Evolution of complex nonequilibrium systems based on nonextensive statistical mechanics ?

摘要

We propose the Tsallis entropy to describe an evolution of non-equilibrium systems based on the Speed-Gradient (SG) principle. We have derived new equations which describe evolution of the system. We assume that parameter q in the Tsallis entropy is evolving in time and use q(t) as a controlling parameter of the SG-principle. These equations allow forecasting the direction of evolution of the system.