论文标题
KAC模型和大规范形式主义的平均野外限制
Mean Field Limit for the Kac model and Grand Canonical Formalism
论文作者
论文摘要
我们认为经典的KAC模型是boltzmann方程近似的模型,并研究了测量平均场限制中混沌传播缺陷的相关误差。这项贡献的灵感来自同一作者的最新论文,其中考虑了大量模型(包括量子系统)。在这里,我们概述了大规范措施的背景下的主要思想,这些措施都简化了进化方程和证明。
We consider the classical Kac's model for the approximation of the Boltzmann equation, and study the correlation error measuring the defect of propagation of chaos in the mean field limit. This contribution is inspired by a recent paper of the same authors where a large class of models, including quantum systems, are considered. Here we outline the main ideas in the context of grand canonical measures, for which both the evolution equations and the proof simplify.