Brownian motion across a magnetic field: Langevin approach revisited.

Autor: N Lucero-Azuara, N Sánchez-Salas, J I Jiménez-Aquino
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Zdroj: European Journal of Physics; May2020, Vol. 41 Issue 3, p1-1, 1p
Abstrakt: In this work we present Langevin’s original method to study the Brownian motion of a charged particle across a constant magnetic field. Langevin’s strategy allows one to transform the Langevin equation into a deterministic one associated with mean square displacement (MSD), whose solution is explicitly studied in this work. We calculate the MSD for the z-axis, along which the magnetic field is allowed to point: in this direction, the solution is exactly the same proposed by Langevin, while in the x–y plane orthogonal to the magnetic field the solution for the MSD is obtained with the validity of the Bohr–van Leuuwen theorem in thermal equilibrium. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index