https://doi.org/10.1140/epjst/e2016-60252-2
Review
On the foundations of statistical mechanics✱
1 Centro Brasileiro de Pesquisas Fisicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro-RJ, Brazil
2 Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA
a e-mail: tsallis@cbpf.br
Received: 31 August 2016
Revised: 24 September 2016
Published online: 25 May 2017
We briefly review the foundations and applications of statistical mechanics based on the nonadditive entropies Sq. Then we address four frequently focused points, namely (i) On the form of the constraints within a variational entropy principle; (ii) Are the q-indices first-principle-computable quantities or fitting parameters?; (iii) If one admits violation of the entropic additivity, why not admitting also violation of the entropic extensivity?; and (iv) Critical-like behavior.
© The Author(s) 2017
Open Access This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
