A note on the Onsager model of nematic phase transitions

I Fatkullin, V Slastikov

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

We study Onsager's free energy functional for nematic liquid crystals with an orientation parameter on a unit circle. For a class of interaction potentials we obtain explicit expressions for all critical points, analyze their stability, and construct the corresponding bifurcation diagram. We also derive asymptotic expansions of the equilibrium density of orientations near the critical and zero temperatures.
Translated title of the contributionA note on the Onsager model of nematic phase transitions
Original languageEnglish
Pages (from-to)21 - 26
Number of pages6
JournalCommunications in Mathematical Sciences
Volume3 (1)
Publication statusPublished - Mar 2005

Bibliographical note

Publisher: Int Press

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