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Anomalous cross-field diffusion in a magnetic trap

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journal contribution
posted on 19.08.2015, 13:44 authored by Sergey SavelievSergey Saveliev, Fabio Marchesoni
We numerically simulated the diffusion of a charged Brownian particle confined to a plane under the action of an orthogonal magnetic field with intensity depending on the distance from a center. Despite its apparent simplicity, this system exhibits anomalous diffusion. For positive field gradients, radial and angular dynamics are asymptotically subdiffusive, with exponents given by simple analytical expressions. In contrast, when driven by a weakly decaying field, the particle attains normal diffusion only after exceedingly long superdiffusive transients. These mechanisms can be related to Bohm diffusion in magnetized plasmas.

Funding

S.E.S. acknowledges support from the Leverhulme Trust; F.M. acknowledges support from the European Commission, under the Seventh Framework Programme (256959, NanoPower).

History

School

  • Science

Department

  • Physics

Published in

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volume

90

Issue

6

Citation

SAVEL'EV, S. and MARCHESONI, F., 2014. Anomalous cross-field diffusion in a magnetic trap. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 90 (6), 062117.

Publisher

© American Physical Society

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2014

Notes

This article was published in the journal, Physical Review E [© The American Physical Society].

ISSN

1539-3755

eISSN

1550-2376

Language

en

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