Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
1997-02-07
Physics
Condensed Matter
Soft Condensed Matter
10 pages plus 5 figures; Submitted to Nature; related mpeg movies will be available at http://milou.msc.cornell.edu
Scientific paper
From the striped coats of zebras to the ripples in windblown sand, the natural world abounds with locally banded patterns. Such patterns have been of great interest throughout history, and, in the last twenty years, scientists in a wide variety of fields have been studying the patterns formed in well-controlled experiments that yield enormous quantities of high-precision data. These experiments involving phenomena as diverse as chemical reactions in shallow layers, thermal convection in horizontal fluid layers, periodically shaken layers of sand, and the growth of slime mold colonies often display patterns that appear qualitatively similar. Methods are needed to characterize in a reasonable amount of time the differences and similarities in patterns that develop in different systems, as well as in patterns formed in one system for different experimental conditions. In this Letter, we introduce a novel, fast method for determining local pattern properties such as wavenumber, orientation, and curvature as a function of position for locally striped patterns.
Bodenschatz Eberhard
Egolf David A.
Melnikov Ilarion V.
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