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Thousands of planetesimals : Simulating the streaming instability in very large computational domains

Schäfer, Urs LU ; Johansen, Anders LU ; Haugbølle, Troels and Nordlund, A. Ke (2024) In Astronomy and Astrophysics 691.
Abstract

The streaming instability is a mechanism whereby pebble-sized particles in protoplanetary discs spontaneously come together in dense filaments, which collapse gravitationally to form planetesimals upon reaching the Roche density. The extent of the filaments along the orbital direction is nevertheless poorly characterised, due to a focus in the literature on small simulation domains where the behaviour of the streaming instability on large scales cannot be determined. We present here computer simulations of the streaming instability in boxes with side lengths up to 6.4 scale heights in the plane. This is 32 times larger than typically considered simulation domains and nearly a factor 1000 times the volume. We show that the azimuthal... (More)

The streaming instability is a mechanism whereby pebble-sized particles in protoplanetary discs spontaneously come together in dense filaments, which collapse gravitationally to form planetesimals upon reaching the Roche density. The extent of the filaments along the orbital direction is nevertheless poorly characterised, due to a focus in the literature on small simulation domains where the behaviour of the streaming instability on large scales cannot be determined. We present here computer simulations of the streaming instability in boxes with side lengths up to 6.4 scale heights in the plane. This is 32 times larger than typically considered simulation domains and nearly a factor 1000 times the volume. We show that the azimuthal extent of filaments in the non-linear state of the streaming instability is limited to approximately one gas scale height. The streaming instability will therefore not transform the pebble density field into axisymmetric rings; rather the non-linear state of the streaming instability appears as a complex structure of loosely connected filaments. Including the self-gravity of the pebbles, our simulations form up to 4000 planetesimals. This allows us to probe the high-mass end of the initial mass function of planetesimals with much higher statistical confidence than previously. We find that this end is well-described by a steep exponential tapering. Since the resolution of our simulations is moderate - a necessary trade-off given the large domains - the mass distribution is incomplete at the low-mass end. When putting comparatively less weight on the numbers at low masses, at intermediate masses we nevertheless reproduce the power-law shape of the distribution established in previous studies.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Hydrodynamics, Instabilities, Methods: numerical, Planets and satellites: formation, Protoplanetary disks
in
Astronomy and Astrophysics
volume
691
article number
A258
publisher
EDP Sciences
external identifiers
  • scopus:85209889652
ISSN
0004-6361
DOI
10.1051/0004-6361/202450639
language
English
LU publication?
yes
additional info
Publisher Copyright: © The Authors 2024.
id
5186c1cd-5bd7-4a18-b324-63e8fd9d285e
date added to LUP
2025-01-13 16:49:26
date last changed
2025-04-04 14:14:48
@article{5186c1cd-5bd7-4a18-b324-63e8fd9d285e,
  abstract     = {{<p>The streaming instability is a mechanism whereby pebble-sized particles in protoplanetary discs spontaneously come together in dense filaments, which collapse gravitationally to form planetesimals upon reaching the Roche density. The extent of the filaments along the orbital direction is nevertheless poorly characterised, due to a focus in the literature on small simulation domains where the behaviour of the streaming instability on large scales cannot be determined. We present here computer simulations of the streaming instability in boxes with side lengths up to 6.4 scale heights in the plane. This is 32 times larger than typically considered simulation domains and nearly a factor 1000 times the volume. We show that the azimuthal extent of filaments in the non-linear state of the streaming instability is limited to approximately one gas scale height. The streaming instability will therefore not transform the pebble density field into axisymmetric rings; rather the non-linear state of the streaming instability appears as a complex structure of loosely connected filaments. Including the self-gravity of the pebbles, our simulations form up to 4000 planetesimals. This allows us to probe the high-mass end of the initial mass function of planetesimals with much higher statistical confidence than previously. We find that this end is well-described by a steep exponential tapering. Since the resolution of our simulations is moderate - a necessary trade-off given the large domains - the mass distribution is incomplete at the low-mass end. When putting comparatively less weight on the numbers at low masses, at intermediate masses we nevertheless reproduce the power-law shape of the distribution established in previous studies.</p>}},
  author       = {{Schäfer, Urs and Johansen, Anders and Haugbølle, Troels and Nordlund, A. Ke}},
  issn         = {{0004-6361}},
  keywords     = {{Hydrodynamics; Instabilities; Methods: numerical; Planets and satellites: formation; Protoplanetary disks}},
  language     = {{eng}},
  month        = {{11}},
  publisher    = {{EDP Sciences}},
  series       = {{Astronomy and Astrophysics}},
  title        = {{Thousands of planetesimals : Simulating the streaming instability in very large computational domains}},
  url          = {{http://dx.doi.org/10.1051/0004-6361/202450639}},
  doi          = {{10.1051/0004-6361/202450639}},
  volume       = {{691}},
  year         = {{2024}},
}