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Table 1.
Fixed parameters set in the simulation with associated values based on previous literature.
| Parameter | Description | Value | Notes |
|---|---|---|---|
| t0 | Simulation start time | 9 years | – |
| tend | Simulation end time | 969 years | Stephenson & Green (2003) |
| BMax | Maximum magnetic field strength in PWN | 112 μG | Cao (2021) |
| Δt | Time step | 0.01 years | Based on constraints from Liu & Wang (2021). |
| Mej | Mass ejected in SN | 5 M⊙ | Fesen et al. (1997) |
| ESN | SN energy | 1051 erg | – |
| η | Fraction of ESN in protons in the reservoir | 7 × 10−5 | – |
| E0 | Proton normalisation energy | 1 GeV | – |
| Ė | Spin-down luminosity of the Crab pulsar at current time | 5 × 1038 erg s−1 | Hester (2008) |
| nISM | Proton density in ISM | 0.1 cm−3 | – |
| nTarget | Proton density in target material | 5 cm−3 | – |
| D | Distance to the Crab nebula | 2 kpc | Kaplan et al. (2008) |
| β | Diffusion coefficient relative to Bohm diffusion | 1 | – |
| Ninj | Pseudo-particles injected per time step | 2000 | – |
| E1 | Minimum pseudo-particle injection energy | 1 TeV | – |
| E2 | Maximum pseudo-particle injection energy | 50 TeV | – |
| S | Pseudo-particle injection spectral index | 1.2 | - |
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