论文标题
重新审视Boltzmann遗产：社交互动的动力学模型
The Boltzmann legacy revisited: kinetic models of social interactions
论文作者
论文摘要
最初由路德维希·鲍尔茨曼（Ludwig Boltzmann）在气体动力学中开发的统计力学方法的经典方法的应用，在对社会现象的描述中是一个成功的故事，我们试图在本文中概述。一方面，这是一条蓬勃发展的研究线，越来越多地渗透到各种情况下，例如生态植物学，社会物理学，生物护理学，运输工程，仅举几例。另一方面，这是一个引人入胜的数学挑战，因为它需要各种互补专业的相互作用：建模，模型分析，数字。在本文中，我们试图以舆论形成的社会现象作为一个激励人心的例子来味道。
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.
