描述CERN LHC的光度演变，包括动态孔径效应。第一部分：模型
Description of the luminosity evolution for the CERN LHC including dynamic aperture effects. Part I: the model
摘要：
近年来，从动态孔径的演变出发，模拟圆形质子机中束流损失的演变一直是研究的焦点。从单粒子，非线性束动力学的结果已被用来建立简单的模型，被证明是在良好的协议与束测量。这些结果已被推广，从而打开的可能性，也描述了在一个圆形强子对撞机的光度演化。在本文中，重点是推导的光度标度律，其中包括燃烧和额外的伪扩散效应。值得强调的是，在所提出的框架中，可以考虑一些光束参数的时间依赖性。建议的模型被应用到分析的一个子集的数据收集在欧洲核子研究中心大型强子对撞机（LHC）运行~1的配套文件（第二部分）。
英文摘要：
In recent years, modelling the evolution of beam losses in circular proton machines starting from the evolution of the dynamic aperture has been the focus of intense research. Results from single-particle, non-linear beam dynamics have been used to build simple models that proved to be in good agreement with beam measurements. These results have been generalised, thus opening the possibility to describe also the luminosity evolution in a circular hadron collider. In this paper, the focus is on the derivation of scaling laws for luminosity, which include both burn off and additional pseudo-diffusive effects. It is worthwhile stressing that time-dependence of some beam parameters can be taken into account in the proposed framework. The proposed models are applied to the analysis of a subset of the data collected during the CERN Large Hadron Collider (LHC) Run~1 in a companion paper (Part II).
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