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The cholesteric-smectic A transition

 

作者: L. BENGUIGUI,  

 

期刊: Liquid Crystals  (Taylor Available online 1998)
卷期: Volume 25, issue 4  

页码: 505-515

 

ISSN:0267-8292

 

年代: 1998

 

DOI:10.1080/026782998206029

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Instead of studying the cholesteric-smectic A transition from the analogy with superconductors, we present a direct investigation of the properties of this transition. The transition is of first order and a very simple relationship between the four basic lengths (correlation length, penetration length, layer spacing of the smectic structure, and pitch of the cholesteric structure) exists at the transition temperature. We calculate the wall energy separating a cholesteric region from a smectic region in two different configurations. For one of them, we recover the definition of the type I (positive wall energy) and type II (negative wall energy) smectics A. We do not find a specific value of the Ginzburg-Landau parameter kc which gives the distinction between the two types of smectics; kc is a function of the product of the perpendicular correlation length and the wave vector of the smectic density modulation. We recover the well known value from the superconductor analogy, kc 1/tick 2, only if this product is large and the rotation of the director inside the wall is small. For the second configuration, the wall energy is always positive and there is no analogy with superconductors. Finally, we discuss briefly two different possibilities of mixed phases.

 

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