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Título: Brownian motion in a magnetic field and in the presence of additional external forces
Palabras clave: (FP) Fokker-Planck
(FPK) Fokker-Planck-Kramers
Fecha de publicación: 31-Jul-2012
Editorial: Revista mexicana de física E
Descripción: Our purpose in this paper is to solve exactly the Fokker-Planck-Kramers equation of a charged particle (heavy-ion) embedded in a fluid and under the influence of mechanical and electromagnetic forces. In this work the magnetic field is assumed to be constant and pointing along any direction of a Cartesian reference frame; the mechanical and electrical forces are both space-independent, but in general time-dependent. Our proposal relies upon two transformations of the Langevin equation associated with the charged particle's phase-space (r, u). The first one is a fixed rotation which transforms the (r, u)-coordinates into other (r', u')-coordinates, and makes it possible to re-orientate the magnetic field along an appropriate direction (say along the z'-axis). The second one is a time-dependent rotation which transforms the (r', u')-coordinates into other (r", u")-coordinates, in which the resulting Langevin equation strongly resembles that of ordinary Brownian motion in the presence of external forces. Under these circumstances, the Fokker-Planck-Kramers equation can immediately be solved in the (r", u") phase-space, following our methodology developed in Ref. [Phys. Rev. E 76 (2007) 021106]
Other Identifiers: http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1870-35422008000100013
Aparece en las Colecciones:Revista Mexicana de Física E

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