par Sonnino, Giorgio 
;Steinbrecher, György
Référence Physical review. E, Statistical, nonlinear, and soft matter physics, 89, 6, 062106
Publication Publié, 2014-06
;Steinbrecher, GyörgyRéférence Physical review. E, Statistical, nonlinear, and soft matter physics, 89, 6, 062106
Publication Publié, 2014-06
Article révisé par les pairs
| Résumé : | Starting from the geometrical interpretation of the Rényi entropy, we introduce further extensive generalizations and study their properties. In particular, we found the probability distribution function obtained by the MaxEnt principle with generalized entropies. We prove that for a large class of dynamical systems subject to random perturbations, including particle transport in random media, these entropies play the role of Liapunov functionals. Some physical examples, which can be treated by the generalized Rényi entropies, are also illustrated. © 2014 American Physical Society. |
