PhysRevE.90.062117.pdf (1.58 MB)
Anomalous cross-field diffusion in a magnetic trap
journal contribution
posted on 2015-08-19, 13:44 authored by Sergey SavelievSergey Saveliev, Fabio MarchesoniWe 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 PhysicsVolume
90Issue
6Citation
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 SocietyVersion
- 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
2014Notes
This article was published in the journal, Physical Review E [© The American Physical Society].ISSN
1539-3755eISSN
1550-2376Publisher version
Language
- en