Measurement of three-body chaotic absorptivity predicts chaotic outcome distribution

Abstract

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 tri-variate 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.

10 pages, 8 figures

References in corpus (5)

• The NumPy array: a structure for efficient numerical computation
• Modeling gravitational few-body problems with TSUNAMI and OKINAMI
• Analytic Modelling of Binary-Single Encounters: Non-Thermal Eccentricity Distribution and Gravitational-Wave Source Formation
• Natural dynamical reduction of the three-body problem
• Regularized phase-space volume for the three-body problem

Cited by in corpus (2)

• Isles of regularity in a sea of chaos amid the gravitational three-body problem
• The hierarchical three-body problem at $\mathcal{O}(G^2)$