MODELS OF PARTICLE ENERGY DISTRIBUTION EVOLUTION IN THE VELOCITY SPACE

Zhuravlev Viktor Mikhailovich, Doctor of Science (in Physics), professor, sub-department of theoretical physics,
Ulyanovsk State University
Orishchenko Alexey Vasilyevich, PhD in Physics, associate professor, sub-department of physics, Ulyanovsk State University(Dimitrovgrad sub-department)
Letunovskiy Sergey Vladimirovich, post-graduate student, Ulyanovsk State University (Dimitrovgrad sub-department)
Avdonin Vasiliy Vyacheslavovich, junior scientific researcher, Joint Stock Company “State Scientific Center Research Institute of Atomic Reactors” (Dimitrovgrad)

533.933; 533.932

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.

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