Charged particle diffusion in the presence of Alfven waves - The perpendicular particle flux

Astronomy and Astrophysics – Astrophysics

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Charged Particles, Magnetohydrodynamic Waves, Particle Diffusion, Particle Flux Density, Plasma-Electromagnetic Interaction, Stochastic Processes, Diffusion Theory, Electromagnetic Fields, Fokker-Planck Equation, Magnetic Fields, Plasma Diffusion, Random Walk

Scientific paper

The diffusion of charged particles through a weak stochastic electro-magnetic field which is superimposed on a constant background magnetic field B0i~ is considered. The stochastic electro- magnetic fields are assumed to consist of unpolarized Alfvén waves propagating at arbitrary angles to the direction i When the Alfvén waves are propagating in directions other than k and the particle gyro-radius, rg, is sufficiently large (but may be smaller than the correlation length of the stochastic fields) it is shown that the particle flux perpendicular to the direction k is S1= - K1(Vf)1+ ~vrgk X Vf, where v is the particle speed and f the particle density. The expression for ICI differs from those cal- culated by previous authors. For small particle gyro-radii the flux S~ has a different functional form and is identical to that found by Urch (1977) to describe particle diffusion when the Affvén waves only propagate in the direction k

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