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

Fingerprint

liquid crystals
magnetic fields
transition points
perturbation
temperature dependence

Bibliographical note

© IOP

Keywords

  • liquid crystals
  • stochastic mathematics

Cite this

@article{514be8553c9d4936a250120a447cfd32,
title = "Dynamics of cholesteric liquid crystals in the presence of a random magnetic field: stochastic dynamics of cholesteric liquid crystal",
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.",
keywords = "liquid crystals, stochastic mathematics",
author = "Chattopadhyay, {Amit K.} and Mukherjee, {Prabir K.}",
note = "{\circledC} IOP",
year = "2015",
month = "12",
doi = "10.1209/0295-5075/112/60002",
language = "English",
volume = "112",
journal = "Europhysics Letters",
issn = "0295-5075",
publisher = "IOP Publishing Ltd.",
number = "6",

}

TY - JOUR

T1 - Dynamics of cholesteric liquid crystals in the presence of a random magnetic field

T2 - stochastic dynamics of cholesteric liquid crystal

AU - Chattopadhyay, Amit K.

AU - Mukherjee, Prabir K.

N1 - © IOP

PY - 2015/12

Y1 - 2015/12

N2 - 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.

AB - 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.

KW - liquid crystals

KW - stochastic mathematics

UR - http://www.scopus.com/inward/record.url?scp=84955259283&partnerID=8YFLogxK

U2 - 10.1209/0295-5075/112/60002

DO - 10.1209/0295-5075/112/60002

M3 - Letter

AN - SCOPUS:84955259283

VL - 112

JO - Europhysics Letters

JF - Europhysics Letters

SN - 0295-5075

IS - 6

M1 - 60002

ER -