Prof.  Du  Jiulin
Tianjin University,  China

Title: Stochastic dynamical theory for the astrophysical complex systems with power-law distributions

Abstract:

The stochastic dynamical theory for the astrophysical complex systems with power-law distributions is introduced by means of using Langevin equations with an inhomogeneous friction and noise as well as the corresponding Fokker-Planck equations. The power-law distributions and the generalized fluctuation-dissipation relation under which these distributions can be generated in a complex system away from equilibrium are discussed. And simultaneously, the Klein-Kramers equation and the Smoluchowski equation are generalized to the complex dynamical systems with the solutions of power-law distributions. The numerical analyses have shown the power-law distributions all excellently fitting with the solutions of the dynamics of the Langevin equations.

Biography: