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The Magnetodynamics, or Force-Free Degenerate Electrodynamics, is recognized as a very useful approximation in studies of magnetospheres of relativistic stars. In this paper we discuss various forms of Magnetodynamic equations which can be…

High Energy Astrophysical Phenomena · Physics 2015-05-30 S. S. Komissarov

Ultra-magnetized plasmas, where the magnetic field strength exceeds the Schwinger field of about $B_{Q}\approx4\times10^{13}$~gauss, become of great scientific interest, thanks to the current advances in laser-plasma experiments and…

Plasma Physics · Physics 2026-02-03 Mikhail V. Medvedev

The dynamics of cold strongly magnetized plasma -- traditionally the domain of force-free electrodynamics -- has recently been reformulated in terms of symmetries and effective field theory, where the degrees of freedom are the momentum and…

High Energy Physics - Theory · Physics 2022-03-09 Nabil Iqbal

Abridged. Fast rotating and self-gravitating astrophysical objects suffer strong deformations from centrifugal forces. If moreover they are magnetized, they generate an electromagnetic wave that is perturbed accordingly. When stellar…

High Energy Astrophysical Phenomena · Physics 2022-03-23 Jérôme Pétri

Magnetar magnetospheres are strongly twisted, and are able to power sudden energetic events through the rapid release of stored electromagnetic energy. In this paper, we investigate twisted relativistic force-free axisymmetric…

High Energy Astrophysical Phenomena · Physics 2023-11-15 D. Ntotsikas , K. N. Gourgouliatos , I. Contopoulos , S. K. Lander

This paper presents a coordinate free pre-metric formulation of charge free Maxwell-Minkowski electrodynamics, and of the developed by the authors non-linear Extended Electrodynamics. First we introduce some formal relations from…

Mathematical Physics · Physics 2016-04-01 Stoil Donev , Maria Tashkova

The magnetosphere structure of a magnetar is considered in the context of a theory of gravity with dynamical torsion field beyond the standard General Relativity (GR). To this end, the axially symmetric version of the Grad-Shafranov…

General Relativity and Quantum Cosmology · Physics 2018-12-12 Diego Julio Cirilo-Lombardo

Magnetospheres of many astrophysical objects can be accurately described by the low-inertia (or "force-free") limit of MHD. We present a new numerical method for solution of equations of force-free relativistic MHD based on the…

Astrophysics · Physics 2011-02-11 Anatoly Spitkovsky

Abstract: Assuming that the numerical diffusivity triggered by violations of the force-free electrodynamics constraints is a proxy for the physical resistivity, we examine its impact on the overall dynamics of force-free aligned pulsar…

High Energy Astrophysical Phenomena · Physics 2021-10-13 J. F. Mahlmann , M. A. Aloy

An oblique pulsar magnetosphere with a plasma conductivity is studied by using a pseudo-spectral method. In the pseudo-spectral method, the time-dependent Maxwell equations are solved, both electric and magnetic fields are expanded in terms…

High Energy Astrophysical Phenomena · Physics 2016-07-27 Gang Cao , Li Zhang , Sineng Sun

In 1933-1934 Born and Infeld constructed the first non-linear generalization of Maxwell's electrodynamics that turned out to be a remarkable theory in many respects. In 1935 Heisenberg and Euler computed a complete effective action…

High Energy Physics - Theory · Physics 2022-09-07 Dmitri P. Sorokin

The Euler-Heisenberg effective Lagrangian is used to obtain general expressions for electric and magnetic fields induced by non-linearity, to leading order in the non-linear expansion parameter, and for quasistatic situations. These…

High Energy Physics - Phenomenology · Physics 2015-05-13 C. A. Dominguez , H. Falomir , M. Ipinza , M. Loewe , J. C. Rojas

The electromagnetic fields in Maxwell's theory satisfy linear equations in the classical vacuum. This is modified in classical non-linear electrodynamic theories. To date there has been little experimental evidence that any of these…

Mathematical Physics · Physics 2015-05-14 T. Dereli , R. W. Tucker

We investigate the dynamical spin polarization of a massless electron probing an electron plasma in locally thermal equilibrium via the Moller scattering from the quantum kinetic theory. We derive an axial kinetic equation delineating the…

High Energy Physics - Phenomenology · Physics 2022-07-12 Shuo Fang , Shi Pu , Di-Lun Yang

In this paper we investigate vacuum nonlinear electrodynamics corrections on rapidly rotating pulsar radiation and spin-down in the perturbative QED approach (post-Maxwellian approximation). An analytical expression for the pulsar's…

High Energy Astrophysical Phenomena · Physics 2016-11-23 V. I. Denisov , I. P. Denisova , A. B. Pimenov , V. A. Sokolov

We introduce an ansatz for force-free electrodynamics in Minkowski spacetime under which the nonlinear system reduces to a semilinear scalar wave equation depending on two spacetime variables. This reduction yields explicit time-dependent…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Yafet E. Sanchez Sanchez

In nonlinear electrodynamics, QED included, we find a static solution to the field equations with an electric charge as its source, which is comprised of homogeneous parallel magnetic and electric fields, and a radial…

High Energy Physics - Theory · Physics 2015-09-09 Tiago C. Adorno , Dmitry M. Gitman , Anatoly E. Shabad

The classical theory of electrodynamics cannot explain the existence and structure of electric and magnetic dipoles, yet it incorporates such dipoles into its fundamental equations, simply by postulating their existence and properties, just…

Optics · Physics 2015-03-10 Masud Mansuripur

Super-strongly magnetized plasmas play a crucial role in extreme environments of magnetar and laboratory laser experiments, demanding comprehensive understanding of how quantum electrodynamic (QED) effects influence plasma behaviour.…

Plasma Physics · Physics 2025-07-04 Mahmoud Alawashra , Jan Benáček , Martin Pohl , Mikhail Medvedev

We consider the nonlinearly extended Einstein-Maxwell-axion theory, which is based on the account for two symmetries: first, the discrete symmetry associated with the properties of the axion field, second, the Jackson's symmetry,…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Alexander B. Balakin , Vladimir V. Bochkarev , Albina F. Nizamieva