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.
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de Lange Kristiansen, K., Helgesen, G. & Skjeltorp, A. Braid theory and Zipf-Mandelbrot relation used in microparticle dynamics. Eur. Phys. J. B 51, 363–371 (2006). https://doi.org/10.1140/epjb/e2006-00241-7
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DOI: https://doi.org/10.1140/epjb/e2006-00241-7