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Updated: Apr 27, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Generalized extensive entropies for studying dynamical systems in highly anisotropic phase spaces
Giorgio Sonnino1, György Steinbrecher2
1Université Libre de Bruxelles (ULB), Department of Physics, Bvd du Triomphe, Campus de la Plaine CP 231, 1050 Brussels, Belgium and Royal Military School (RMS), Av. de la Renaissance 30, 1000 Brussels, Belgium.
Abstract:
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.
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