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Article
Scaling Behavior of Fluctuations in Systems with Continuous Symmetry
Physical Review Letters
  • Ulrich Zürcher, Cleveland State University
Document Type
Article
Publication Date
5-23-1994
Disciplines
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.

DOI
10.1103/PhysRevLett.72.3367
Version
Publisher's PDF
Citation Information
Ulrich Zürcher. "Scaling Behavior of Fluctuations in Systems with Continuous Symmetry" Physical Review Letters Vol. 72 Iss. 21 (1994) p. 3367
Available at: http://works.bepress.com/ulrich_zurcher/30/