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Table 1.

Parameters for the star and simulation.

Parameter Values
Dipole inclination ι 45° 90°
Dipole magnetic field Bdip, axis 1012 G
Star rotation period P 0.25 s
Star mass M 1.5 Ms
Star radius R 12 km

Domain size Lx 11 000Δx 11 000Δx 9000Δx
Domain size Ly 12000Δx
Grid cell size Δx 13.4 cm
Initial plasma skin depth de(n0)/Δx 14.93
Simulation time step Δt 0.2011 ns
Simulation time steps Tt 150 000
Polar cap angle θpc, Eq. (1) 2.01° 2.15° 2.20°
Polar cap transition angle Δθ/θpc 0.01
Current profile j/jGJ Eq. (5), Fig. 2
Particle decay threshold γthr 2 × 107
Secondary particle γsec 1 × 104
Friedman filter θFr 0.1

Initial macro-particle density representing n0 2 PPC
Initial and injection particle velocity u0/c 0.1
Initial density closed lines nclosed 50 n0
Absorbing boundary condition width labc 40Δx

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