The Mathematical Institute, University of Oxford, Eprints Archive

Transitions through Critical Temperatures in Nematic Liquid Crystals

Majumdar, A. and Ockendon, J. R. and Howell, P. D. and Surovyatkina, E. (2012) Transitions through Critical Temperatures in Nematic Liquid Crystals. Physical Review E . (Submitted)

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Abstract

We obtain ‘dynamic’ estimates for critical nematic liquid crystal (LC) temperatures with a slowly varying temperature-dependent control variable. We focus on two critical temperatures : the supercooling temperature below which the isotropic phase loses stability and the superheating temperature above which the ordered nematic states do not exist. In contrast to the static problem, the isotropic phase exhibits a memory effect below the supercooling temperature. This delayed loss of stability is independent of the rate of change of temperature and depends purely on the initial value of the temperature.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1643
Deposited By: Peter Hudston
Deposited On:05 Jan 2013 10:26
Last Modified:29 May 2015 19:20

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