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From phase space representation to amplitude equations in a pattern-forming experiment

DOI zum Zitieren dieses Dokuments: https://doi.org/10.1088/1367-2630/12/9/093037
URN to cite this document: urn:nbn:de:bvb:703-epub-3956-2

Title data

Gollwitzer, Christian ; Rehberg, Ingo ; Richter, Reinhard:
From phase space representation to amplitude equations in a pattern-forming experiment.
In: New Journal of Physics. Vol. 12 (September 2010) . - no. 093037.
ISSN 1367-2630
DOI: https://doi.org/10.1088/1367-2630/12/9/093037

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Abstract

We describe and demonstrate a method to reconstruct an amplitude equation from the nonlinear relaxation dynamics in the neighbourhood of the Rosensweig instability. A flat layer of a ferrofluid is cooled such that the liquid has a relatively high viscosity. Consequently, the dynamics of the formation of the Rosensweig pattern becomes very slow. By a sudden switching of the magnetic induction, the system is pushed to an arbitrary point in the phase space spanned by the pattern amplitude and magnetic induction. Afterwards, it is allowed to relax to its equilibrium point. From the dynamics of this relaxation, we reconstruct the underlying fully nonlinear equation of motion of the pattern amplitude. The measured nonlinear dynamics helps us to select the best weakly nonlinear expansion that describes this hysteretic transition.

Further data

Item Type: Article in a journal
Keywords: Nonlinear dynamics; Pattern formation; Spatially extended systems; Amplitude equations
DDC Subjects: 500 Science > 530 Physics
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
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-3956-2
Date Deposited: 20 Feb 2019 10:18
Last Modified: 20 Feb 2019 10:18
URI: https://epub.uni-bayreuth.de/id/eprint/3956

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