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Experimental observation of Zipf–Mandelbrot relation

Author

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  • Kristiansen, Kai de Lange
  • Helgesen, Geir
  • Skjeltorp, Arne T.

Abstract

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.

Suggested Citation

  • Kristiansen, Kai de Lange & Helgesen, Geir & Skjeltorp, Arne T., 2004. "Experimental observation of Zipf–Mandelbrot relation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 413-420.
    • Handle: RePEc:eee:phsmap:v:335:y:2004:i:3:p:413-420
    DOI: 10.1016/j.physa.2003.12.024
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