arXiv subjects

Somayeh Asgarani

Publications and source records attributed to Somayeh Asgarani.

3 recordsLinked to original sources

arXiv2008

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

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 $S_{q,q'}$ 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.

cond-mat.stat-mech↗

arXiv2007

Quasi-additivity of Tsallis entropies and correlated subsystems

We use Beck's quasi-additivity of Tsallis entropies for $n$ independent subsystems to show that like the case of $n=2$, the entropic index $q$ approaches 1 by increasing system size. Then, we will generalize that concept to correlated subsystems to find that in the case of correlated subsystems, when system size increases, $q$ also approaches a value corresponding to the additive case.

cond-mat.stat-mech↗

arXiv2006

Extensivity and nonextensivity of two-parameter entropies

In this paper, we investigate two-parameter entropies and obtain some conditions for their extensivity. By using a generalized $(k,r)-product$, correlations for subsystems are related to the joint probabilities, so that the entropy remains extensive.

cond-mat.stat-mech↗