Nonextensive mean-field theory for ferroelectric nematic liquid crystal phases

Kayacan O.

Chemical Physics, vol.317, no.1, pp.63-72, 2005 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 317 Issue: 1
  • Publication Date: 2005
  • Doi Number: 10.1016/j.chemphys.2005.06.001
  • Journal Name: Chemical Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.63-72
  • Keywords: Tsallis statistics, ferroelectric nematic liquid crystal, mean-field theory
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

Ferroelectric ordering in a nematic liquid crystal system is described using nonextensive thermostatistics. We use a mean-field potential, including effective potentials for both axial and polar interactions. By using a self-consistent numerical analysis, a complete q-dependent phase diagram is obtained as a function of the axial and polar interaction potential strengths. The phase transition behaviours and the generalized angular orientational distribution function of the molecules were investigated by studying the dependence of the polar and the axial order parameters on the reduced temperature for various values of the entropic index. This study can provide basic information to further detailed theoretical studies of molecular interactions.