Next Article in Journal
Entropy Generation of Desalination Powered by Variable Temperature Waste Heat
Next Article in Special Issue
From Lattice Boltzmann Method to Lattice Boltzmann Flux Solver
Previous Article in Journal
Analytical Solutions of the Black–Scholes Pricing Model for European Option Valuation via a Projected Differential Transformation Method
Previous Article in Special Issue
Extension of the Improved Bounce-Back Scheme for Electrokinetic Flow in the Lattice Boltzmann Method
Open AccessArticle

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
Entropy 2015, 17(11), 7522-7529; https://doi.org/10.3390/e17117522
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)
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
MDPI and ACS Style

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

AMA Style

Chliamovitch G, Malaspinas O, Chopard B. A Truncation Scheme for the BBGKY2 Equation. Entropy. 2015; 17(11):7522-7529.

Chicago/Turabian Style

Chliamovitch, Gregor; Malaspinas, Orestis; Chopard, Bastien. 2015. "A Truncation Scheme for the BBGKY2 Equation" Entropy 17, no. 11: 7522-7529.

Find Other Styles

Article Access Map by Country/Region

1
Only visits after 24 November 2015 are recorded.
Search more from Scilit
 
Search
Back to TopTop