Probability distribution of (Schwämmle and Tsallis) two-parameter entropies and the Lambert W-function

Details Probability distribution of (Schwämmle and Tsallis) two-parameter entropies and the Lambert W-function Probability distribution of (Schwämmle and Tsallis) two-parameter entropies and the Lambert W-function

2008-08-23

arxiv.org/abs/0808.3173v1

Physica A 387 (2008) 6277--6283

Physics

Condensed Matter

Statistical Mechanics

10 pages

Scientific paper

10.1016/j.physa.2008.08.005

We investigate a two-parameter entropy introduced by Schw\"{a}mmle and Tsallis and obtain its probability distribution in the canonical ensemble. The probability distribution is given in terms of the Lambert W-function which has been used in many branches of physics, especially in fractal structures. Also, extensivity of $S_{q,q'}$ is discussed and a relationship is found to exist between the probabilities of a composite system and its subsystems so that the two-parameter entropy, $S_{q,q'}$, is extensive.

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