  On the basis of the quantum q-oscillator algebra in the framework of quantum
groups and non-commutative q-differential calculus, we investigate a possible
q-deformation of the classical Poisson bracket in order to extend a generalized
q-deformed dynamics in the classical regime. In this framework, classical
q-deformed kinetic equations, Kramers and Fokker-Planck equations, are also
studied.
  Pacs: 05.20.Dd, 45.20.-d, 02.20.Uw
  Keywords: Kinetic theory, q-deformed classical mechanics, quantum groups,
quantum algebras
