Generalized Stosszahlansatz and associated H-theorem in nonextensive statistical mechanics

Nonextensive statistical mechanics based on the maximum Tsallis entropy principle and its physical backgrounds are summarized. The Boltzmann equation with a generalized form of Stosszahlansatz and the associated H-theorem are proposed and analyzed in order to examine if relaxation of a nonextensive system to the maximum Tsallis entropy state can be kinetically described.