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.

The Boltzmann legacy revisited: kinetic models of social interactions

Tosin, Andrea
2020

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 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2859319