In this paper the cycle of muon catalyzed fusion processes has been simulated using Monte-Carlo methods. This simulation starts when muon enters the D/T mixture and follows the actual trajectories of the muonic atoms among the proceeding collisions, by using their cross sections. For this purpose a computer code has been written by Fortran language. The time dependence of the processes is take into account and the time spectrum of the events in the μCF cycle has been obtained. The time spectrum of neutrons created in fusion and energy spectrum of muonic atoms have been calculated. One can obtain more detailed information such as fusion yield per muon (χ), cycling rate (λc) and total sticking coefficient W, for various hydrogen isotopic concentrations, by expending the Monte-Carlo simulation. Results has been compared with some experimental data and the other calculation methods.


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