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We study the slowing down of a particle beam passing through the dusty plasma with power‐law  κ ‐distributions. Three plasma components, electrons, ions, and dust particles, can have a different  κ ‐parameter. By using Fokker‐Planck theory, the deceleration factor and slowing down time are derived and expressed by a hyper‐geometric  κ ‐function. Numerically, we study the slowing down property of an electron beam in the  κ ‐distributed dusty plasma. We show that the slowing down in the plasma depends strongly on the  κ ‐parameters of plasma components, and dust particles play a dominant role in the deceleration effects. We also show dependence of the slowing down on mass and charge of a dust particle in the kappa‐distributed plasma.

Slowing down of charged particles in dusty plasmas with power‐law kappa‐distributions