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The two dimensional Fokker Planck equation is used to describe the time evolution of energetic beam of ions under the effect of dynamical friction and diffusion in velocity space, in a background plasma. The equation is simulated using the Fokker Planck package (FPPAC 81) to obtain the slowing down distribution function for energetic alpha particles which are produced continuously during deuterium-tritium fusion. The effect of varying the temperature for a given injection current which is taken to be a function of the reaction rate of the D-T fusion was studied. It was found that as the temperature increases from 10-20keV, the population of low energy particles decreases while that of high energy particles increases. The slowdown of alpha particles energy with time was faster as the temperature of the plasma increases. The energy increment of the D-T plasma and the electrons as the result of alpha particle heating was computed using the subroutine ENTRNS(k) in the FPPAC. The slowing down of the energetic alpha particle with time and the energy increment given to the plasma was found to be in good comparisons to that of a 180 keV deuterium beam in a 5keV tritium plasma from literature. The energy increment for the plasma deuterium and tritium was found to decrease with temperature due to decrease in dynamical friction as a result of increase in the critical energy Wc .

iosr journal of applied physics

The simulation of a two Dimensional Fokker Planck Equation for an Energetic Alpha Particle Beam in a Deuterium-Tritium Plasma using the Fokker Planck Package (FPPAC 81)