Chirkov, S. V. Ryzhkov Bauman Moscow State Technical University. 5 Second Bauman str., Moscow, 105005, Russia E-mail: alexxeich@mail.ru P. A. Bagryansky, A. V. Anikeev Budker Institute of Nuclear Physics, SB RAS. 11 Lavrent’ev av., Novosibirsk, 630090, Russia -mail: P.A.Bagryansky@inp.nsk.su Energy balance of thermonuclear axially symmetric open trap based system is analyzed. <...> The model of physical kinetics of fast particles is based on the numerical solutions of Fokker— Planck equations taking into account scattering into the loss region and fusion reaction. <...> The possibility to achieve regimes with the plasma amplification factor Qpl output regime. 1 is shown for high neutron PACS: 52.55.-s, 52.55.Jd Keywords: open trap, fast particle kinetics, Fokker—Planck equation. <...>