Online citations, reference lists, and bibliographies.
← Back to Search

Undulation Instability Under Shear In Smectic A Liquid Crystals

P. Oswald, S. I. Ben-abraham
Published 1982 · Physics

Save to my Library
Download PDF
Analyze on Scholarcy
Share
We study the undulation instability in a smectic A in the presence of shear flow parallel to the layers. We look for the dilation at the threshold where an undulation appears with a wave vector inclined at an angle θ to the direction of flow. We find an integral relation showing that the dilation is necessarily positive. We develop a perturbation method to calculate the dilation explicitly as a function of the angle θ and the shear rate. We show that an undulation with wave vector perpendicular to the shear direction is not affected by the flow and has a minimum threshold dilation equal to the static value. We conclude that a rectangular texture develops at higher dilations in agreement with the rectangular focal domain pattern observed experimentally.
This paper references



This paper is referenced by
10.1016/s1572-4859(05)80005-1
Dislocations and Disclinations in Mesomorphic Phases
M. Kleman (2004)
10.1103/PHYSREVE.69.021504
Shear-induced formation of vesicles in membrane phases: kinetics and size selection mechanisms, elasticity versus surface tension.
L. Courbin (2004)
10.1039/C2SM06831A
Shear-induced onion formation of polymer-grafted lamellar phase
S. Fujii (2012)
10.1039/c5sm01755f
Dynamic orientation transition of the lyotropic lamellar phase at high shear rates.
S. Fujii (2015)
10.1051/JPHYSLET:01983004408030300
Anomalies de l'écoulement laminaire d'un smectique A autour d'un obstacle cylindrique
P. Oswald (1983)
10.1007/S003970000074
The undulation instability in layered systems under shear flow – a simple model
G. Auernhammer (2000)
10.1021/la501071s
Multilamellar vesicle formation from a planar lamellar phase under shear flow.
L. Gentile (2014)
10.1080/00268948508074768
Development of Defect Textures in Smectic A Liquid Crystals: A Nonlinear Model
S. Ben-Abraham (1985)
10.1103/PHYSREVE.85.011701
Formation and ordering of topological defect arrays produced by dilatational strain and shear flow in smectic-A liquid crystals.
S. Chatterjee (2012)
Instabilities in layered liquids induced by external fields
G. Auernhammer (2003)
10.1007/978-4-431-54886-7_4
Nonequilibrium Structure Formation of Complex Bilayer Membrane Lamellar Phase Under Shear
S. Fujii (2015)
10.1088/0953-8984/21/46/465101
Shear flow in smectic A liquid crystals.
I. Stewart (2009)
10.1016/BS.ABL.2017.12.006
Shear-Induced Lamellar/Onion Transition in Surfactant Systems
T. Kato (2018)
10.1021/la3041665
Re-entrant lamellar/onion transition with varying temperature under shear flow.
D. Sato (2013)
10.1080/05698198708981790
Study of lyotropic liquid crystals in viscometric flow and elastohydrodynamic contact
F. Lockwood (1986)
10.1140/EPJE/E2004-00045-0
Shear-induced undulation of smectic-$\mathsf{A}$: Molecular dynamics simulations vs. analytical theory
T. Soddemann (2004)
10.1002/LS.3010040303
A liquid crystal lubricant with partial polymerisation
S. Gunsel (1992)
10.1007/978-94-011-5480-2_14
Effect of Flow on Lyotropic Phases
D. Roux (1997)
10.1007/12_2009_37
Layered Systems Under Shear Flow
D. Svenšek (2010)
10.1088/0034-4885/52/5/002
Defects in liquid crystals
M. Kleman (1989)
10.1051/JPHYS:019860047060109100
Modèle de couplage entre les défauts et un écoulement parallèle aux couches dans un smectique A
P. Oswald (1986)
10.1103/PhysRevE.66.061707
Shear-induced instabilities in layered liquids.
G. Auernhammer (2002)
10.1080/10587250108024997
The Role of the Smectic Layer Crossings in the Rheology of Side-Chain Liquid Crystalline Polymers
L. Noirez (2001)
10.1039/C2SM27102H
Energetics of lipid bilayers with applications to deformations induced by inclusions
R. D. Vita (2013)
10.1007/S00397-008-0327-7
Multilamellar vesicles (“onions”) under shear quench: pathway of discontinuous size growth
S. Koschoreck (2009)
Geometry and Thermodynamics of Filament Bundles
Isaac R Bruss (2015)
10.1080/15421408308084271
Dynamic Aspects of the Undulation Instability in Smectic A Liquid Crystals
S. I. Ben-abraham (1983)
10.1038/ncomms15809
The smectic order of wrinkles
H. Aharoni (2017)
10.1137/17M1119834
Second Order, Linear, and Unconditionally Energy Stable Schemes for a Hydrodynamic Model of Smectic-A Liquid Crystals
Rui Chen (2017)
10.1039/c4sm00146j
Structural rheology of focal conic domains: a stress-quench experiment.
S. Fujii (2014)
Semantic Scholar Logo Some data provided by SemanticScholar