测量三体混沌吸收率可预测混沌结果分布

Viraj Manwadkar, Alessandro A. Trani, Barak Kol
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引用次数: 0

摘要

基于通量的非层次三体系统统计理论预言,混沌结果分布可以简化为混沌发射率函数乘以一个已知函数,即渐近通量。在这里,我们通过模拟来测量混沌发射率函数(或等同于吸收率)。更确切地说,我们跟踪数百万个散射事件,直到可以确定散射是规则的还是混沌的为止。通过这种方法,我们测量了三变量吸收率函数。利用它,我们确定了基于通量的混沌结果分布在二元结合能和角动量上的预测值,并发现与测量到的分布非常吻合。这是对基于通量理论的详细证实,并证明确定混沌结果分布的计算量大大减少。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Measurement of three-body chaotic absorptivity predicts chaotic outcome distribution

Measurement of three-body chaotic absorptivity predicts chaotic outcome distribution

The flux-based statistical theory of the non-hierarchical three-body system predicts that the chaotic outcome distribution reduces to the chaotic emissivity function times a known function, the asymptotic flux. Here, we measure the chaotic emissivity function (or equivalently, the absorptivity) through simulations. More precisely, we follow millions of scattering events only up to the point when it can be decided whether the scattering is regular or chaotic. In this way, we measure a trivariate absorptivity function. Using it, we determine the flux-based prediction for the chaotic outcome distribution over both binary binding energy and angular momentum, and we find good agreement with the measured distribution. This constitutes a detailed confirmation of the flux-based theory and demonstrates a considerable reduction in computation to determine the chaotic outcome distribution.

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