On generating kappa-like distribution functions using velocity space Levy flights

Mathematics – Probability

Scientific paper

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Particle Motion, Plasma Diffusion, Probability Distribution Functions, Space Plasmas, Integral Equations, Maxwell-Boltzmann Density Function, Random Walk, Taylor Series

Scientific paper

A process is proposed that produces kappalike distributions, namely,
Maxwellian at low velocities with a power-law tail at high velocities,
as they converge towards Maxwellian. The power-law or Levy flight model
and properties of the distribution function are discussed.

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