Nonadditive and nonextensive statistical mechanics - some mathematical aspects

  • Constantino Tsallis (Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil)
University n.n. Universität Leipzig (Leipzig)


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.

(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);

02.08.10 06.08.10

Information Geometry and its Applications III

Universität Leipzig (Leipzig) University n.n. University n.n.

Antje Vandenberg

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail

Nihat Ay

Max Planck Institute for Mathematics in the Sciences, Germany

Paolo Gibilisco

Università degli Studi di Roma "Tor Vergata", Italy

František Matúš

Academy of Sciences of the Czech Republic, Czech Republic