Correction to ``Formation of power-law energy spectra in space plasmas by stochastic acceleration due to whistler-mode waves''

Details Correction to ``Formation of power-law energy spectra in space plasmas by stochastic acceleration due to whistler-mode waves'' Correction to ``Formation of power-law energy spectra in space plasmas by stochastic acceleration due to whistler-mode waves''

Apr 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999georl..26.1121m&link_type=abstract

Geophysical Research Letters, Volume 26, Issue 8, p. 1121-1124

Physics

17

Corrections

Scientific paper

A non-relativistic Fokker-Planck equation for the electron distribution function is formulated incorporating the effects of stochastic acceleration by whistler-mode waves and Coulomb collisions. The stationary solution f to the equation, subject to a zero-flux boundary condition, is found to be a generalized Lorentzian (or kappa) distribution, which satisfies f~v-2(κ+1) for large velocity v, where κ is the spectral index. The parameter κ depends strongly on the relative wave intensity R. Taking into account the critical energy required for resonance of electrons with whistlers, we calculate a range of values of R for each of a number of different space plasmas for which kappa distributions can be expected to be formed. This study is one of the first in the literature to provide a theoretical justification for the formation of generalized Lorentzian (or kappa) particle distribution functions in space plasmas.

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