Dynamics of cholesteric liquid crystals in the presence of a random magnetic field: stochastic dynamics of cholesteric liquid crystal

Amit K. Chattopadhyay, Prabir K. Mukherjee

Research output: Contribution to journalLetter

Abstract

Based on dynamic renormalization group techniques, this letter analyzes the effects of external stochastic perturbations on the dynamical properties of cholesteric liquid crystals, studied in presence of a random magnetic field. Our analysis quantifies the nature of the temperature dependence of the dynamics; the results also highlight a hitherto unexplored regime in cholesteric liquid crystal dynamics. We show that stochastic fluctuations drive the system to a second-ordered Kosterlitz-Thouless phase transition point, eventually leading to a Kardar-Parisi-Zhang (KPZ) universality class. The results go beyond quasi-first order mean-field theories, and provides the first theoretical understanding of a KPZ phase in distorted nematic liquid crystal dynamics.
Original languageEnglish
Article number60002
Number of pages5
JournalEurophysics Letters
Volume112
Issue number6
DOIs
Publication statusPublished - Dec 2015

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Keywords

  • liquid crystals
  • stochastic mathematics

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