A new form of Tsallis distribution based on the probabilistically independent postulate

doi:10.1088/1674-1056/19/7/070501

摘要/Abstract

摘要： The current form of Tsallis distribution for a Hamiltonian system with an arbitrary potential is found to represent a simple isothermal situation. This paper finds that the q-exponential of a sum can be applied as the product of the q-exponential based on the probabilistically independent postulate employed in nonextensive statistical mechanics. Under this framework, a new form of Tsallis distribution is suggested. It shows that the new form of Tsallis distribution can supply the statistical description for the nonequilibrium dynamical property of the Hamiltonian system governed by an arbitrary potential, and it is found to be one potential statistical distribution for the dark matter.

Abstract: The current form of Tsallis distribution for a Hamiltonian system with an arbitrary potential is found to represent a simple isothermal situation. This paper finds that the q-exponential of a sum can be applied as the product of the q-exponential based on the probabilistically independent postulate employed in nonextensive statistical mechanics. Under this framework, a new form of Tsallis distribution is suggested. It shows that the new form of Tsallis distribution can supply the statistical description for the nonequilibrium dynamical property of the Hamiltonian system governed by an arbitrary potential, and it is found to be one potential statistical distribution for the dark matter.

Key words: nonextensive statistics, Tsallis distribution, nonequilibrium dynamics, Fokker--Planck equation

中图分类号: (Distribution theory and Monte Carlo studies)

02.50.Ng

02.50.Cw (Probability theory) 05.20.-y (Classical statistical mechanics) 95.35.+d (Dark matter)

杜九林. A new form of Tsallis distribution based on the probabilistically independent postulate[J]. 中国物理B, 2010, 19(7): 70501-070501.

Du Jiu-Lin(杜九林). A new form of Tsallis distribution based on the probabilistically independent postulate[J]. Chin. Phys. B, 2010, 19(7): 70501-070501.

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