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Summary: Dynamics of Fluctuations below a Stationary Bifurcation to Electroconvection
in the Planar Nematic Liquid Crystal N4
Xin-Liang Qiu and Guenter Ahlers
Department of Physics and iQUEST, University of California, Santa Barbara, California 93106, USA
(Received 21 September 2004; published 3 March 2005)
We fitted Ck; ; / expÿk; to time-correlation functions Ck; ; of structure factors
Sk; t; of shadowgraph images of fluctuations below a supercritical bifurcation at V0 Vc to electro-
convection of a planar nematic liquid crystal in the presence of a voltage V
2
p
V0 cos2ft [k
p; q is the wave vector and V2
0 =V2
c ÿ 1]. There were stationary oblique (normal) rolls at small
(large) f. Fits of a modified Swift-Hohenberg form to k; gave f-dependent critical behavior for the
minimum decay rates 0 and the correlation lengths p;q.
DOI: 10.1103/PhysRevLett.94.087802 PACS numbers: 05.70.Jk, 05.40.a, 45.70.Qj, 64.60.Fr
Critical opalescence is a familiar phenomenon that oc-
curs, for instance, near liquid-gas critical points and near
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