Nonadditive entropy: small price to satisfy thermodynamics -- Theory and experiments

by Prof. Constantino Tsallis (CBPF Rio de Janeiro and Santa Fe Institute)

Tuesday 30 May 2017, 14:00 → 15:00 Europe/Budapest

Bldg.1. Meeting Room (KFKI campus)

The Galilean composition law of velocities within Newtonian mechanics is additive. But, in order to unify mechanics with Maxwell electromagnetism, Einstein adopted the Lorentz space-time transformation as the primary mathematical-physical goal to be satisfied. It resulted the well known, nonadditive, relativistic composition law of velocities. This surely is a small price to pay in order to unify mechanics and electromagnetism, and explain very many experimental facts. Analogously, there is a plethora of analytical, experimental, observational and computational evidences (see Bibliography in http://tsallis.cat.cbpf.br/biblio.htm) which reveals various kinds of violations of Boltzmann-Gibbs (BG) statistical mechanics, including thermodynamics. The adoption of nonadditive entropic functionals which generalize the traditional, additive, BG one enables to satisfy classical thermodynamics: as before, a small price to pay!