English

On the putative essential discreteness of q-generalized entropies

Statistical Mechanics 2017-08-23 v2 Mathematical Physics math.MP Classical Physics

Abstract

It has been argued in [EPL {\bf 90} (2010) 50004], entitled {\it Essential discreteness in generalized thermostatistics with non-logarithmic entropy}, that "continuous Hamiltonian systems with long-range interactions and the so-called q-Gaussian momentum distributions are seen to be outside the scope of non-extensive statistical mechanics". The arguments are clever and appealing. We show here that, however, some mathematical subtleties render them unconvincing

Keywords

Cite

@article{arxiv.1704.08380,
  title  = {On the putative essential discreteness of q-generalized entropies},
  author = {A. Plastino and M. C. Rocca},
  journal= {arXiv preprint arXiv:1704.08380},
  year   = {2017}
}

Comments

9 pages. No figures