A Note on the Nonequilibrium Stationary State in Continuous-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 Energe ́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

The present paper addresses uniqueness of the nonequilibrium stationary state of a continuous-activity thermostatted kinetic theory framework. Specifically, a sufficient condition for the existence and uniqueness of the nonequilibrium stationary state is established. The sufficient condition defines a relation between the interaction rate and the magnitude of the external force. The proof of the main result is obtained by employing fixed-point arguments.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140502

Recommended Citation

Bianca, Carlo and Menale, Marco (2020) "A Note on the Nonequilibrium Stationary State in Continuous-Activity Thermostatted Models," Applied Mathematics & Information Sciences: Vol. 14: Iss. 5, Article 2.
DOI: http://dx.doi.org/10.18576/amis/140502
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss5/2