Hydrodynamic modelling of dust destruction in supernova remnants


Hydrodynamical simulation of the temporal evolution of the spatial gas density when the reverse shock impacts a Cas A clump. Our simulations were performed on the DiRAC@Cambridge Service and show that the clump is disrupted within ∼60 years. (Adapted from Kirchschlager et al. 2019).
Fig. 1 - Hydrodynamical simulation of the temporal evolution of the spatial gas density when the reverse shock impacts a Cas A clump. Our simulations were performed on the DiRAC@Cambridge Service and show that the clump is disrupted within ∼60 years. (Adapted from Kirchschlager et al. 2019).

Surviving silicate dust mass as a function of the initial grain size, a_peak, and density contrast χ between clump and ambient medium (Kirchschlager et al. 2019).
Fig. 2 - Surviving silicate dust mass as a function of the initial grain size, a_peak, and density contrast χ between clump and ambient medium (Kirchschlager et al. 2019).

It is well established that (sub-)micron sized dust grains can form in over-dense gas clumps in the expanding ejecta of supernova remnants. However, highly energetic shock waves occur in the ejecta which can potentially destroy a large fraction of the newly formed dust grains. The gas in the ejecta can be heated up to billions of Kelvins and is accelerated to a few hundred kilometere per second, which causes thermal and kinematic sputtering of the dust grains. Moreover, dust grains can collide with each other at high velocities and get fragmented or even vaporized. Previous predictions for dust survival rates depend strongly on initial parameters and range from less than 0.1% to 99%. The net dust survival rate is crucial for determining whether or not supernovae significantly contribute to the dust budget in the interstellar medium.

In order to model a shock wave interacting with an ejecta clump we have performed hydrodynamics simulations using the grid-based code AstroBEAR (Carroll-Nellenback et al. 2013), see Fig. 1. Afterwards, dust motions and dust destruction rates are computed using our newly developed external post-processing code, Paperboats, which includes gas and plasma drag, grain charging, kinematic and thermal sputtering as well as grain-grain collisions. We have used DiRAC HPC Facilities to determine the dust survival rates for the oxygen-rich supernova remnant Cassiopeia A for a huge range of parameters, including initial grain sizes, dust materials and clump gas densities.

We find that up to 40% of the silicate dust (Fig. 2) and up to 30% of the carbon dust mass is able to survive the passage of the reverse shock. The survival rates depend strongly on the initial grain size distribution, with ∼ 10−50 nm and ∼ 0.5−1.5 µm as the grain radii that show the highest surviving dust masses. The dust processing causes a rearranging of the initial grain size distribution. Our results showed that grain-grain collisions and sputtering are synergistic and that grain-grain collisions can play a vital role in determining the surviving dust budget in supernova remnants. These results were presented by Kirchschlager et al. (2019).

Silicate Grain Growth due to Ion Trapping


The net yield, Ynet, giving the change in the number of atoms in a grain per incident oxygen ion as a function of the energy E of the incident oxygen ion. A positive yield corresponds to dust destruction; a negative yield corresponds to dust growth. When the energy of the incident oxygen ion is higher than the sputtering threshold energy, dust atoms can be sputtered. Left: trapping conditions are not fulfilled (oxygen particle escaping after the sputtering event) so the resulting net yield is equal to the regular sputtering yield, Ynet = 2 Ysp (red line). Right: the oxygen ion is trapped, so the net yield amounts to Ynet = 2Ysp - 1 (black line). For both cases, the incident oxygen atom is accreted at lower energies (green shaded region).
Fig. 3 - The net yield, Ynet, giving the change in the number of atoms in a grain per incident oxygen ion as a function of the energy E of the incident oxygen ion. A positive yield corresponds to dust destruction; a negative yield corresponds to dust growth. When the energy of the incident oxygen ion is higher than the sputtering threshold energy, dust atoms can be sputtered. Left: trapping conditions are not fulfilled (oxygen particle escaping after the sputtering event) so the resulting net yield is equal to the regular sputtering yield, Ynet = 2 Ysp (red line). Right: the oxygen ion is trapped, so the net yield amounts to Ynet = 2Ysp - 1 (black line). For both cases, the incident oxygen atom is accreted at lower energies (green shaded region).

Surviving dust mass, M, as a function of time, taking into account grain-grain collisions (GG) and sputtering (SP) with or without trapping or accretion of oxygen ions (different colors and line types). Oxygen trapping and gas accretion reduce the dust destruction significantly.
Fig. 4 - Surviving dust mass, M, as a function of time, taking into account grain-grain collisions (GG) and sputtering (SP) with or without trapping or accretion of oxygen ions (different colors and line types). Oxygen trapping and gas accretion reduce the dust destruction significantly.

Due to the high gas temperatures and shock velocities in supernova remnants, heavy energetic ions can penetrate deep into dust grains. For grain temperatures below ~500 K, the diffusion rate of oxygen and other heavy ions in silicates is very low and they are trapped once they have intruded into the grain. This process, called ion trapping, had not been considered so far as a measure to counteract grain destruction by sputtering.

Kirchschlager et al. (2020) have shown that in oxygen-rich supernova remnants such as Cassiopeia A, the penetration and trapping within silicate grains of the same impinging ions of oxygen, silicon, and magnesium that are responsible for grain surface sputtering can significantly reduce the net loss of grain material (Fig. 3). We have used Paperboats to follow the dust mass and grain size evolution in a shocked clump. We find for a pre-shock gas density contrast between clump and ambient medium of χ = 100 that ion trapping increases the surviving masses of silicate dust by factors of up to two to four, compared to cases where the effect is neglected and depending on initial grain radii (Fig. 4). The formation of grains larger than those that had originally condensed is facilitated and enables the presence of micron-sized grains in the post-shock medium. For higher density contrasts (χ ≥ 180), we find that the effect of gas accretion on the surface of dust grains can surpass ion trapping, and for χ = 256 the survival rate can increase to ∼55% of the initial dust mass.

References

last updated 06 July 2022