Critical elastic coefficient of liquid crystals and hysteresis
type: Item
instance of: scholarly article
title: Critical elastic coefficient of liquid crystals and hysteresis
zbMATH Open document ID: 1145.82027
author: Xingbin Pan
published in: Communications in Mathematical Physics
publication date: 2008-07-30T00:00:00Z
review text: The author analyzes the following conjecture formulated by P. G. de Gennes related to the analogies between liquid crystals and superconductors: at smectic-\(C\) to nematic transition, all elastic coefficients diverge. This prediction is analyzed in the present paper by using the Landau-de Gennes model. The analysis developed in this work deals on several quantitative comparisons between the effect of the elastic coefficients to liquid crystals and the magnetic effect to superconductivity. This is mainly based by the introduction of the critical elastic coefficient \(K^c\) which is useful in describing the phase transitions of liquid crystals as the elastic coefficients increase and pass by \(K^c\). The main result established in this paper establishes that in the subcritical case the liquid crystal does not undergo phase transition, while in the supercritical case both phase transition and hysterezis occur.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 82D30
Mathematics Subject Classification ID: 82D55
Mathematics Subject Classification ID: 76A15
Mathematics Subject Classification ID: 74A40
Mathematics Subject Classification ID: 82B26
zbMATH DE Number: 5306092
zbMATH Keywords: liquid crystal
zbMATH Keywords: hysterezis
zbMATH Keywords: superconductor
zbMATH Keywords: Ginzburg-Landau parameter
MaRDI profile type: Publication
full work available at URL: s00220-008-0413-9
OpenAlex ID: W2002934731
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DOI: 10.1007/S00220-008-0413-9
description: scientific article; zbMATH DE number 5306092