Dynamic renormalization group analysis of the chiral smectic-C to smectic-C phase transition

The chiral smectic-C to smectic-C (SmC * -SmC) phase transition has been studied using dynamic renormalization group (DRG) analysis. Langevin equations are derived from the nonlinear elastic model of the SmC * -SmC phase transition. The DRG equations are derived. The DRG analysis predicts the Koster...

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Bibliographic Details
Published inFerroelectrics Vol. 615; no. 1; pp. 369 - 376
Main Author Mukherjee, Prabir K.
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 01.01.2023
Taylor & Francis Ltd
Subjects
Ferroelectric liquid crystal
Kardar-Parisi-Zhang equation
Langevin equation
Phase transitions
renormalization group theory
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Summary:The chiral smectic-C to smectic-C (SmC * -SmC) phase transition has been studied using dynamic renormalization group (DRG) analysis. Langevin equations are derived from the nonlinear elastic model of the SmC * -SmC phase transition. The DRG equations are derived. The DRG analysis predicts the Kosterlitz-Thouless transition at low frequency limit and Kardar-Parisi-Zhang (KPZ) fixed point. The DRG calculation confirms that the SmC * -SmC phase transition belong to the KPZ universality class.
ISSN:0015-0193
1563-5112
DOI:10.1080/00150193.2023.2262646