论文标题
无序系统动力学简介：平衡和梯度下降
Introduction to the dynamics of disordered systems: equilibrium and gradient descent
论文作者
论文摘要
本手稿包含在暑期学校（F.Z.）在2021年7月在意大利Brunico举行的“统计物理XV的基本问题”的简短课程的讲义，在此之前，在暑期学校“玻璃系统和跨学科应用”之前，在Cargese介绍了该课程。系统特别集中在平衡动力学（与相关的玻璃转变）上，以及最简单的非平衡动力学情况，即梯度下降动力学。根据作者自己的口味和能力以及教学原因选择了一些选定的主题（和参考），而无需对该主题进行完整的审查。
This manuscript contains the lecture notes of the short courses given by one of us (F.Z.) at the summer school "Fundamental Problems in Statistical Physics XV", held in Brunico, Italy, in July 2021, and, just before that, at the summer school "Glassy Systems and Inter-Disciplinary Applications", held in Cargese, France, in June 2021. The course was a short introductory overview of the dynamics of disordered systems, focused in particular on the equilibrium dynamics (with the associated glass transition), and on the simplest case of off-equilibrium dynamics, namely the gradient descent dynamics. A few selected topics (and references) are chosen, based on the authors' own taste and competences, and on pedagogical reasons, without aiming at a complete review of the subject.
