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Chin. Phys. B, 2010, Vol. 19(7): 070501    DOI: 10.1088/1674-1056/19/7/070501
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A new form of Tsallis distribution based on the probabilistically independent postulate

Du Jiu-Lin(杜九林)
Department of Physics, School of Science, Tianjin University, Tianjin 300072, China
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.
Keywords:  nonextensive statistics      Tsallis distribution      nonequilibrium dynamics      Fokker--Planck equation  
Accepted manuscript online: 
PACS:  02.50.Ng (Distribution theory and Monte Carlo studies)  
  02.50.Cw (Probability theory)  
  05.20.-y (Classical statistical mechanics)  
  95.35.+d (Dark matter)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10675088).

Cite this article: 

Du Jiu-Lin(杜九林) A new form of Tsallis distribution based on the probabilistically independent postulate 2010 Chin. Phys. B 19 070501

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