A consistent approach for the treatment of Fermi acceleration in time-dependent billiards.

  title={A consistent approach for the treatment of Fermi acceleration in time-dependent billiards.},
  author={Alexandros K. Karlis and Fotis K. Diakonos and Vassilios Constantoudis},
  volume={22 2},
The standard description of Fermi acceleration, developing in a class of time-dependent billiards, is given in terms of a diffusion process taking place in momentum space. Within this framework, the evolution of the probability density function (PDF) of the magnitude of particle velocities as a function of the number of collisions n is determined by the Fokker-Planck equation (FPE). In the literature, the FPE is constructed by identifying the transport coefficients with the ensemble averages of… 

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