PARTICLE NUMERICAL SIMULATION OF PLASMA WITH ENERGY LOSS BY RADIATION CALCULATED FROM LORENTZ-DIRAC EQUATION

In this paper is showed the way how to solve movement of electric charged particles where the energy loss by radiation is taken into account. Obviously the calculation of movement with energy loss is made by solving of relativistic or non-relativistic equation of motion. The interaction with proper electric field of the particle is added subsequently as the corrections given by statistic formulas depending on the particle concentration and on the temperature of plasma. The alternative way presented in this paper is based on solving of Lorentz-Dirac (LD) equation in which the reaction force from the radiation is included. Because of known nonuniqueness of the original LD equation, the modified LD equation based on their integro–differential form is used and this is only of the second order in comparison with the third order original LD equation. The restrictions for validity of modified LD equation are mentioned. Tests of accuracy of proposed numerical scheme under various conditions are made.