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arXiv · 1602.03219

Dynamics of cholesteric liquid crystals in the presence of random magnetic fields

Amit K. Chattopadhyay·Prabir K. Mukherjee
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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.

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Amit K. Chattopadhyay, Prabir K. Mukherjee. 2016-02-09. Dynamics of cholesteric liquid crystals in the presence of random magnetic fields. https://doi.org/10.1209/0295-5075/112/60002

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