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March 2005 A Note on the Onsager Model of Nematic Phase Transitions
I. Fatkullin, V. Slastikov
Commun. Math. Sci. 3(1): 21-26 (March 2005).


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.


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I. Fatkullin. V. Slastikov. "A Note on the Onsager Model of Nematic Phase Transitions." Commun. Math. Sci. 3 (1) 21 - 26, March 2005.


Published: March 2005
First available in Project Euclid: 17 March 2005

zbMATH: 1162.82304
MathSciNet: MR2132823

Rights: Copyright © 2005 International Press of Boston

Vol.3 • No. 1 • March 2005
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