Spontaneous growth of the reconnection electric field during magnetic reconnection with a guide field: A theoretical model and particle-in-cell simulations

Huang Kai^{1, 2}, Lu Quan-Ming^{1, 2, †}, Wang Rong-Sheng^{1, 2}, Wang Shui^{1, 2}

Time evolution of (a) the y directional electron current density J_ey / en₀v_A in the EDR, (b) the half width of EDR δ_e / d_i, (c) the half length of EDR L_e / d_i, (d) the electron density n_e in the EDR, and (e) the electron Larmor radius in the guide field r_L in the EDR. The initial perturbation amplitude is Ψ₀ / (B₀d_i) = 0.05.