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Face of Tobias Ambjörnsson. Photo.

Tobias Ambjörnsson

Senior lecturer

Face of Tobias Ambjörnsson. Photo.

Foundation of fractional Langevin equation: Harmonization of a many-body problem

Author

  • Ludvig Lizana
  • Tobias Ambjörnsson
  • Alessandro Taloni
  • Eli Barkai
  • Michael A. Lomholt

Summary, in English

In this study we derive a single-particle equation of motion, from first principles, starting out with a microscopic description of a tracer particle in a one-dimensional many-particle system with a general two-body interaction potential. Using a harmonization technique, we show that the resulting dynamical equation belongs to the class of fractional Langevin equations, a stochastic framework which has been proposed in a large body of works as a means of describing anomalous dynamics. Our work sheds light on the fundamental assumptions of these phenomenological models and a relation derived by Kollmann.

Department/s

  • Computational Biology and Biological Physics

Publishing year

2010

Language

English

Publication/Series

Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

Volume

81

Issue

5

Document type

Journal article

Publisher

American Physical Society

Topic

  • Biophysics

Status

Published

ISBN/ISSN/Other

  • ISSN: 1539-3755