Two parameter deformed non-extensive entropy from the two

Year 2016, Volume: 19 Issue: 3, 158 - 161, 01.09.2016

Won Sang Chung

https://doi.org/10.5541/ijot.5000160131

Cited By: 1

Abstract

In this paper two parameter (p; r) deformed non-extensive entropy is constructed from the view
of the two parameter quantum number. The time evolution of two parameter deformed entropy is
obtained to give the condition that the entropy increases. For special example , q = 1+; r = 1

Keywords

Tsallis entropy, maximum entropy probability, non-extensive entropy, deformed entropy, deformed internal energy

References

• C. Tsallis, “Possible generalization of Boltzmann-Gibbs statistics,” J. Stat. Phys., 52, 479-487, 1988. [2] E. Curado, C.
• Tsallis, “Generalized statistical
• mechanics: connection with thermodynamics,” J. Phys. A, 25, 69-72, 1991.
• A. Cho, “A fresh take on disorder, or disorderly science?” Science, 297, 1268-1269, 2002.
• S. Plastino,”Revisiting disorder and Tsallis statistics,” Science, 300, 249-251, 2003.
• L. Nivanen, A. Le Mehaute, Q. A. Wang “Generalized algebra within a nonextensive statistics,” Rep. Math. Phys., 52, 437-444, 2003.
• E. P. Borges, “A possible deformed algebra and calculus inspired in nonextensive thermostatistics,” J. Physica A, 340, 95-101, 2004.
• S. Abe, “A note on the q-deformation-theoretic aspect of the generalized entropies in nonextensive physics,” Phys. Lett. A, 224, 326-330, 1997.