Finding the particles distribution function based on the Fokker — Planck equation for the laser plasma

Authors: Savelyev T.A., Savritskiy A.N., Nazaryan A.M.
Published in issue: #10(87)/2023
DOI: 10.18698/2541-8009-2023-10-944
Category: Physics | Chapter: Plasma physics
Keywords: laser plasma, electron and ion acceleration, particles collisions, particles interaction, distribution functions, Fokker — Planck equation, Rosenbluth — Trubnikov potentials, aircraft
Published: 06.12.2023

With high laser intensities of more than 1016–1018 W/cm2, it is necessary to take into account the relativistic effects, since the energy of electrons oscillating in the laser radiation field is comparable to the relativistic energies. The fast particles distribution function could be obtained by solving the Fokker — Planck equation. Since distribution function of the plasma particles in a laser plume is close to the Maxwellian, the Rosenbluth — Trubnikov potentials were used to describe the diffusion and friction coefficients in the Fokker — Planck equation. Features of the Fokker — Planck equation were considered, and a unique solution to the compiled system of equations was obtained.

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