Phys. Rev. Lett. 75, 3281–3284 (1995)An Invariant Measure of Disorder in PatternsReceived 3 May 1995; published in the issue dated 30 October 1995 An invariant measure is introduced to quantify the disorder in extended locally striped patterns. The measure is invariant under Euclidean motions of the pattern, and vanishes for a uniform array of stripes. Irregularities such as point defects and domain walls make nonzero contributions to the measure. Analysis of patterns generated in a reaction-diffusion system suggests two additional properties of the measure: (1) Apart from small fluctuations, it is invariant for distinct patterns generated at fixed control parameters. (2) It exhibits a jump at the onset of pattern dynamics. © 1995 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.75.3281
DOI:
10.1103/PhysRevLett.75.3281
PACS:
47.54.+r, 47.20.Hw, 47.20.Ky, 82.40.Bj
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