Smectics <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>A</mi></math></span> and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>C</mi></math></span> Are Always Glasses

Sriraṁ Ramaswamy; John Toner

doi:10.1103/PhysRevLett.53.477

Smectics $A$ and $C$ Are Always Glasses

Sriraṁ Ramaswamy and John Toner

Phys. Rev. Lett. 53, 477 – Published 30 July 1984; Erratum Phys. Rev. Lett. 53, 1300 (1984)

Abstract

Smectics $A$ and $C$ , tilted discotics, and the smectic- $\tilde{C}$ phase are shown to have finite shear moduli for shears applied in directions which have no translational order (liquid directions): This is the signature of a glass. This modulus is generated purely by dynamical fluctuation effects. It leads in smectics $A$ and $C$ to a violation of the basic rule of conventional hydrodynamics which asserts the equality of the numbers of hydrodynamic modes and fields.

Received 18 April 1984

DOI:https://doi.org/10.1103/PhysRevLett.53.477

Erratum

Smectics $A$ and $C$ Are Always Glasses

Sriram Ramaswamy and John Toner

Phys. Rev. Lett. 53, 1300 (1984)

Authors & Affiliations

Sriraṁ Ramaswamy^*

Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, and The James Franck Institute and the Department of Physics, University of Chicago, Chicago, Illinois 60637

John Toner