DocumentCode
1257826
Title
Brownian motion of a charged particle in a magnetic field
Author
Lemons, Don S. ; Kaufman, David L.
Author_Institution
Dept. of Phys., Bethel Coll., North Newton, KS, USA
Volume
27
Issue
5
fYear
1999
fDate
10/1/1999 12:00:00 AM
Firstpage
1288
Lastpage
1296
Abstract
We develop and numerically illustrate an exact solution of the multivariate, stochastic, differential equations that govern the velocity and position of a charged particle in a plane normal to a uniform, stationary, magnetic field. The equations self-consistently incorporate the Lorentz force into an Ornstein-Uhlenbeck collision model. Properties of the solution in the infinite dissipation limit are explored and the spectral energy density function is found
Keywords
Brownian motion; differential equations; magnetic field effects; plasma transport processes; stochastic processes; Brownian motion; Lorentz force; Ornstein-Uhlenbeck collision model; charged particle; infinite dissipation limit; magnetic field; multivariate stochastic differential equations; numerical method; position; spectral energy density function; velocity; Brownian motion; Cyclotrons; Differential equations; Magnetic fields; Magnetic semiconductors; Magnetosphere; Physics; Plasma simulation; Semiconductor process modeling; Stochastic processes;
fLanguage
English
Journal_Title
Plasma Science, IEEE Transactions on
Publisher
ieee
ISSN
0093-3813
Type
jour
DOI
10.1109/27.799805
Filename
799805
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