Deviations from Linear Theory for Fluctuations below the Supercritical Primary Bifurcation to Electroconvection

URN to cite this document: urn:nbn:de:bvb:703-epub-4034-1

Title data

Scherer, Michael A. ; Ahlers, Guenter ; Hörner, Frank ; Rehberg, Ingo:
Deviations from Linear Theory for Fluctuations below the Supercritical Primary Bifurcation to Electroconvection.
In: Physical Review Letters. Vol. 85 (October 2000) Issue 18 . - pp. 3754-3757.
ISSN 1079-7114
DOI der Verlagsversion: https://doi.org/10.1103/PhysRevLett.85.3754

Format: PDF Name: PhysRevLett.85.3754.pdf Version: Published Version Available under License German copyright law. This contribution is freely accessible with the consent of the copyright holder on the basis of an (DFG-funded) alliance or national license. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.

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Abstract

Over two decades ago it was predicted that nonlinear interactions between thermally driven fluctuations in dissipative nonlinear nonequilibrium systems lead to deviations from mean-field theory. Here we report experimental observations of such deviations as a supercritical primary bifurcation is approached. We measured the mean-square director-angle fluctuations ‹θ²› below the bifurcation to electroconvection of two different nematic liquid crystals. For ε{mf}≡V²/V{c,mf}² - 1 ≲ - 0.1 (V is the applied voltage) we find ‹θ²› α|ε{mf}|⁻γ with γ given by linear theory (LT). Closer to the bifurcation there are deviations from LT with a smaller γ and with V² > V{c,mf}².

Further data

Item Type:	Article in a journal
Additional notes (visible to public):	Quelle der Zweitveröffentlichung: Physical Review Letters 85:18, American Physical Society doi:10.1103/PhysRevLett.85.3754
Keywords:	Critical point phenomena; Fluctuation phenomena, random processes, noise, and Brownian motion; Pattern formation; Equilibrium properties near critical points, critical exponents
DDC Subjects:	500 Science > 530 Physics
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Former Professors > Chair Experimental Physics V - Univ.-Prof. Dr. Ingo Rehberg Profile Fields > Advanced Fields > Nonlinear Dynamics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics V Profile Fields Profile Fields > Advanced Fields Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Former Professors
Language:	English
Originates at UBT:	No
URN:	urn:nbn:de:bvb:703-epub-4034-1
Date Deposited:	22 Feb 2019 10:15
Last Modified:	06 Jul 2020 10:45
URI:	https://epub.uni-bayreuth.de/id/eprint/4034

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