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Applicability of hybrid simulation results to supernova remnant scales

Ascertain how results from kinetic-protons fluid-electrons hybrid simulations indicating diffusion approaching the Bohm limit in amplified magnetic fields can be scaled and applied to length scales comparable to full supernova remnants, including a validated methodology for extrapolating microphysical findings to macroscopic shock environments.

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Background

Hybrid kinetic simulations have suggested that diffusion can reach the Bohm limit in amplified fields across most energies, but these simulations are conducted at much smaller spatial and temporal scales than supernova remnants. Bridging this scale gap is critical for reliable predictions of cosmic-ray transport and acceleration in astrophysical shocks.

The authors emphasize that without a clear scaling framework, it remains uncertain whether and how microphysical simulation results should inform macroscopic models of particle acceleration and magnetic turbulence in supernova remnants.

References

Kinetic-protons-fluid-electrons hybrid simulations imply that after a sufficient amount of time diffusion reaches the Bohm limit in the total amplified field at all energies except for the highest \citep{2014ApJ...794...47C}, but it should be understood that these simulations operate on much smaller scales and it is unclear how to apply these results to length-scales of order the remnant size.

How to turn a Supernova into a PeVatron (2504.20601 - Brose et al., 29 Apr 2025) in Section 2.2.1, Scattering problem