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Entropy 2015, 17(11), 7522-7529; doi:10.3390/e17117522

A Truncation Scheme for the BBGKY2 Equation

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
Received: 28 September 2015 / Revised: 23 October 2015 / Accepted: 26 October 2015 / Published: 30 October 2015
(This article belongs to the Special Issue Non-Linear Lattice)
View Full-Text   |   Download PDF [233 KB, uploaded 30 October 2015]

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
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Chliamovitch, G.; Malaspinas, O.; Chopard, B. A Truncation Scheme for the BBGKY2 Equation. Entropy 2015, 17, 7522-7529.

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