论文标题
与远距离相互作用的相互作用粒子系统：缩放限制和动力学方程
Interacting particle systems with long-range interactions: scaling limits and kinetic equations
论文作者
论文摘要
本文的目的是描述由相互作用粒子系统的缩放限制产生的各种动力学方程。我们提供形式主义，使我们能够确定给定相互作用潜力和缩放限制的动力学方程。我们在本文中的重点是具有远距离相互作用的粒子系统。这里的推导是正式的，但是它将粒子系统作为粒子在具有摩擦项的随机力场中的运动提供了解释，这是由于与周围粒子的相互作用所致。该方法的一些技术细节在同伴论文中进行了讨论[47]。
The goal of this paper is to describe the various kinetic equations which arise from scaling limits of interacting particle systems. We provide a formalism which allows us to determine the kinetic equation for a given interaction potential and scaling limit. Our focus in this paper is on particle systems with long-range interactions. The derivation here is formal, but it provides an interpretation of particle systems as the motion of a particle in a random force field with a friction term which is due to the interaction with the surrounding particles. Some of the technical details of this method are discussed in the companion paper [47].
