A SET OF STATIONARY NON-MAXWELLIAN DISTRIBUTIONS

We propose a set of distribution functions, stationary solutions of a Fokker-Planck equation, the frictional and diffusion coefficients having been expanded in a polynomial series with positive coefficients. These distributions show tails depleted or increased with respect to the Maxwellian distribution, which can, in any case, be recovered if the coefficients of the expansion satisfy particular conditions. The stationary non-Maxwellian distributions derived in this paper can be used in the calculations of rates in many different fields of physics where problems still have to be solved.