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Title:Sharp-interface nematic–isotropic phase transitions without flow
Author(s):Cermelli, Paolo; Fried, Eliot; Gurtin, Morton E.
Abstract:We derive a supplemental evolution equation for an interface between the nematic and isotropic phases of a liquid crystal when flow is neglected. Our approach is based on the notion of configurational force. As an application, we study the behavior a spherical isotropic drop surrounded by a radially-oriented nematic phase: our supplemental evolution equation then reduces to a simple ordinary differential equation admitting a closed form solution. In addition to describing many features of isotropic-to-nematic phase transitions, this simplified model yields insight concerning the occurrence and stability of isotropic cores for hedgehog defects in liquid crystals.
Issue Date:2003-12
Publisher:Department of Theoretical and Applied Mechanics (UIUC)
Series/Report:TAM Reports 1039
Genre:Technical Report
Publication Status:published or submitted for publication
Peer Reviewed:is peer reviewed
Date Available in IDEALS:2007-03-08
Is Version Of:Published as: Paolo Cermelli, Eliot Fried, and Morton E. Gurtin. Sharp-interface nematic–isotropic phase transitions without flow. Archive for Rational Mechanics and Analysis, Vol. 174, No. 2, 2004, pp. 151-178. DOI: 10.1007/s00205-004-0334-5. Copyright 2004 Springer.

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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