THE LANGEVIN AND FOKKER-PLANCK EQUATIONS IN THE FRAMEWORK OF A GENERALIZED STATISTICAL-MECHANICS

We introduce generalized Langevin and Fokker-Planck equations that have as stationary solution the distribution introduced by Tsallis in the framework of a generalized statistical mechanics. We show that the Langevin and Fokker-Planck equations preserve the classic form provided we define a suitable generalized potential. As a by-product we obtain one of the famous Einstein relations for the Brownian motion.