English

Effect of magnetic nanoparticles on the nematic-smectic-A phase transition

Soft Condensed Matter 2017-05-25 v1 Materials Science Statistical Mechanics

Abstract

Recent experiments on mixed liquid crystals have highlighted the hugely significant role of ferromagnetic nanoparticle impurities in defining the nematic-smectic-A phase transition point. Structured around a Flory-Huggins free energy of isotropic mixing and Landau-de Gennes free energy, this article presents a phenomenological mean-field model that quantifies the role of such impurities in analyzing thermodynamic phases, in a mixture of thermotropic smectic liquid crystal and ferromagnetic nanoparticles. First we discuss the impact of ferromagnetic nanoparticles on the isotropic-ferronematic and ferronematic-ferrosmectic phase transitions and their transition temperatures. This is followed by analysis of various topologies in the phase diagrams. Our model results indicate that there exists a critical concentration of nanoparticle impurities for which the second order N-SmA transition becomes first order at a tricritical point. Calculations based on this model show remarkable agreement with experiment.

Keywords

Cite

@article{arxiv.1705.08702,
  title  = {Effect of magnetic nanoparticles on the nematic-smectic-A phase transition},
  author = {Prabir K Mukherjee and Amit K Chattopadhyay},
  journal= {arXiv preprint arXiv:1705.08702},
  year   = {2017}
}

Comments

14 pages, 5 figures