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

Chattopadhyay, Amit K. and Mukherjee, Prabir K. (2015). Dynamics of cholesteric liquid crystals in the presence of a random magnetic field:stochastic dynamics of cholesteric liquid crystal. Europhysics Letters, 112 (6),

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.

Publication DOI: https://doi.org/10.1209/0295-5075/112/60002
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: © IOP
Uncontrolled Keywords: liquid crystals,stochastic mathematics,Physics and Astronomy(all)
Full Text Link: http://iopscience.iop.org/article/10.1209/0295-5075/112/60002/meta
Related URLs: http://www.scopus.com/inward/record.url?scp=84955259283&partnerID=8YFLogxK (Scopus URL)
Published Date: 2015-12
Authors: Chattopadhyay, Amit K. ( 0000-0001-5499-6008)
Mukherjee, Prabir K.

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