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, comment/opinion or interviewpeer-review

    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

    Bibliographical note

    © IOP

    Keywords

    • liquid crystals
    • stochastic mathematics

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