Comptonization by reconnection plasmoids in black hole coronae - III. Dependence on the guide field in pair plasma

We perform non-radiative two-dimensional particle-in-cell simulations of magnetic reconnection for various strengths of the guide field (perpendicular to the reversing field), in magnetically dominated electron-positron plasmas. Magnetic reconnection under such conditions could operate in accretion disc coronae around black holes. There, it has been suggested that the transrelativistic bulk motions of reconnection plasmoids containing inverse-Compton-cooled electrons could Compton-upscatter soft photons to produce the observed non-thermal hard X-rays. Our simulations are performed for magnetizations 3 <= sigma <= 40 (defined as the ratio of enthalpy density of the reversing field to plasma enthalpy density) and guide field strengths 0 <= B-g/B-0 <= 1 (normalized to the reversing field strength B-0). We find that the mean bulk energy of the reconnected plasma depends only weakly on the flow magnetization but strongly on the guide field strength - with B-g/B-0 = 1 yielding a mean bulk energy twice smaller than B-g/B-0 = 0. Similarly, the dispersion of bulk motions around the mean - a signature of stochasticity in the plasmoid chain's motions - is weakly dependent on magnetization (for sigma greater than or similar to 10) but strongly dependent on the guide field strength - dropping by more than a factor of two from B-g/B-0 = 0 to B-g/B-0 = 1. In short, reconnection in strong guide fields (B-g/B-0 similar to 1) leads to slower and more ordered plasmoid bulk motions than its weak guide field (B-g/B-0 similar to 0) counterpart.