Upper left: plasma temperature k_BT/(m_ec²) around the Kerr BH of spin parameter ξ = 0.5 and magnetic field strength parameter β = 400. The dark-gray dashed contour is the dyadoregion radius given by the condition $\stackrel{\sim }{E}=E_c$. Upper right: plasma parameter P/P_mag for the same parameters as the upper right plot. Lower left: plasma temperature at the horizon, k_BT₊/(m_ec²), as a function of the BH spin ξ = a/M, for selected values of the magnetic field β = 50 (blue), 200 (red), and 400 (green). Lower right: Plasma parameter at the horizon, P₊/P_mag, for the same parameter as the lower left plot. The temperature and pressure of the plasma are given in Eqs. (15) and (17), respectively.