V. M. Zhuravlev, A. V. Orishchenko, S. V. Letunovskiy, V. V. Avdonin, “Models of the evolution of the energy distribution of particles in the velocity space”, University proceedings. Volga region. Physical and mathematical sciences, 2009, Issue 1,Pages <nobr>121

Physics

Models of the evolution of the energy distribution of particles in the velocity space

V. M. Zhuravlev^a, A. V. Orishchenko^b, S. V. Letunovskiy^b, V. V. Avdonin^c

^a Ulyanovsk State University, Ulyanovsk
^b Ulyanovsk State University (Dimitrovgrad sub-department)
^c Joint Stock Company State Scientific Center Research Institute of Atomic Reactors, Dimitrovgrad

Abstract: We advise to use the precision result of Fokker-Plank equation for describing evolution of particles distribution function in velocity space. In solution we take into account the effects of coulomb deceleration and interaction of particles of plasma with ion-acoustic turbulence. The mathematic model method is based on transforming Fokker-Plank equation to equation like Shredinger equation using some special substitution for variables in Fokker-Plank equation, and based on use ladder operator method to solve it.

Keywords: Fokker-Plank equation, diffusion in velocity space, plasma, solar flare, ionacoustic turbulence, ladder operators.

UDC: 533.933; 533.932