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Table C.1.

Input parameters used in the simulations for the different flare scenarios.

Parameter Variable Value Unit

Source
Initial magnetic field B0 0.04 G
Magnetic field configuration mB 1 -
Initial blob radius R0 2.8 × 1016 cm
Blob Doppler factor δ 29 -
Redshift z 0.0308 -
Angle to observer θ {0 ; 1} °

Evolution

Quiescent injection duration tinj 30 R/c
Quiescent escape timescale tesc 1 R/c
Beginning of expansion texp 0 R/c
Beginning of flaring tflare 2 R/c
Duration of flaring tdur 3 days*
Escape timescale during flaring tesc, flare 1 R/c

Continuous injection spectrum

Spectrum normalization inj 1.86 × 10−14 cm−3s−1
Spectrum slope αinj -2.23 -
Pivot Lorentz factor γinj, pivot 1.0 × 105 -
Cutoff Lorentz factor γinj, cut 5.8 × 105 -
Minimal injected Lorentz factor γinj, min 800 -

Flaring injection spectrum

Spectrum normalization add 4 × 10−14 cm−3s−1
Spectrum slope αadd -2.23 -
Pivot Lorentz factor γadd, pivot 1.0 × 105 -
Cutoff Lorentz factor γadd, cut 5.8 × 105 -
Minimal injected Lorentz factor γadd, min 800 -

Particle acceleration

Fermi I reacceleration timescale tFI [0.7 − 2.0] R/c
Turbulent spectrum slope q 2 -
Maximum spectrum wavelength λmax [0 − 1] R
Turbulence level turb [0 − 1] -

Simulation grids

Minimal electron Lorentz factor γmin 100 -
Maximal electron Lorentz factor γmax 1.0 × 107 -
Lorentz factor grid’s points nγ 200 -
Simulation start time tstart 0 R/c
Simulation end time tend 30 R/c
Time grid’s bins nbins 1000 -

Notes. Curly brackets indicate different choices made for a parameter depending on the scenario. *The duration of flaring is given in units of days in the observer frame.

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