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

Abstract

We investigate a two-parameter entropy introduced by Schwämmle 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 $S_{q,q^{\prime }}$ 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, $S_{q,q^{\prime }}$, is extensive.

10 pages

References in corpus (4)

• A possible deformed algebra and calculus inspired in nonextensive thermostatistics
• Two-parameter generalization of the logarithm and exponential functions and Boltzmann-Gibbs-Shannon entropy
• Mother wavelet functions generalized through q-exponentials
• Extensivity and nonextensivity of two-parameter entropies

Cited by in corpus (1)

• Logarithmic Generalization of the Lambert W function and its Applications to Adiabatic Thermostatics of the Three-Parameter Entropy