Effect of Magnetic Field on the Fluctuations of Charged Oscillators in Viscoelastic Fluids

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

Abstracts

EN

In the present work the generalized Langevin equation is solved for the motion of a charged Brownian oscillator in a magnetic field, when the thermal random force is exponentially correlated in the time. This model is consistent with the assumption that the medium has weakly viscoelastic properties. The velocity autocorrelation function, time-dependent diffusion coefficient and mean square displacement of the particle have been calculated. Our solutions generalize the previous results from the literature and are obtained in a way applicable to other problems of the Brownian motion with memory.

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: 2014
• Volume: 126
• Issue: 1
• Pages: 413-414

Dates

published

2014-07

Contributors

author

V. Lisý

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

author

J. Tóthová

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

References

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Identifiers

DOI

10.12693/APhysPolA.126.413