N -body chaos, phase-space transport and relaxation in numerical simulations

Using direct N -body simulations of self-gravitating systems we study the dependence of dynamical chaos on the system size N . We find that the N -body chaos quantified in terms of the largest Lyapunov exponent Λ max decreases with N . The values of its inverse (the so-called Lyapunov time t λ ) are...

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Bibliographic Details
Published inProceedings of the International Astronomical Union Vol. 14; no. S351; pp. 426 - 429
Main Authors Di Cintio, Pierfrancesco, Casetti, Lapo
Format Journal Article
LanguageEnglish
Published Cambridge Cambridge University Press 01.05.2019
Subjects
Astronomy
Celestial bodies
Computer simulation
Gravitation
Liapunov exponents
Relaxation time
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ISSN1743-9213
1743-9221
DOI10.1017/S1743921319006744

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Summary:Using direct N -body simulations of self-gravitating systems we study the dependence of dynamical chaos on the system size N . We find that the N -body chaos quantified in terms of the largest Lyapunov exponent Λ max decreases with N . The values of its inverse (the so-called Lyapunov time t λ ) are found to be smaller than the two-body collisional relaxation time but larger than the typical violent relaxation time, thus suggesting the existence of another collective time scale connected to many-body chaos.
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content type line 14
ISSN:1743-9213
1743-9221
DOI:10.1017/S1743921319006744