The application of classical methods of statistical mechanics, originally developed by Ludwig Boltzmann in gas dynamics, to the description of social phenomena is a success 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.
The Boltzmann legacy revisited: kinetic models of social interactions / Fraia, Martina; Tosin, Andrea. - In: MATEMATICA, CULTURA E SOCIETÀ. - ISSN 2499-751X. - STAMPA. - 5:2(2020), pp. 93-109.
|Titolo:||The Boltzmann legacy revisited: kinetic models of social interactions|
|Data di pubblicazione:||2020|
|Appare nelle tipologie:||1.1 Articolo in rivista|