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Kramers equation for a charged Brownian particle: The exact solution

Author

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  • Simões, Tania P.
  • Lagos, Roberto E.

Abstract

We report the exact fundamental solution for Kramers equation associated to a Brownian gas of charged particles, under the influence of homogeneous (spatially uniform) otherwise arbitrary, external mechanical, electrical and magnetic fields. Some applications are presented, namely the hydrothermodynamical picture for Brownian motion in the long-time regime.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:355:y:2005:i:2:p:274-282
    DOI: 10.1016/j.physa.2005.03.034
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    Cited by:

    1. 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).
    2. Contreras-Vergara, O. & Lucero-Azuara, N. & Sánchez-Salas, N. & Jiménez-Aquino, J.I., 2021. "Langevin original approach and Ornstein–Uhlenbeck-type processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    3. Tóthová, Jana & Lisý, Vladimír, 2020. "Brownian motion in a gas of charged particles under the influence of a magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).

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