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1

Department of Computer Science, University of Geneva, Route de Drize 7, 1227 Geneva, Switzerland

2

Department of Theoretical Physics, University of Geneva, Quai Ernest-Ansermet 24, 1211 Geneva, Switzerland





*

Author to whom correspondence should be addressed.



Academic Editors: Sauro Succi and Ignazio Licata

Abstract In recent years, the maximum entropy principle has been applied to a wide range of different fields, often successfully. While these works are usually focussed on cross-disciplinary applications, the point of this letter is instead to reconsider a fundamental point of kinetic theory. Namely, we shall re-examine the Stosszahlansatz leading to the irreversible Boltzmann equation at the light of the MaxEnt principle. We assert that this way of thinking allows to move one step further than the factorization hypothesis and provides a coherent—though implicit—closure scheme for the two-particle distribution function. Such higher-order dependences are believed to open the way to a deeper understanding of fluctuating phenomena. View Full-Text

Keywords: kinetic theory; non-equilibrium statistical mechanics; maximum entropy principle kinetic theory; non-equilibrium statistical mechanics; maximum entropy principle





Autor: Gregor Chliamovitch 1,2,* , Orestis Malaspinas 1 and Bastien Chopard 1

Fuente: http://mdpi.com/



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