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A numerical study of the scattering in the He-Cu model with a Morse potential: Parabolic manifolds and exponentially small phenomena
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2024-08-14 , DOI: 10.1016/j.cnsns.2024.108260 E. Barrabés , F. Borondo , E. Fontich , P. Martín , M. Ollé
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2024-08-14 , DOI: 10.1016/j.cnsns.2024.108260 E. Barrabés , F. Borondo , E. Fontich , P. Martín , M. Ollé
We consider the classical approximation of a realistic model for the scattering of He atoms from Cu surfaces. For this problem, modeled by a two-degrees-of-freedom Hamiltonian system, the existence of chaos has been proven analytically very recently for sufficiently large values of the energy, if some quantity, known as the Stokes constant, is non-zero (Borondo et al., 2024). Taking two different and independent approaches, this paper provides numerical evidence that this is indeed the case. Both approaches provide the same value of the non-zero Stokes constant.
中文翻译:
具有莫尔斯势的 He-Cu 模型中散射的数值研究:抛物流形和指数小现象
我们考虑 He 原子从 Cu 表面散射的现实模型的经典近似。对于这个由二自由度哈密顿系统建模的问题,最近已经通过分析证明了对于足够大的能量值,如果某个称为斯托克斯常数的量不为零( Borondo 等人,2024)。本文采用两种不同且独立的方法,提供了数字证据证明情况确实如此。两种方法都提供相同的非零斯托克斯常数值。
更新日期:2024-08-14
中文翻译:
具有莫尔斯势的 He-Cu 模型中散射的数值研究:抛物流形和指数小现象
我们考虑 He 原子从 Cu 表面散射的现实模型的经典近似。对于这个由二自由度哈密顿系统建模的问题,最近已经通过分析证明了对于足够大的能量值,如果某个称为斯托克斯常数的量不为零( Borondo 等人,2024)。本文采用两种不同且独立的方法,提供了数字证据证明情况确实如此。两种方法都提供相同的非零斯托克斯常数值。