danilo B. Liarte and Silvio R. A. Salinas and Carlos S. O. Yokoi},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={84 1 Pt 1},
  pages={
          011124
        }
}
  • D. Liarte, S. Salinas, C. Yokoi
  • Published 11 February 2011
  • Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We introduce a simple mean-field lattice model to describe the behavior of nematic elastomers. This model combines the Maier-Saupe-Zwanzig approach to liquid crystals and an extension to lattice systems of the Warner-Terentjev theory of elasticity, with the addition of quenched random fields. We use standard techniques of statistical mechanics to obtain analytic solutions for the full range of parameters. Among other results, we show the existence of a stress-strain coexistence curve below a… 
Tricritical behavior of soft nematic elastomers.
  • D. Liarte
  • Mathematics, Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2013
TLDR
A lattice statistical model is proposed to investigate the phase diagrams and the soft responses of nematic liquid-crystal elastomers, finding a peculiar phase diagram, in terms of temperature and the diagonal component of the distortion tensor along the stretching direction, with first- and second-order transitions to the soft phase.
Elementary lattice models for the nematic transitions in liquid-crystalline systems
ABSTRACT The Maier-Saupe theory of the nematic phase transitions, with the requirement that the molecular directors are restricted to the Cartesian axes, can be formulated as a fully-connected
Uniaxial and biaxial structures in the elastic Maier-Saupe model.
TLDR
Analysis of the global phase diagram of a fully connected version of a Maier-Saupe-Zwanzig lattice model with the inclusion of couplings to an elastic strain field finds a first-order boundary along which there is a coexistence of two uniaxial paranematic phases, and which ends at a simple critical point.
Lattice Statistical Models for the Nematic Transitions in Liquid-Crystalline Systems
We investigate the connections between some simple Maier-Saupe lattice models, with a discrete choice of orientations of the microscopic directors, and a recent proposal of a two-tensor formalism to
Field-induced uniaxial and biaxial nematic phases in the Maier–Saupe–Zwanzig (MSZ) lattice model
ABSTRACT We report detailed statistical mechanics calculations to analyse the field-temperature phase diagram of a fully connected Maier–Saupe–Zwanzig (MSZ) lattice model for the nematic transitions
Enhancement of Nematic Order and Global Phase Diagram of a Lattice Model for Coupled Nematic Systems
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
Modulated phases in a three-dimensional Maier-Saupe model with competing interactions.
TLDR
It is shown that the proposed model exhibits isotropic and nematic phases and also a series of modulated phases that meet at a multicritical point, a Lifshitz point, and Monte Carlo simulations corroborate the general behavior found within the mean-field approximation.

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