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ERIC Number: EJ829050
Record Type: Journal
Publication Date: 2007-Mar
Pages: 16
Abstractor: As Provided
Reference Count: 15
ISSN: ISSN-0143-0807
Pattern-Forming Instabilities: A Phenomenological Approach through Simple Examples
Brunet, Philippe
European Journal of Physics, v28 n2 p215-230 Mar 2007
From the streets of clouds to the submarine sand ripples or the striations on the coats of some animals, nature offers many examples of spontaneous patterned structures originating from various instabilities. These patterns can in turn destabilize and show a rich, complex dynamics and possibly end up in disordered behaviours. For over 20 years, these patterns have generated much interest in the physics community, in order to approach fundamental problems such as transition to turbulence or morphogenesis in a more tractable framework. Because the study of such systems needs certain conceptual tools of nonlinear physics and stability analysis, they are generally introduced to students only in post-graduate lectures. We propose here a simplified approach of such phenomena through experimental and numerical examples that can be reproduced with a rather simple set of apparatus: a convection experiment and two gutter-like experiments where a liquid overflows from an overhang, as well as a numerical model consisting of a generic, nonlinear partial differential equation. (Contains 7 figures and 4 footnotes.)
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A