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Liquid Crystals Volume 1, 1986 - Issue 4
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Original Articles

Free Energies in the Landau and Molecular Field Approaches

J. Katriel Department of Chemistry, Technion-Israel Institute of Technology, 32000, Haifa, Israel
,
G. F. Kventsel Department of Chemistry, Technion-Israel Institute of Technology, 32000, Haifa, Israel; Department of Chemistry, University of Southampton, Southampton, SO9 5NH, England
,
G. R. Luckhurst Department of Chemistry, University of Southampton, Southampton, SO9 5NH, England
&
T. J. Sluckin Faculty of Mathematical Studies, University of Southampton, Southampton, SO9 5NH, England; Department of Chemistry, Technion-Israel Institute of Technology, 32000, Haifa, Israel
Pages 337-355 | Received 07 Apr 1986, Accepted 12 May 1986, Published online: 06 Nov 2007
 
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Abstract

An expression for the entropy as a power series in the order parameter is derived in the context of molecular field theory. The expression is valid both at and away from equilibrium. It is a unique generalization of molecular field theory to non-equilibrium situations. Discrepancies with certain expressions which have appeared in the literature are resolved. Analysis of the radius of convergence of the power series indicates that in certain cases, including the Maier-Saupe model of liquid crystals, molecular field theory and Landau theory cannot be made to agree over the entire range of possible values of the order parameter.

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