Volume 118, Number 5, June 2017
|Number of page(s)||6|
|Published online||18 August 2017|
The limit behavior of the evolution of the Tsallis entropy in self-gravitating systems
1 Department of Physics, School of Science, Qiqihar University - Qiqihar City 161006, China
2 Department of Physics, School of Science, Tianjin University - Tianjin 300072, China
Received: 30 April 2017
Accepted: 24 July 2017
In this letter, we study the limit behavior of the evolution of the Tsallis entropy in self-gravitating systems. The study is carried out under two different situations, drawing the same conclusion. No matter in the energy transfer process or in the mass transfer process inside the system, when the nonextensive parameter q is more than unity, the total entropy is bounded; on the contrary, when this parameter is less than unity, the total entropy is unbounded. There are proofs in both theory and observation that the q is always more than unity. So the Tsallis entropy in self-gravitating systems generally exhibits a bounded property. This indicates the existence of a global maximum of the Tsallis entropy. It is possible for self-gravitating systems to evolve to thermodynamically stable states.
PACS: 05.10.-a – Computational methods in statistical physics and nonlinear dynamics / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems (restricted to new topics in section 05) / 95.30.-k – Fundamental aspects of astrophysics
© EPLA, 2017
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