Test for Determining a Subdiffusive Model in Ergodic Systems from Single Trajectories

Yasmine Meroz, Igor M. Sokolov, and Joseph Klafter
Phys. Rev. Lett. 110, 090601 – Published 25 February 2013
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Abstract

Experiments on particle motion show that it is often subdiffusive. This subdiffusion may be due to trapping, percolationlike structures, or viscoelastic behavior of the medium. While the models based on trapping (leading to continuous-time random walks) can easily be distinguished from the rest by testing their nonergodicity, the latter two cases are harder to distinguish. We propose a statistical test for distinguishing between these two based on the space-filling properties of trajectories, and prove its feasibility and specificity using synthetic data. We moreover present a flow chart for making a decision on a type of subdiffusion for a broader class of models.

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  • Received 16 May 2012

DOI:https://doi.org/10.1103/PhysRevLett.110.090601

© 2013 American Physical Society

Authors & Affiliations

Yasmine Meroz1,2,*, Igor M. Sokolov3, and Joseph Klafter1

  • 1School of Chemistry, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel
  • 2Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel
  • 3Institut für Physik, Humboldt-Universität zu Berlin, Newtonstrasse 15, D-12489 Berlin, Germany

  • *yasmine.meroz@weizmann.ac.il

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Issue

Vol. 110, Iss. 9 — 1 March 2013

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