Document Type
Article
Publication Date
5-23-1994
Publication Title
Physical Review Letters
Abstract
In nematic liquid crystals, director fluctuations correpond to the dynamical mode that is critical for all temperatures in zero external fields. The Hurst exponent characterizes the temporal behavior of the mean square displacement of director fluctuations, 〈[δn(r,t)-δn(r,0)]2〉∼t2H. We find H=1/2 in finite fields and H=3/4 in zero field. This result differs from that of Zhang et al. [Phys. Rev. Lett. 70, 1834 (1993)] who find a Hurst exponent that varies continuously from H≃1 in zero field to H≃1/2 in moderate fields.
Repository Citation
Zürcher, Ulrich, "Scaling Behavior of Fluctuations in Systems with Continuous Symmetry" (1994). Physics Faculty Publications. 278.
https://engagedscholarship.csuohio.edu/sciphysics_facpub/278
DOI
10.1103/PhysRevLett.72.3367
Version
Publisher's PDF
Publisher's Statement
©1994 American Physical Society
Volume
72
Issue
21
