A catastrophe-theoretic approach to tricritical points with application to liquid crystals

Livio Gibelli, Stefano Turzi

Research output: Contribution to journalArticlepeer-review

Abstract

A criterion to locate tricritical points in phase diagrams is proposed. The criterion is formulated in the framework of elementary catastrophe theory and encompasses all the existing criteria in that it applies to systems described by a generally nonsymmetric free energy which can depend on one or more order parameters. We show that tricritical points are necessarily given by free energies which are not 4-determined. An application to smectic- C liquid crystals is briefly discussed.

Original languageEnglish
Pages (from-to)63-76
Number of pages14
JournalSiam Journal on Applied Mathematics
Volume70
Issue number1
DOIs
Publication statusPublished - 1 Jul 2009

Keywords

  • Catastrophe theory
  • Liquid crystals
  • Phase transitions

Fingerprint Dive into the research topics of 'A catastrophe-theoretic approach to tricritical points with application to liquid crystals'. Together they form a unique fingerprint.

Cite this