Experimental observation of Zipf–Mandelbrot relation
We study the dynamics of a few-body system of microparticles using rank-ordering statistics. This dynamical system is made up of micrometer sized plastic spheres dispersed in a ferrofluid driven by external magnetic fields. The world lines of the microspheres are captured and the dynamical modes are described by mathematical braid theory. Rank-ordering statistics on these modes shows a large power-law region consistent with the Zipf–Mandelbrot relation.
Year of publication: |
2004
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Authors: | Kristiansen, Kai de Lange ; Helgesen, Geir ; Skjeltorp, Arne T. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 335.2004, 3, p. 413-420
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Publisher: |
Elsevier |
Subject: | Microparticle dynamics | Rank-ordering statistics | Braid theory | Zipf–Mandelbrot relation |
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