The paper describes the evolution of collisionless electron-proton plasma in a self-consistent approximation, moving initially as a “rigid body” in a vacuum with velocity 0,99999c. The behavior of a dynamical system is examined for 3D model based on solution of Vlasov-Maxwell equations taking into account the retarded potentials. It is shown that the solving of the problem incorrectly analyze in the “center of mass system” for plasmoid (due to the inability to correct definitions for interacting through the electromagnetic field of relativistic plasma), and it is necessary go to the laboratory frame of reference. In the process, the generation of chaotic solutions of the electromagnetic field of the plasma particles, resulting in a significant change in the distribution function of particles in the phase space, differing from the Maxwell-Juttner form. During the calculations found that the kinetic energy of electron and proton components and energy of self-consistent electromagnetic field aligned. There is a tendency to isotropisation of momenta distribution of the particles along the primary direction of motion of the plasmoid.

ultrarelativistic particles, self-consistent field, distribution function, electron-proton plasma, Vlasov-Maxwell equations, equipartition of energy, Hurst index

Mathematical modelling in actual problems of science and technics

Chechetkin Valery Mihailovich,  ,  orcid.org/0000-0002-9534-0475,  KIAM RAS

Dyachenko Vladimir Fedotovich,  ,  KIAM RAS

Ginzburg Sarra Lazarevna,  ,  KIAM RAS

Orlov Yurii Nikolaevich,  ,  orcid.org/0000-0002-1356-5137,  KIAM RAS

Fimin Nikolay Nikolaevich,  ,  orcid.org/0000-0003-2629-5380,  KIAM RAS