The Boltzmann legacy revisited: kinetic models of social interactions
Abstract
The application of classical methods of statistical mechanics, originally developed by Ludwig Boltzmann in gas dynamics, to the description of social phenomena is a successful story that we try to outline in this paper. On one hand, it is nowadays a flourishing research line, which is more and more permeating different contexts such as the econophysics, sociophysics, biomathematics, transportation engineering to name just a few of them. On the other hand, it is a fascinating mathematical challenge, because it requires the interplay of various complementary expertises: modelling, model analysis, numerics. In this paper, we try to give a taste of all of this using the social phenomenon of opinion formation as a motivating example.
Keywords
Cite
@article{arxiv.2003.14225,
title = {The Boltzmann legacy revisited: kinetic models of social interactions},
author = {Martina Fraia and Andrea Tosin},
journal= {arXiv preprint arXiv:2003.14225},
year = {2020}
}
Comments
19 pages, 5 figures