English

Troublesome aspects of the Renyi-MaxEnt treatment

Statistical Mechanics 2016-08-03 v1 Mathematical Physics math.MP

Abstract

We study in great detail the possible existence of a Renyi-associated thermodynamics, with negative results. In particular, we uncover a hidden relation in the Renyi's variational problem (MaxEnt). This relation connects the two associated Lagrange multipliers (Canonical Ensemble) with the mean energy <U><U> and the Renyi parameter α\alpha. As a consequence of such relation, we obtain anomalous Renyi-MaxEnt thermodynamic results.

Keywords

Cite

@article{arxiv.1602.02696,
  title  = {Troublesome aspects of the Renyi-MaxEnt treatment},
  author = {A. Plastino and M. C. Rocca and F. Pennini},
  journal= {arXiv preprint arXiv:1602.02696},
  year   = {2016}
}

Comments

16 pages. No figures