Dynamic critical behavior of the Landau-Peierls fluctuations: Scaling form of the dynamic density autocorrelation function for smectic-A films

A. Poniewierski, Robert Hołyst, A. C. Price, and L. B. Sorensen
Phys. Rev. E 59, 3048 – Published 1 March 1999
PDFExport Citation

Abstract

In this paper, we study the dynamic density autocorrelation function G(r,t) for smectic-A films in the layer sliding geometry. We first postulate a scaling form for G, and then we show that our postulated scaling form holds by comparing the scaling predictions with detailed numerical calculations. We find some deviations from the scaling form only for very thin films. For thick films, we find a region of a bulklike behavior, where the dynamics is characterized by the same static critical exponent η, which was originally introduced by Caillé [C. R. Acad. Sci. Ser. B 274, 891 (1972)]. In the limit of very large distance perpendicular to the layer normal, or in the limit of very long time, we find that the decay of G is governed by the surface exponent χ=kBTqz2/(4πγ), where γ is the surface tension and the wave-vector component qz satisfies the Bragg condition. We also find an intermediate perpendicular distance regime in which the decay of G is governed by the time-dependent exponent χexp(t/τ0), where the relaxation time is given by τ0=η3(Ld)/(2γ), where η3 is the layer sliding viscosity, and Ld is the film thickness.

  • Received 17 July 1998

DOI:https://doi.org/10.1103/PhysRevE.59.3048

©1999 American Physical Society

Authors & Affiliations

A. Poniewierski and Robert Hołyst

  • Institute of Physical Chemistry and College of Science, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland

A. C. Price and L. B. Sorensen

  • Department of Physics, University of Washington, Seattle, Washington 98195

References (Subscription Required)

Click to Expand
Issue

Vol. 59, Iss. 3 — March 1999

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×