We would like to perform a theoretical investigation on the following subjects:
We are going to describe the fusion and fission processes
by an appropriate set of Langevin's equations. Our model is based on the
assumption that the collisions of heavy ions could be described within a
statistical model which takes into account the effect of energy
dissipation due to the presence of the friction forces and the
diffusion phenomena.
The corresponding transport equation of the Fokker-Planck type
was originally proposed for nuclear fission by Kramers in 1940 and
in 70-es adapted for heavy ion physics.
It was shown that the Monte Carlo calculations combined with the local
moment expansion method transforms the Fokker-Planck equations into
the set of the equations of motion with the random force
which is equivalent to the set of coupled Langevin equations.
The Langevin equation has already been used by several authors to describe
the heavy ions collisions and fission. This idea was very fruitful and
allows us to describe many phenomena occurring in heavy ions physics
due to statistical fluctuation.