https://doi.org/10.1051/epjconf/20147100132
Nonextensive statistical mechanics and high energy physics
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
b e-mail: zochil@cbpf.br
Published online: 29 April 2014
The use of the celebrated Boltzmann-Gibbs entropy and statistical mechanics is justified for ergodic-like systems. In contrast, complex systems typically require more powerful theories. We will provide a brief introduction to nonadditive entropies (characterized by indices like q, which, in the q → 1 limit, recovers the standard Boltzmann-Gibbs entropy) and associated nonextensive statistical mechanics. We then present somerecent applications to systems such as high-energy collisions, black holes and others. In addition to that, we clarify and illustrate the neat distinction that exists between Lévy distributions and q-exponential ones, a point which occasionally causes some confusion in the literature, very particularly in the LHC literature
© Owned by the authors, published by EDP Sciences, 2014
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 2.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
