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Hamiltonian intermittency and Lévy flights in the three-body problem. / Shevchenko, Ivan I.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 81, No. 6, 066216, 23.06.2010.

Research output: Contribution to journal › Article › peer-review

Harvard

Shevchenko, II 2010, 'Hamiltonian intermittency and Lévy flights in the three-body problem', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 81, no. 6, 066216. https://doi.org/10.1103/PhysRevE.81.066216

APA

Shevchenko, I. I. (2010). Hamiltonian intermittency and Lévy flights in the three-body problem. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 81(6), [066216]. https://doi.org/10.1103/PhysRevE.81.066216

Vancouver

Shevchenko II. Hamiltonian intermittency and Lévy flights in the three-body problem. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2010 Jun 23;81(6). 066216. https://doi.org/10.1103/PhysRevE.81.066216

Author

Shevchenko, Ivan I. / Hamiltonian intermittency and Lévy flights in the three-body problem. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2010 ; Vol. 81, No. 6.

BibTeX

@article{b9d8d390446b488d913faf78084f220e,
title = "Hamiltonian intermittency and L{\'e}vy flights in the three-body problem",
abstract = "We consider statistics of the disruption and Lyapunov times in an hierarchical restricted three-body problem. We show that at the edge of disruption the orbital periods and the size of the orbit of the escaping body exhibit L{\'e}vy flights. Due to them, the time decay of the survival probability is heavy-tailed with the power-law index equal to -2/3, while the relation between the Lyapunov and disruption times is quasilinear. Applicability of these results in an {"}hierarchical resonant scattering{"} setting for a three-body interaction is discussed.",
author = "Shevchenko, {Ivan I.}",
year = "2010",
month = jun,
day = "23",
doi = "10.1103/PhysRevE.81.066216",
language = "English",
volume = "81",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Hamiltonian intermittency and Lévy flights in the three-body problem

AU - Shevchenko, Ivan I.

PY - 2010/6/23

Y1 - 2010/6/23

N2 - We consider statistics of the disruption and Lyapunov times in an hierarchical restricted three-body problem. We show that at the edge of disruption the orbital periods and the size of the orbit of the escaping body exhibit Lévy flights. Due to them, the time decay of the survival probability is heavy-tailed with the power-law index equal to -2/3, while the relation between the Lyapunov and disruption times is quasilinear. Applicability of these results in an "hierarchical resonant scattering" setting for a three-body interaction is discussed.

AB - We consider statistics of the disruption and Lyapunov times in an hierarchical restricted three-body problem. We show that at the edge of disruption the orbital periods and the size of the orbit of the escaping body exhibit Lévy flights. Due to them, the time decay of the survival probability is heavy-tailed with the power-law index equal to -2/3, while the relation between the Lyapunov and disruption times is quasilinear. Applicability of these results in an "hierarchical resonant scattering" setting for a three-body interaction is discussed.

UR - http://www.scopus.com/inward/record.url?scp=77953994288&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.81.066216

DO - 10.1103/PhysRevE.81.066216

M3 - Article

AN - SCOPUS:77953994288

VL - 81

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 6

M1 - 066216

ER -

ID: 45988127