Nonadditive and nonextensive statistical mechanics - some mathematical aspects
- Constantino Tsallis (Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil)
Abstract
The nonadditive entropy $S_q$ and its associated statistical mechanics pose various mathematically interesting challenges. Some selected ones will be presented. In addition to this, some recent predictions, verifications and applications in natural and artificial systems will be briefly described as well.
BIBLIOGRAPHY:
(i) C. Tsallis, Entropy, in Encyclopedia of Complexity and Systems Science (Springer, Berlin, 2009);
(ii) C. Tsallis, Introduction to Nonextensive Statistical Mechanics - Approaching a Complex World (Springer, New York, 2009);
(iii) S. Umarov, C. Tsallis, M. Gell-Mann and S. Steinberg, J. Math. Phys. 51, 033502 (2010);
(iv) M. Jauregui and C. Tsallis, J. Math. Phys. 51 (June 2010), in press;
(v) CMS Collaboration, J. High Energy Phys. 02, 041 (2010);
(vi) tsallis.cat.cbpf.br/biblio.htm
