Experimental observation of Zipf–Mandelbrot relation

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• 作者：Kristiansen ; Kai de Lange ; Helgesen ; Geir ; Skjeltorp ; Arne T.
• 关键词：05.45.&minus ; a ; 75.50.Mm ; 83.10.Pp ; 02.10.Kn ; Microparticle dynamics ; Rank-ordering statistics ; Braid theory ; Zipf&ndash ; Mandelbrot relation
• 刊名：Physica A
• 出版年：2004
• 出版时间：April 15, 2004
• 年：2004
• 卷：335
• 期：3-4
• 页码：413-420
• 全文大小：314 K

文摘

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.