Quasi-additivity of Tsallis entropies and correlated subsystems

Somayeh Asgarani; Behrouz Mirza

doi:10.1016/j.physa.2007.02.033

Quasi-additivity of Tsallis entropies and correlated subsystems

Statistical Mechanics 2007-05-23 v1

Authors: Somayeh Asgarani , Behrouz Mirza

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Abstract

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.

Keywords

tsallis entropy quasi-additivity correlated subsystems entropic index system size non-extensive statistics

Cite

@article{arxiv.0705.0888,
  title  = {Quasi-additivity of Tsallis entropies and correlated subsystems},
  author = {Somayeh Asgarani and Behrouz Mirza},
  journal= {arXiv preprint arXiv:0705.0888},
  year   = {2007}
}

Comments

12 pages

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