Электронный каталог

Статья

Perepelkin, E.E.
Exact Solutions for the Relativistic Dynamics of a Self-Consistent Problem for System with Electromagnetic and Gravitational Interaction Within the Wigner-Vlasov Formalism / E.E.Perepelkin, [a.o.]. – Text : electronic // Communications in Nonlinear Science and Numerical Simulation. – 2026. – Vol. 157. – P. 109761. – URL: https://doi.org/10.1016/j.cnsns.2026.109761. – Bibliogr.: 106.

This work derives exact solutions to the problem of interacting particle density evolution in relativistic and quasi-relativistic approximations for electromagnetic and gravitational interactions. Two types of radial symmetry for the initial density distribution are considered: spherical and cylindrical. It is shown that the relativistic effect delays the onset of the shock wave moment, and in some cases removes it entirely or, conversely, can facilitate it. The analysis of the system's dynamics is carried out within the Wigner-Vlasov formalism, which makes it possible to extend the obtained solutions to quantum systems, including those with gravitational interaction. The derived exact solutions can be directly used as a cross-check for modeling and optimizing nonlinear problems of beam dynamics with account for space charge, astrophysics, plasma physics, and quantum systems with a shock wave.



Спец.(статьи,препринты) = С 326 - Квантовая теория систем из многих частиц. Квантовая статистика
Спец.(статьи,препринты) = С 325.4 - Нелинейные системы. Хаос и синергетика. Фракталы$
ОИЯИ = ОИЯИ (JINR)2026