Department of Physics Papers

Document Type

Journal Article

Date of this Version

9-3-2008

Comments

Suggested Citation:
O. Stenull. (2008). "Anomalous elasticity in nematic and smectic elastomer tubule phases." Physical Review E. 78, 031704.

© 2008 The American Physical Society
http://dx.doi.org/10.1103/PhysRevE.78.031704.

Abstract

We study anomalous elasticity in the tubule phases of nematic and smectic elastomer membranes, which are flat in one direction and crumpled in another. These phases share the same macroscopic symmetry properties including spontaneously broken in-plane isotropy and hence belong to the same universality class. Below an upper critical value Dc=3 of the membranes’ intrinsic dimension D, thermal fluctuations renormalize the elasticity with respect to elastic displacements along the tubule axis so that elastic moduli for compression along the tubule axis and for bending the tubule axis become length-scale dependent. This anomalous elasticity belongs to the same universality class as that of d-dimensional conventional smectic liquid crystals with D taking on the role of d. For physical tubule phases, D=2, this anomaly is of power-law type and thus might by easier to detect experimentally than the logarithmic anomaly in conventional smectics.

Date Posted: 13 January 2011

This document has been peer reviewed.