Dynamics of cholesteric liquid crystals in the presence of random magnetic fields
1 Department of Mathematics, Aston University - Birmingham B4 7ET, England, UK
2 Department of Physics, Government College of Engineering and Textile Technology 12 William Carey Road, Serampore, Hooghly-712201, India
Received: 24 July 2015
Accepted: 11 December 2015
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 the 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 provide the first theoretical understanding of a KPZ phase in distorted nematic liquid-crystal dynamics.
PACS: 05.10.Cc – Renormalization group methods / 61.30.Dk – Continuum models and theories of liquid crystal structure / 61.30.-v – Liquid crystals
© EPLA, 2015