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.
N-body chaos, phase-space transport and relaxation in numerical simulations / Di Cintio, Pierfrancesco; Casetti, Lapo. - ELETTRONICO. - 14:(2020), pp. 426-429. (Intervento presentato al convegno IAU Symposium 351 Star clusters: from the Milky Way to the early universe tenutosi a Bologna) [10.1017/S1743921319006744].
N-body chaos, phase-space transport and relaxation in numerical simulations
Di Cintio, Pierfrancesco
;Casetti, Lapo
2020
Abstract
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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