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| Format: | Artículo científico |
| Language: | en |
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Sociedad Mexicana de Física A.C.
2006
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| Online Access: | https://www.redalyc.org/articulo.oa?id=57065612 |
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Table of Contents:
- Brownian motion of a charged particle in a magnetic field J. I. Jiménez-Aquino M. Romero-Bastida Física, Astronomía y Matemáticas (MSD) Mean Square Displacement In this work we show that Taylor´s description of Brownian motion in a magnetic field is equivalent to the situation in which the constantmagnetic field is allowed to point along any direction. This can be achieved by means of a rotation of the Langevin equation given in thespace of coordinates r, to another space of coordinates r0, where the description of the problem is quite similar to that studied by Taylor.We use the over-damping approximation to show why, at equilibrium, the oscillatory behavior inherent in the system is not reflected in thediffusion process across the magnetic field, a fact not studied by Taylor. We also use the large-time approximation to study the effects ofcolored noise (small correlation time) on the diffusion processes across and along the magnetic field. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57065612 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.52