The Boltzmann legacy revisited: kinetic models of social interactions

Martina Fraia, Andrea Tosin

备注：: 19 pages, 5 figures
发表信息：: Mat. Cult. Soc. Riv. Unione Mat. Ital. (I), 5(2):93-109, 2020

英文摘要：

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.

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