Abstract

Context. The stellar migration of the galactic disc stars has been invoked to explain the dispersion of stellar metallicity observed in the solar neighbourhood. Aims. We seek to identify the dynamical mechanisms underlying stellar migration in an isolated galaxy disc under the influence of a bar. Our approach is to analyse the diffusion of dynamical quantities. Methods. We extend our previous work by exploring Chirikov’s diffusion rate (and derived timescale) of the radial action JR in an idealised N-body simulation of an isolated disc galaxy. We limit our study to the evolution of the disc region well after the formation of the bar, in a regime of adiabatic evolution. Results. The JR diffusion timescale TD(JR) is less than 3 Gyr for roughly half the galaxy mass. It is always much shorter than the angular momentum diffusion timescale TD(Lz) outside the stellar bar. In the disc, ⟨TD(JR)⟩ ∼ 1 Gyr. All non-axisymmetric morphological structures that are characteristic of resonances and waves in the disc are associated to particles with TD(JR) < 3 Gyr and TD(Lz) > 10 Gyr. Short TD(JR) can be explained by the gradual de-circularisation of initially circular orbits (JR = 0) under the effect of intermittent. Inner Linblad resonance scattering by wave trains propagating in the disc, well beyond the outer Lindblad resonance of the bar (OLR). This leads to a moderate secular heating of the disc beyond the bar’s OLR for 7 Gyr, which is comparable to solar neighbourhood observations. The complex multi-wave structure, mixing permanent and intermittent modes, allows for multiple resonance overlaps.

Highlights

  • In Wozniak (2020), we used, for the first time, the formulation of the diffusion rates introduced by Chirikov (1979), applied to both specific energy E and angular momentum Lz in self-consistent N-body experiments of isolated galactic discs

  • We extend our previous work focusing on the radial action JR

  • After reintroducing some basic notations and concepts in galactic dynamics and detailing how JR is estimated in our simulations (Sect. 2), we present the results on the Chirikov diffusion timescale of JR in Sect

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Summary

Introduction

In Wozniak (2020), we used, for the first time, the formulation of the diffusion rates introduced by Chirikov (1979), applied to both specific energy E and angular momentum Lz in self-consistent N-body experiments of isolated galactic discs. The introduction of the Chirikov diffusion rate makes it possible to quantify the impact of the accumulation of small fluctuations in energy, angular momentum, and radial action over time. This quantity takes all variations weighted by all timescales into account.

Dynamical concepts
Numerical implementation
Wozniak
DF in Lz and JR
DF time evolution
Fourier spectrograms
Resonance overlaps
Findings
Discussion
Conclusions
Full Text
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