Non-linear kinetics underlying generalized statistics

  title={Non-linear kinetics underlying generalized statistics},
  author={Giorgio Kaniadakis},
The purpose of the present e0ort is threefold. Firstly, it is shown that there exists a principle, that we call kinetical interaction principle (KIP), underlying the non-linear kinetics in particle systems, independently on the picture (Kramers, Boltzmann) used to describe their time evolution. Secondly, the KIP imposes the form of the generalized entropy associated to the system and permits to obtain the particle statistical distribution, both as stationary solution of the non-linear evolution… CONTINUE READING