Fluctuating hydrodynamics of smectic-A liquid crystals

Scott Thomas Milner, Paul C. Martin

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

In addition to bulk viscosities that diverge as 1/, Mazenko, Ramaswamy, and Toner have predicted that smectic-A liquid crystals will have shear viscosities with (1) divergent real parts implying no flow below a minimum yield stress and (2) divergent imaginary parts implying glassy behavior. In this Letter it is shown that smectic-A liquid crystals are neither Bingham plastics nor glasses. The finiteness of 2 to all orders of perturbation theory is proven, and the relevant cancellations to one-loop order are displayed.

Original languageEnglish (US)
Pages (from-to)77-80
Number of pages4
JournalPhysical Review Letters
Volume56
Issue number1
DOIs
StatePublished - Jan 1 1986

Fingerprint

liquid crystals
hydrodynamics
viscosity
cancellation
plastics
perturbation theory
shear
glass

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

@article{ab94a158aaf74184847ed0cf0404b837,
title = "Fluctuating hydrodynamics of smectic-A liquid crystals",
abstract = "In addition to bulk viscosities that diverge as 1/, Mazenko, Ramaswamy, and Toner have predicted that smectic-A liquid crystals will have shear viscosities with (1) divergent real parts implying no flow below a minimum yield stress and (2) divergent imaginary parts implying glassy behavior. In this Letter it is shown that smectic-A liquid crystals are neither Bingham plastics nor glasses. The finiteness of 2 to all orders of perturbation theory is proven, and the relevant cancellations to one-loop order are displayed.",
author = "Milner, {Scott Thomas} and Martin, {Paul C.}",
year = "1986",
month = "1",
day = "1",
doi = "10.1103/PhysRevLett.56.77",
language = "English (US)",
volume = "56",
pages = "77--80",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "1",

}

Fluctuating hydrodynamics of smectic-A liquid crystals. / Milner, Scott Thomas; Martin, Paul C.

In: Physical Review Letters, Vol. 56, No. 1, 01.01.1986, p. 77-80.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Fluctuating hydrodynamics of smectic-A liquid crystals

AU - Milner, Scott Thomas

AU - Martin, Paul C.

PY - 1986/1/1

Y1 - 1986/1/1

N2 - In addition to bulk viscosities that diverge as 1/, Mazenko, Ramaswamy, and Toner have predicted that smectic-A liquid crystals will have shear viscosities with (1) divergent real parts implying no flow below a minimum yield stress and (2) divergent imaginary parts implying glassy behavior. In this Letter it is shown that smectic-A liquid crystals are neither Bingham plastics nor glasses. The finiteness of 2 to all orders of perturbation theory is proven, and the relevant cancellations to one-loop order are displayed.

AB - In addition to bulk viscosities that diverge as 1/, Mazenko, Ramaswamy, and Toner have predicted that smectic-A liquid crystals will have shear viscosities with (1) divergent real parts implying no flow below a minimum yield stress and (2) divergent imaginary parts implying glassy behavior. In this Letter it is shown that smectic-A liquid crystals are neither Bingham plastics nor glasses. The finiteness of 2 to all orders of perturbation theory is proven, and the relevant cancellations to one-loop order are displayed.

UR - http://www.scopus.com/inward/record.url?scp=4244108407&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4244108407&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.56.77

DO - 10.1103/PhysRevLett.56.77

M3 - Article

C2 - 10032533

AN - SCOPUS:4244108407

VL - 56

SP - 77

EP - 80

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 1

ER -