2021/01/11 by Viraj Manwadkar, Barak Kol, Alessandro A. Trani +1 · 24 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Binary number #Cold Atom Physics and Bose-Einstein Condensates #Emissivity #Exponent #Flux (metallurgy) #Mathematics #Optics #Physics #Statistical Mechanics and Entropy #Statistical physics #Statistics #astro-ph.EP #astro-ph.SR #nlin.CD
paper · pdf · doi:10.1093/mnras/stab1689
published in Monthly Notices of the Royal Astronomical Society (Oxford University Press) · 17 pages, 11 figures
arxiv created 2021/01/11 · openalex publication_date 2021/06/11 · arxiv updated 2021/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract We present an extensive comparison between the statistical properties of non-hierarchical three-body systems and the corresponding three-body theoretical predictions. We perform and analyse 1 million realizations for each different initial condition considering equal and unequal mass three-body systems to provide high accuracy statistics. We measure 4 quantities characterizing the statistical distribution of ergodic disintegrations: escape probability of each body, the characteristic exponent for escapes by a narrow margin, predicted absorptivity as a function of binary energy and binary angular momentum, and, finally, the lifetime distribution. The escape probabilities are shown to be in agreement down to the 1 per cent level with the emissivity-blind, flux-based theoretical prediction. This represents a leap in accuracy compared to previous three-body statistical theories. The characteristic exponent at the threshold for marginally unbound escapes is an emissivity-independent flux-based prediction, and the measured values are found to agree well with the prediction. We interpret both tests as strong evidence for the flux-based three-body statistical formalism. The predicted absorptivity and lifetime distributions are measured to enable future tests of statistical theories.