Brownian motion of a charged particle in a magnetic field |
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Authors: | Lemons D.S. Kaufman D.L. |
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Affiliation: | Dept. of Phys., Bethel Coll., North Newton, KS ; |
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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 |
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