The Maximum-Entropy-Based Weight Function in Discrete-Activity-Thermostatted Models

Authors

Carlo Bianca, Laboratoire Quartz EA 7393, E ́ cole Supe ́rieure d’Inge ́nieurs en Ge ́nie E ́ lectrique, Productique et Management Industriel, 13 Boulevard de l’Hautil, 95092 Cergy Pontoise CEDEX, France\\Laboratoire de Recherche en Eco-innovation Industrielle et E ́nerge ́tique, E ́cole Supe ́rieure d’Inge ́nieurs en Ge ́nie E ́lectrique, Productique et Management Industriel, 13 Boulevard de l’Hautil, 95092 Cergy Pontoise CEDEX, FranceFollow
Marco Menale, Laboratoire Quartz EA 7393, E ́ cole Supe ́rieure d’Inge ́nieurs en Ge ́nie E ́ lectrique, Productique et Management Industriel, 13 Boulevard de l’Hautil, 95092 Cergy Pontoise CEDEX, France\\Dipartimento di Matematica e Fisica, Universita` degli Studi della Campania “L. Vanvitelli”, Viale Lincoln 5, I-81100 Caserta, ItalyFollow

Author Country (or Countries)

France

Abstract

Recently the weighted thermostatted kinetic theory framework with discrete activity has been proposed for modeling the weighted interactions in complex systems. This paper addresses the derivation of the weight function as a solution of an inverse problem based on the macroscopic quantities and specifically on the high-order moments. The weight function, obtained by employing the maximum entropy principle, generalizes the previous published results obtained by employing the zero-order moment.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140401

Recommended Citation

Bianca, Carlo and Menale, Marco (2020) "The Maximum-Entropy-Based Weight Function in Discrete-Activity-Thermostatted Models," Applied Mathematics & Information Sciences: Vol. 14: Iss. 4, Article 1.
DOI: http://dx.doi.org/10.18576/amis/140401
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss4/1