In my lectures at the Les Houches Summer School 2008, I discussed central concepts of computational statistical physics, which I felt would be accessible to the very cross-cultural audience at the school.
I started with a discussion of sampling, which lies at the heart of the Monte Carlo approach. I specially emphasized the concept of perfect sampling, which offers a synthesis of the traditional direct and Markov-chain sampling approaches. The second lecture concerned classical hard-sphere systems, which illuminate the foundations of statistical mechanics, but also illustrate the curious difficulties that beset even the most recent simulations. I then moved on, in the third lecture, to quantum Monte Carlo methods, that underly much of the modern work in bosonic systems. Quantum Monte Carlo is an intricate subject. Yet one can discuss it in simplified settings (the single-particle free propagator, ideal bosons) and write direct-sampling algorithms for the two cases in two or three dozen lines of code only. These idealized algorithms illustrate many of the crucial ideas in the field. The fourth lecture attempted to illustrate aspects of the unity of physics as realized in the Ising model simulations of recent years.
More details on what I discussed in Les Houches, and wrote up (and somewhat rearranged) here, can be found in my book, "Statistical Mechanics: Algorithms and Computations", as well as in recent papers. Computer programs are available for download and perusal at the book's web site www.smac.lps.ens.fr.
Les Houches Lectures on Community Ecology: From Niche Theory to Statistical Mechanics
Kavli Institute for Theoretical Physics, University of California Santa Barbara（加州大学圣塔芭芭拉分校卡弗里理论物理研究所）；Pontifical University of the Holy Cross（十字神学院宗座大学）；Dept. of Physics and Faculty of Computing and Data Science, Boston University（波士顿大学物理系与计算数据科学学院）
Les Houches 2018暑期学校活性物质和非平衡统计物理学的讲义。这些注释介绍了活性物质的统计场论。在展示了如何通过显式粗粒化主动粒子模型自下而上创建这种理论的一个例子之后，这里采取的主要方法是自上而下：将最小项添加到研究充分的被动系统随机场论中，这些场论打破了时间可逆性，从而导致非零稳态熵产生。到目前为止，这些理论与它们的被动对应物相比，理解得相当少。
Some elementary rigorous remark about the replica formalism in the Statistical Physics' approach to threshold phenomena in Computational Complexity Theory
