Abstract
The density fluctuation in a nonextensive reaction–diffusion system is investigated, where the nonequilibrium stationary-state distribution is described by the generalized Maxwell–Boltzmann distribution in the framework of Tsallis statistics (or nonextensive statistics). By using the density operator technique, the nonextensive pressure effect is introduced into the master equation and thus the generalized master equation is derived for the system. As an example, we take the3He reaction–diffusion model inside stars to analyse the nonextensive effect on the density fluctuation and we find that the nonextensive parameter q different from one plays a very important role in determining the characteristics of the fluctuation waves.
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