Novel Universality Classes in Ferroelectric Liquid Crystals

Amit K Chattopadhyay; Prabir K. Mukherjee

doi:10.1016/j.molliq.2017.11.018

Novel Universality Classes in Ferroelectric Liquid Crystals

Amit K Chattopadhyay, Prabir K. Mukherjee

Research output: Contribution to journal › Article › peer-review

Abstract

Abstract Starting from a Langevin formulation of a thermally perturbed nonlinear elastic model of the ferroelectric smectic-C* (SmC*) liquid crystals in the presence of an electric field, this article characterizes the hitherto unexplored dynamical phase transition from a thermo-electrically forced ferroelectric SmC* phase to a chiral nematic liquid crystalline phase and vice versa. The theoretical analysis is based on a combination of dynamic renormalization (DRG) and numerical simulation of the emergent model. While the DRG architecture predicts a generic transition to the Kardar-Parisi-Zhang (KPZ) universality class at dynamic equilibrium, in agreement with recent experiments, the numerical simulations of the model show simultaneous existence of two phases, one a subdiffusive (SD) phase characterized by a dynamical exponent value of 1, and the other a KPZ phase, characterized by a dynamical exponent value of 1.5. The SD phase flows over to the KPZ phase with increased external forcing, offering a new universality paradigm, hitherto unexplored in the context of ferroelectric liquid crystals.

Original language	English
Pages (from-to)	397-403
Journal	Journal of Molecular Liquids
Volume	249
Early online date	8 Nov 2017
DOIs	https://doi.org/10.1016/j.molliq.2017.11.018
Publication status	Published - 1 Jan 2018

Bibliographical note

© 2017, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/

Keywords

Ferroelectric liquid crystals
Kosterlitz-Thouless transition
renormalization group theory;
Kardar-Parisi-Zhang equation

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10.1016/j.molliq.2017.11.018

Novel Universality Classes in Ferroelectric Liquid Crystals
© 2017, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Accepted author manuscript, 800 KBLicence: CC BY-NC-ND 3.0

https://arxiv.org/pdf/1705.08705.pdf

Cite this

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title = "Novel Universality Classes in Ferroelectric Liquid Crystals",

abstract = "Abstract Starting from a Langevin formulation of a thermally perturbed nonlinear elastic model of the ferroelectric smectic-C* (SmC*) liquid crystals in the presence of an electric field, this article characterizes the hitherto unexplored dynamical phase transition from a thermo-electrically forced ferroelectric SmC* phase to a chiral nematic liquid crystalline phase and vice versa. The theoretical analysis is based on a combination of dynamic renormalization (DRG) and numerical simulation of the emergent model. While the DRG architecture predicts a generic transition to the Kardar-Parisi-Zhang (KPZ) universality class at dynamic equilibrium, in agreement with recent experiments, the numerical simulations of the model show simultaneous existence of two phases, one a subdiffusive (SD) phase characterized by a dynamical exponent value of 1, and the other a KPZ phase, characterized by a dynamical exponent value of 1.5. The SD phase flows over to the KPZ phase with increased external forcing, offering a new universality paradigm, hitherto unexplored in the context of ferroelectric liquid crystals.",

keywords = "Ferroelectric liquid crystals, Kosterlitz-Thouless transition, renormalization group theory; , Kardar-Parisi-Zhang equation",

author = "Chattopadhyay, {Amit K} and Mukherjee, {Prabir K.}",

note = "{\textcopyright} 2017, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/",

year = "2018",

month = jan,

day = "1",

doi = "10.1016/j.molliq.2017.11.018",

language = "English",

volume = "249",

pages = "397--403",

journal = "Journal of Molecular Liquids",

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TY - JOUR

T1 - Novel Universality Classes in Ferroelectric Liquid Crystals

AU - Chattopadhyay, Amit K

AU - Mukherjee, Prabir K.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - Abstract Starting from a Langevin formulation of a thermally perturbed nonlinear elastic model of the ferroelectric smectic-C* (SmC*) liquid crystals in the presence of an electric field, this article characterizes the hitherto unexplored dynamical phase transition from a thermo-electrically forced ferroelectric SmC* phase to a chiral nematic liquid crystalline phase and vice versa. The theoretical analysis is based on a combination of dynamic renormalization (DRG) and numerical simulation of the emergent model. While the DRG architecture predicts a generic transition to the Kardar-Parisi-Zhang (KPZ) universality class at dynamic equilibrium, in agreement with recent experiments, the numerical simulations of the model show simultaneous existence of two phases, one a subdiffusive (SD) phase characterized by a dynamical exponent value of 1, and the other a KPZ phase, characterized by a dynamical exponent value of 1.5. The SD phase flows over to the KPZ phase with increased external forcing, offering a new universality paradigm, hitherto unexplored in the context of ferroelectric liquid crystals.

AB - Abstract Starting from a Langevin formulation of a thermally perturbed nonlinear elastic model of the ferroelectric smectic-C* (SmC*) liquid crystals in the presence of an electric field, this article characterizes the hitherto unexplored dynamical phase transition from a thermo-electrically forced ferroelectric SmC* phase to a chiral nematic liquid crystalline phase and vice versa. The theoretical analysis is based on a combination of dynamic renormalization (DRG) and numerical simulation of the emergent model. While the DRG architecture predicts a generic transition to the Kardar-Parisi-Zhang (KPZ) universality class at dynamic equilibrium, in agreement with recent experiments, the numerical simulations of the model show simultaneous existence of two phases, one a subdiffusive (SD) phase characterized by a dynamical exponent value of 1, and the other a KPZ phase, characterized by a dynamical exponent value of 1.5. The SD phase flows over to the KPZ phase with increased external forcing, offering a new universality paradigm, hitherto unexplored in the context of ferroelectric liquid crystals.

KW - Ferroelectric liquid crystals

KW - Kosterlitz-Thouless transition

KW - renormalization group theory;

KW - Kardar-Parisi-Zhang equation

UR - http://doi.org/10.17036/22293068-b6e8-498a-b9db-5f93af0813e2

UR - https://www.sciencedirect.com/science/article/pii/S016773221733773X

U2 - 10.1016/j.molliq.2017.11.018

DO - 10.1016/j.molliq.2017.11.018

M3 - Article

SN - 0167-7322

VL - 249

SP - 397

EP - 403

JO - Journal of Molecular Liquids

JF - Journal of Molecular Liquids

ER -

Novel Universality Classes in Ferroelectric Liquid Crystals

Abstract

Bibliographical note

Keywords

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