Dynamics of smectic-C liquid crystals in a stochastic magnetic field

被引：1
作者：
Mukherjee, Prabir K. [1 ]
机构：
[1] Govt Coll Engn & Text Technol, Dept Phys, 12 William Carey Rd, Serampore 712201, Hooghly, India
来源：
PHILOSOPHICAL MAGAZINE | 2021年 / 101卷 / 04期
关键词：
Liquid crystals; phase transition; renormalisation group theory; Kardar-Parisi-Zhang equation; ELASTICITY;
D O I：
10.1080/14786435.2020.1843727
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The dynamical evolution of smectic-C liquid crystals in the presence of a magnetic field is studied. The theoretical analysis is based on dynamic renormalisation group techniques. The starting point of the analysis is the nonlinear elastic model of smectic-C liquid crystals followed by Langevin formulation. The dynamical model predicts the onset of Kosterlitz-Thouless transition at low frequency limit. The nonlinearity drives the system to a Kardar-Parisi-Zhang (KPZ) fixed point. The dynamic renormalisation group calculation predicts that smectic-C liquid crystals belong to the KPZ universality class.
引用
收藏
页码：479 / 490
页数：12
相关论文
共 24 条
[1]  
[Anonymous], 2013, FOKKER PLANCK EQUATI
[2]   Static domain wall solutions for smectic C liquid crystals [J].
Atkin, RJ ;
Stewart, IW .
MOLECULAR CRYSTALS AND LIQUID CRYSTALS, 2004, 413 :2397-2406
[3]  
Carlson T., 1995, PHYS REV E, V51
[4]   The role of pinning and instability in a class of non-equilibrium growth models [J].
Chattopadhyay, AK .
EUROPEAN PHYSICAL JOURNAL B, 2002, 29 (04) :567-576
[5]   Novel universality classes in ferroelectric liquid crystals [J].
Chattopadhyay, Amit K. ;
Mukherjee, Prabir K. .
JOURNAL OF MOLECULAR LIQUIDS, 2018, 249 :397-403
[6]   Dynamics of cholesteric liquid crystals in the presence of random magnetic fields [J].
Chattopadhyay, Amit K. ;
Mukherjee, Prabir K. .
EPL, 2015, 112 (06)
[7]  
DE GENNES P.-G., 1993, The Physics of Liquid Crystals, V83
[8]   High-fidelity spherical cholesteric liquid crystal Bragg reflectors generating unclonable patterns for secure authentication [J].
Geng, Yong ;
Noh, JungHyun ;
Drevensek-Olenik, Irena ;
Rupp, Romano ;
Lenzini, Gabriele ;
Lagerwall, Jan P. F. .
SCIENTIFIC REPORTS, 2016, 6
[9]   ANHARMONIC ELASTICITY OF SMECTICS-A AND THE KARDAR-PARISI-ZHANG MODEL [J].
GOLUBOVIC, L ;
WANG, ZG .
PHYSICAL REVIEW LETTERS, 1992, 69 (17) :2535-2538
[10]   KARDAR-PARISI-ZHANG MODEL AND ANOMALOUS ELASTICITY OF 2-DIMENSIONAL AND 3-DIMENSIONAL SMECTIC-A LIQUID-CRYSTALS [J].
GOLUBOVIC, L ;
WANG, ZG .
PHYSICAL REVIEW E, 1994, 49 (04) :2567-2578
123