A dynamical survey of the trans-Neptunian region II.: On the nature of chaotic diffusion
arXiv:2305.19018 · doi:10.1093/mnrasl/slad063
Abstract
On long enough timescales, chaotic diffusion has the potential to significantly alter the appearance of a dynamical system. The solar system is no exception: diffusive processes take part in the transportation of small bodies and provide dynamical pathways even for the distant trans-Neptunian objects to reach the inner solar system. In this Letter, we carry out a thorough investigation of the nature of chaotic diffusion. We analyze the temporal evolution of the mean squared displacement of ten thousand ensembles of test particles and quantify in each case the diffusion exponent (enabling the classification between normal, sub-, and super-diffusion), the generalized diffusion coefficient, and a characteristic diffusion timescale, too. This latter quantity is compared with an entropy-based timescale, and the two approaches are studied in light of direct computations as well. Our results are given in the context of two-dimensional maps, thereby facilitating the understanding of the relationship between the typical phase space structures and the properties of chaotic diffusion.
arXiv comment6 pages, 7 figures, accepted for publication in the open-access journal MNRAS
References in corpus (8)
- Detecting order and chaos in Hamiltonian systems by the SALI method
- Chaotic diffusion in the Solar System
- Chaotic Diffusion of Resonant Kuiper Belt Objects
- Stickiness in a bouncer model: A slowing mechanism for Fermi acceleration
- Chaotic Diffusion in the Gliese-876 Planetary System
- Global and Local diffusion in the Standard Map
- Shannon Entropy Applied to the Planar Restricted Three-Body Problem
- A dynamical survey of the trans-Neptunian region I.: Mean-motion resonances with Neptune