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
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
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