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Diffusion in stochastically perturbed Hamiltonian systems with applications to the recent LHC dynamic aperture experiments

机译:随机扰动Hamiltonian系统的扩散,具有应用于最近的LHC动态孔径实验

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In this paper, we review diffusion phenomena in stochastically perturbed Hamiltonian systems, with the aim of defining the framework to use Nekhoroshev-like estimates as prototypes for the form of the diffusion coefficient. A discussion of the features of this framework is carried out. More importantly, the results of numerical simulations based on the proposed models are compared against the experimental data from recent measurements performed at the CERN Large Hadron Collider (LHC) of the extent of phase space where bounded motions occur. The main conclusions are presented and discussed in detail together with future steps.
机译:在本文中,我们审查了随机扰动的Hamiltonian系统中的扩散现象,目的是定义框架,以使用Nekhoroshev样估计作为扩散系数形式的原型。对该框架的特征进行了讨论。更重要的是,将基于所提出的模型的数值模拟结果与来自近期RADRON碰撞器(LHC)的最近测量的实验数据进行比较,其中存在有界运动的相位空间的程度。与未来步骤一起介绍和讨论了主要结论。

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