Lifting of the degeneracy and the ideal gas approximation for electrons of a cold dense star with frozen superstrong magnetic field

Shul'man, G. A.; Sekerzhitskii, V. S.

doi:10.1007/bf01003158

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“…The statistical properties of electrons and positrons in strong electromagnetic fields were first considered in the 1930s by Heisenberg and Euler [70] when studying pair creation from a vacuum. The equilibrium number densities of electrons and positrons in a hot plasma in a quantizing magnetic field were first calculated in papers [71][72][73] (see also [74]). In the upper layers and atmospheres of neutron stars, of importance are the synchrotron radiation of the electron-positron pairs in the magnetic field [75] and photon emissions during spontaneous transitions between the Landau levels [76] (see also [77,Ch.…”

Section: Introductionmentioning

confidence: 99%

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

Бисноватый-Коган¹,

Kondratyev²

2021

Phys.-Usp.

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

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