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

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: https://doi.org/10.1103/PhysRevLett.85.3754

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Abstract in another language

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
Refereed: Yes
Keywords: Critical point phenomena; Fluctuation phenomena, random processes, noise, and Brownian motion; Pattern formation; Equilibrium properties near critical points, critical exponents
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics V > 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
Result of work at the UBT: No
DDC Subjects: 500 Science > 530 Physics
Date Deposited: 08 Oct 2018 08:49
Last Modified: 22 Feb 2019 10:12
URI: https://eref.uni-bayreuth.de/id/eprint/42997