English

Power-law entropies for continuous systems and generalized operations

Statistical Mechanics 2018-10-17 v2 Mathematical Physics math.MP

Abstract

We present our view in a standing debate about the definition and meaning of power-law entropies for continuous systems. Our suggestion is that such arguments should take into account the generalized operations of addition and multiplication induced by the power-law entropies' composition properties. To be concrete, we highlight our view using the case of the qq- also known as "Tsallis", entropic functionals.

Keywords

Cite

@article{arxiv.1807.01746,
  title  = {Power-law entropies for continuous systems and generalized operations},
  author = {Anthony J. Creaco and Nikolaos Kalogeropoulos},
  journal= {arXiv preprint arXiv:1807.01746},
  year   = {2018}
}

Comments

11 pages. No figures. LaTeX2e. This version: Minor corrections, clarifications, and additional references

R2 v1 2026-06-23T02:51:08.154Z