Brownian motion of charged particles in a magnetic field
Karmeshu
Abstract
Karmeshu
Abstract
The Brownian motion of charged particles in the presence of a magnetic field is studied on the basis of the generalized Langevin equation including a finite relaxation time of the random force. It is found that the introduction of a finite relaxation time for the random force correlation inhibits diffusion although the form of the diffusion coefficient is unaltered and the elements of the velocity autocorrelation matrix depict damped oscillatory behavior.
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The Brownian motion of charged particles in the presence of a magnetic field is studied on the basis of the generalized Langevin equation including a finite relaxation time of the random force. It is found that the introduction of a finite relaxation time for the random force correlation inhibits diffusion although the form of the diffusion coefficient is unaltered and the elements of the velocity autocorrelation matrix depict damped oscillatory behavior.
Key concepts: Brownian motion, Langevin equation, Physics, Autocorrelation, Diffusion, Autocorrelation matrix, Magnetic field, Brownian dynamics