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Brownian motion of charged particle in oblique electric and magnetic fields with frictional anisotropy

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  • Butanas, Bienvenido M.
  • Esguerra, Jose Perico H.

Abstract

The Brownian motion of charged particles in oblique electric and magnetic fields with frictional anisotropy is studied for the first time using the white noise functional approach. We obtain the following exact expressions: velocity-space and configuration-space probability density functions, mean square deviations for velocity and displacement, and diffusion coefficients. We investigate the effect of the frictional interaction parameters, Γx (or Γy), on the trajectory of the mean position, and the diffusion coefficients along the x- and y-directions for different values of electric and magnetic field strength.

Suggested Citation

  • Butanas, Bienvenido M. & Esguerra, Jose Perico H., 2022. "Brownian motion of charged particle in oblique electric and magnetic fields with frictional anisotropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    • Handle: RePEc:eee:phsmap:v:605:y:2022:i:c:s0378437122005982
    DOI: 10.1016/j.physa.2022.127943
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    References listed on IDEAS

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    1. de Falco, Diego & Khandekar, Dinkar C., 1988. "Applications of white noise calculus to the computation of Feynman integrals," Stochastic Processes and their Applications, Elsevier, vol. 29(2), pages 257-266, September.
    2. Simões, Tania P. & Lagos, Roberto E., 2005. "Kramers equation for a charged Brownian particle: The exact solution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 274-282.
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