Free electron gas and electron–positron pair equilibrium in a magnetic field

Abstract The thermodynamic properties of electron gas under the extreme conditions high temperature, matter density, and/or a strong magnetic field largely determine behavior in upper layers neutron stars and accretion columns magnetized binary systems. A these objects makes motion electrons across essentially quantum. possible degeneracy relativism are also important. When studying onto magnetar system, intensive generation electron–positron pairs quantizing should be taken into account. We consider detail free fields, taking account their degeneracy, as well equilibrium creation high-temperature plasma presence field.