Complete energy balance relation in relativistic magnetic reconnection and its application for guide-field reconnection

Abstract

Energy balance equation for steady state Sweet-Parker reconnection in a relativistic regime is reanalyzed, employing a complete electromagnetic energy equation. A correction related to Vin is added with electric energy taken into account. The validity and meaning of the correction are demonstrated with the energy-momentum tensor. Predictions of the new scaling are compared with the previous ones. Energy calculation is also used in the cases with guide field, with a view to the role of the guide field for energy balance. And the relativistic tearing mode growth rate with guide field is discussed using the fluid model.