Extended quasi-additivity of Tsallis entropies
Ryszard Piasecki
TL;DR
This paper explores how Tsallis entropies behave for independent subsystems with different entropic indices, proposing a relation that extends quasi-additivity and illustrating its implications with examples.
Contribution
It introduces an extended relation for quasi-additivity of Tsallis entropies for subsystems with different q-indices, broadening the understanding of non-additive entropy.
Findings
Derived a relation between q1, q2, and q' for subsystems
Extended the power law for entropic index as a function of distance r
Illustrated the role of the constraint q' < min(q1, q2) in quasi-additivity
Abstract
We consider statistically independent non-identical subsystems with different entropic indices q1 and q2. A relation between q1, q2 and q' (for the entire system) extends a power law for entropic index as a function of distance r. A few examples illustrate a role of the proposed constraint q' < min(q1, q2) for the Beck's concept of quasi-additivity.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.