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

Published online by Cambridge University Press:  11 March 2020

Pierfrancesco Di Cintio Open the ORCID record for Pierfrancesco Di Cintio [Opens in a new window]  and
Lapo Casetti
Pierfrancesco Di Cintio
Affiliation:
IFAC-CNR, Via Madonna del piano 10, I-50019, Sesto Fiorentino (FI), Italy email: [email protected] INFN, Sezione di Firenze, via G. Sansone 1, I-50019, Sesto Fiorentino (FI), Italy
Lapo Casetti
Affiliation:
INFN, Sezione di Firenze, via G. Sansone 1, I-50019, Sesto Fiorentino (FI), Italy Dipartimento di Fisica e Astronomia, Università di Firenze,via G. Sansone 1, I-50019, Sesto Fiorentino (FI), Italy INAF-Osservatorio astrofisico di Arcetri, largo E. Fermi 5, I-50125, Firenze, Italy
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Abstract

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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 Λmax decreases with N. The values of its inverse (the so-called Lyapunov time tλ) 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.

Keywords

stellar dynamicsgalaxies: kinematics and dynamicsmethods: n-body simulationsdiffusion.
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 14 , Symposium S351: Star Clusters: From the Milky Way to the Early Universe , May 2019 , pp. 426 - 429
Copyright
© International Astronomical Union 2020

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