Hydrodynamic Memory in the Motion of Charged Brownian Particles across the Magnetic Field

• Authors: J. Tóthová , V. Lisý
• Languages of publication: EN

Abstracts

EN

An exact solution of the Langevin equation is given for a charged Brownian particle driven in an incompressible fluid by the magnetic field, taking into account the hydrodynamic aftereffect. The stochastic integro-differential Langevin equation is converted to a deterministic equation for the particle mean square displacement. We have found the mean square displacement and other time correlation functions describing the particle motion. For the motion along the field the known results from the theory of the hydrodynamic motion of a free Brownian particle are recovered. The correlation functions across the field contain at long times the familiar Einstein terms and additional algebraic tails. The longest-lived tail in the mean square displacement is proportional to t^{1/2}. At short times the motion is ballistic and independent of the magnetic field.

Keywords

EN

05.40.Jc; 05.10.Gg; 75.47.-m; 82.70.Dd

Discipline

• 75.47.-m: Magnetotransport phenomena; materials for magnetotransport(for spintronics, see 85.75.-d; see also 72.25.-b Spin polarized transport; 72.15.Gd Galvanomagnetic and other magnetotransport effects; for magnetotransport effects in thin films, see 73.50.Jt; see also 73.43.Qt Magnetoresistance)
• 82.70.Dd: Colloids
• 05.10.Gg: Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
• 05.40.Jc: Brownian motion

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2010
• Volume: 118
• Issue: 5
• Pages: 1051-1053

Dates

published

2010-11

Contributors

author

J. Tóthová

• Department of Physics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Park Komenského 2, 042 00 Košice, Slovakia

author

V. Lisý

• Department of Physics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Park Komenského 2, 042 00 Košice, Slovakia

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Identifiers

DOI

10.12693/APhysPolA.118.1051