Published 2005
| Published
Journal Article
Open
A Note on the Onsager Model of Nematic Phase Transitions
- Creators
- Fatkullin, I.
- Slastikov, V.
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.
Additional Information
© 2005 International Press of Boston. Received: October 26, 2004; accepted (in revised version): November 22, 2004. Communicated by Weinan E. The authors thank Weinan E of Princeton University for pointing out that similar results have been obtained in [6], which was not available in press when this work was completed. V. S. acknowledges support by NSF grant DMS-0405343.Attached Files
Published - euclid.cms.1111095638.pdf
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euclid.cms.1111095638.pdf
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Additional details
- Eprint ID
- 76006
- DOI
- 10.4310/CMS.2005.v3.n1.a2
- Resolver ID
- CaltechAUTHORS:20170408-144655547
- DMS-0405343
- NSF
- Created
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2017-05-04Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field