N-body simulations of dark matter with frequent self-interactions
Moritz S. Fischer, Marcus Br\"uggen, Kai Schmidt-Hoberg, Klaus Dolag,, Felix Kahlhoefer, Antonio Ragagnin, Andrew Robertson

TL;DR
This paper introduces a new effective drag force method in N-body simulations to model frequent dark matter self-interactions, enabling detailed comparisons between different SIDM models and their astrophysical signatures.
Contribution
The authors develop and implement a novel approach to simulate frequent dark matter self-interactions using an effective drag force in N-body simulations, addressing previous numerical challenges.
Findings
Frequent interactions can produce larger galaxy-dark matter offsets in mergers.
The new method accurately models frequent scattering in test problems.
Differences between rare and frequent SIDM models are highlighted in core formation and merger outcomes.
Abstract
Self-interacting dark matter (SIDM) models have the potential to solve the small-scale problems that arise in the cold dark matter paradigm. Simulations are a powerful tool for studying SIDM in the context of astrophysics, but it is numerically challenging to study differential cross-sections that favour small-angle scattering, as in light-mediator models. Here, we present a novel approach to model frequent scattering based on an effective drag force, which we have implemented into the N-body code gadget-3. In a range of test problems, we demonstrate that our implementation accurately models frequent scattering. Our implementation can be used to study differences between SIDM models that predict rare and frequent scattering. We simulate core formation in isolated dark matter haloes, as well as major mergers of galaxy clusters and find that SIDM models with rare and frequent interactions…
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