On the discrete kinetic theory for active particles. Mathematical tools

13Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

Abstract

This paper deals with the development of a mathematical discrete kinetic theory to model the dynamics of large systems of interacting active particles whose microscopic state includes not only geometrical and mechanical variables (typically position and velocity), but also peculiar functions, called activities, which are able to modify laws of classical mechanics. The number of the above particles is sufficiently large to describe the overall state of the system by a suitable probability distribution over the microscopic state, while the microscopic state is discrete. This paper deals with a methodological approach suitable to derive the mathematical tools and structures which can be properly used to model a variety of models in different fields of applied sciences. The last part of the paper outlines some research perspectives towards modelling. © 2006 Elsevier Ltd. All rights reserved.

Cite

CITATION STYLE

APA

Chauviere, A., & Brazzoli, I. (2006). On the discrete kinetic theory for active particles. Mathematical tools. Mathematical and Computer Modelling, 43(7–8), 933–944. https://doi.org/10.1016/j.mcm.2005.10.001

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free