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Nondiffusive fluxes in a Brownian system with Lorentz force

  • Abdoli, Iman Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, Dresden, Germany
  • Vuijk, H. D. Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, Dresden, Germany
  • Sommer, J. U. Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, Dresden, Germany - Technische Universität Dresden, Institut für Theoretische Physik, Dresden, Germany
  • Brader, Joseph M. Department de Physique, Université de Fribourg, Switzerland
  • Sharma, Abhinav Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, Dresden, Germany - Technische Universität Dresden, Institut für Theoretische Physik, Dresden, Germany
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    14.01.2020
Published in:
  • Physical Review E. - 2020, vol. 101, no. 1, p. 012120
English The Fokker-Planck equation provides a complete statistical description of a particle undergoing random motion in a solvent. In the presence of Lorentz force due to an external magnetic field, the Fokker-Planck equation picks up a tensorial coefficient, which reflects the anisotropy of the particle's motion. This tensor, however, cannot be interpreted as a diffusion tensor; there are antisymmetric terms which give rise to fluxes perpendicular to the density gradients. Here, we show that for an inhomogeneous magnetic field these nondiffusive fluxes have finite divergence and therefore affect the density evolution of the system. Only in the special cases of a uniform magnetic field or carefully chosen initial condition with the same full rotational symmetry as the magnetic field can these fluxes be ignored in the density evolution.
Faculty
Faculté des sciences et de médecine
Department
Département de Physique
Language
  • English
Classification
Physics
License
License undefined
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Persistent URL
https://folia.unifr.ch/unifr/documents/308359
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