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Braid theory and Zipf-Mandelbrot relation used in microparticle dynamics

Author

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  • K. de Lange Kristiansen
  • G. Helgesen
  • A. T. Skjeltorp

Abstract

A study is presented of the dynamics of a few body system of microparticles by using rank-ordering statistics in order to gain insight in the magneto-rheological properties of ferrofluids. 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 wide power law region consistent with the Zipf-Mandelbrot relation. We have also performed numerical simulations of the experimental system which show results in agreement with the observations. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Suggested Citation

  • K. de Lange Kristiansen & G. Helgesen & A. T. Skjeltorp, 2006. "Braid theory and Zipf-Mandelbrot relation used in microparticle dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 51(3), pages 363-371, June.
    • Handle: RePEc:spr:eurphb:v:51:y:2006:i:3:p:363-371
    DOI: 10.1140/epjb/e2006-00241-7
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