A simple free energy for the isotropic-nematic phase transition of rods

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Abstract

A free energy expression is proposed that describes the isotropic-nematic binodal concentrations of hard rods. A simple analytical form for this free energy was yet only available using a Gaussian trial function for the orientation distribution function (ODF), leading, however, to a significant deviation of the predicted binodals.Thenewfree energy proposed here is based upon a rationalized correction to the orientational and packing entropies when using the Gaussian ODF. In combination with Parsons-Lee theory or scaled particle theory, it enables describing the isotropic-nematic phase coexistence concentrations of rods accurately using the simple Gaussian ODF for a wide range of aspect ratios.
Original languageEnglish
Article number5871826
Pages (from-to)1-6
Number of pages6
JournalAdvances in Condensed Matter Physics
Volume2016
DOIs
Publication statusPublished - 2016

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