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The grazing collision limit of Kac caricature of Bose–Einstein particles
We discuss the grazing collision limit of certain kinetic models of Bose-Einstein particles obtained from a suitable modification of the onedimensional Kac caricature of a Maxwellian gas without cut-off.We recover in the limit a nonlinear Fokker-Planck equation which presents many similarities with the one introduced by Kaniadakis and Quarati in …