DYNAMIC ASPECTS OF THE UNDULATION INSTABILITY IN SMECTIC A LIQUID CRYSTALS.

S. I. Ben-Abraham; P. Oswald

doi:10.1080/15421408308084271

DYNAMIC ASPECTS OF THE UNDULATION INSTABILITY IN SMECTIC A LIQUID CRYSTALS.

S. I. Ben-Abraham, P. Oswald

Department of Physics

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

5 Scopus citations

Abstract

The hydrodynamic behavior of a smectic a dilated perpendicularly to the layers is described by a set of partial differential equations. The dynamics of the undulation instability are studied in terms of a characteristic equation of sixth degree. For the undulation to develop at a finite growth rate the dilation must exceed a positive threshold value. Above threshold the range of undamped modes is studied. The fastest growing one is dominant and its wave vector corresponds to the static threshold. A conclusion is made by some qualitative conjectures about the effects of a laminar flow, the most important being the breaking of symmetry.

Original language	English
Pages (from-to)	383-399
Number of pages	17
Journal	Molecular Crystals and Liquid Crystals
Volume	94
Issue number	3-4
DOIs	https://doi.org/10.1080/15421408308084271
State	Published - 1 Jan 1983

ASJC Scopus subject areas

Engineering (all)

Access to Document

10.1080/15421408308084271

Cite this

@article{f971fe3c24f6486c9edfba062a13f038,

title = "DYNAMIC ASPECTS OF THE UNDULATION INSTABILITY IN SMECTIC A LIQUID CRYSTALS.",

abstract = "The hydrodynamic behavior of a smectic a dilated perpendicularly to the layers is described by a set of partial differential equations. The dynamics of the undulation instability are studied in terms of a characteristic equation of sixth degree. For the undulation to develop at a finite growth rate the dilation must exceed a positive threshold value. Above threshold the range of undamped modes is studied. The fastest growing one is dominant and its wave vector corresponds to the static threshold. A conclusion is made by some qualitative conjectures about the effects of a laminar flow, the most important being the breaking of symmetry.",

author = "Ben-Abraham, {S. I.} and P. Oswald",

year = "1983",

month = jan,

day = "1",

doi = "10.1080/15421408308084271",

language = "English",

volume = "94",

pages = "383--399",

journal = "Molecular Crystals and Liquid Crystals",

issn = "0026-8941",

publisher = "Taylor and Francis Ltd.",

number = "3-4",

}

TY - JOUR

T1 - DYNAMIC ASPECTS OF THE UNDULATION INSTABILITY IN SMECTIC A LIQUID CRYSTALS.

AU - Ben-Abraham, S. I.

AU - Oswald, P.

PY - 1983/1/1

Y1 - 1983/1/1

N2 - The hydrodynamic behavior of a smectic a dilated perpendicularly to the layers is described by a set of partial differential equations. The dynamics of the undulation instability are studied in terms of a characteristic equation of sixth degree. For the undulation to develop at a finite growth rate the dilation must exceed a positive threshold value. Above threshold the range of undamped modes is studied. The fastest growing one is dominant and its wave vector corresponds to the static threshold. A conclusion is made by some qualitative conjectures about the effects of a laminar flow, the most important being the breaking of symmetry.

AB - The hydrodynamic behavior of a smectic a dilated perpendicularly to the layers is described by a set of partial differential equations. The dynamics of the undulation instability are studied in terms of a characteristic equation of sixth degree. For the undulation to develop at a finite growth rate the dilation must exceed a positive threshold value. Above threshold the range of undamped modes is studied. The fastest growing one is dominant and its wave vector corresponds to the static threshold. A conclusion is made by some qualitative conjectures about the effects of a laminar flow, the most important being the breaking of symmetry.

UR - http://www.scopus.com/inward/record.url?scp=0020765133&partnerID=8YFLogxK

U2 - 10.1080/15421408308084271

DO - 10.1080/15421408308084271

M3 - Article

AN - SCOPUS:0020765133

SN - 0026-8941

VL - 94

SP - 383

EP - 399

JO - Molecular Crystals and Liquid Crystals

JF - Molecular Crystals and Liquid Crystals

IS - 3-4

ER -

DYNAMIC ASPECTS OF THE UNDULATION INSTABILITY IN SMECTIC A LIQUID CRYSTALS.

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this