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The field of a uniformly magnetized rotating sphere is studied with special attention to the surface where the electric and magnetic fields are orthogonal to each other. The equation of this surface, valid at arbitrary distances from the…

High Energy Astrophysical Phenomena · Physics 2015-10-27 V. Epp , M. A. Masterova

We formulate variation principle for force-free magnetosphere of an inclined pulsar: ${\cal E} +{\bf \Omega}\cdot {\bf M}$ ($\cal E$, ${\bf M}$ are electromagnetic energy and angular momentum, ${\bf \Omega}$ is the angular velocity of a…

Astrophysics · Physics 2009-11-11 Andrei Gruzinov

We consider magnetospheric structure of rotating neutron stars with internally twisted axisymmetric magnetic fields. The twist-induced and rotation-induced toroidal magnetic fields align/counter-align in different hemispheres. Using…

High Energy Astrophysical Phenomena · Physics 2021-04-19 Maxim Lyutikov , Praveen Sharma , Maxim Barkov

The luminosity and structure of neutron star magnetospheres are crucial to our understanding of pulsar and plerion emission. A solution found using the force-free approximation would be an interesting standard with which any model with more…

Astrophysics · Physics 2009-11-11 Jonathan C. McKinney

Here we briefly report on results of self-consistent numerical modeling of a differentially rotating force-free magnetosphere of an aligned rotator. We show that differential rotation of the open field line zone is significant for adjusting…

Astrophysics · Physics 2008-11-26 Andrey N. Timokhin

We consider the force-free magnetosphere of an aligned rotator. Its structure is well described by a Grad-Shafranov equation for poloidal magnetic field, the so-called "pulsar equation". We solve this equation by a multigrid method with…

Astrophysics · Physics 2009-11-13 Andrey Timokhin

We conduct force-free simulations of a single neutron star undergoing orbital motion in flat spacetime, mimicking the trajectory of the star about the center of mass on a compact binary system. Our attention is focused on the kinetic energy…

High Energy Astrophysical Phenomena · Physics 2020-03-18 Federico Carrasco , Masaru Shibata

We have explored the magnetosphere described by a numerical solution for an axisymmetric rotating field satisfying the force-free and ideal MHD conditions everywhere. The electric current distribution is determined by the requirement of…

Astrophysics · Physics 2009-11-07 Jun Ogura , Yasufumi Kojima

The self-consistent two-fluid model of the pulsar magnetosphere is considered. We concentrate on the case of vanishingly small inertia of the particles. Our approach allows to obtain the realistic particle distributions sustaining the…

High Energy Astrophysical Phenomena · Physics 2015-06-23 S. A. Petrova

We consider a model of axisymmetric neutron star magnetosphere. In our approach, the current density in the region of open field lines is constant and the returning current flows in a narrow layer along the separatrix. In this case, the…

Astrophysics · Physics 2009-10-30 V. S. Beskin , L. M. Malyshkin

We investigate the three-dimensional structure of the pulsar magnetosphere through time-dependent numerical simulations of a magnetic dipole that is set in rotation. We developed our own Eulerian finite difference time domain numerical…

Astrophysics · Physics 2009-11-13 Constantinos Kalapotharakos , Ioannis Contopoulos

The canonical pulsar magnetosphere contains a bubble of closed magnetic field lines that is separated from the open lines by current sheets, and different branches of such sheets intersect at a critical line on the light cylinder (LC). The…

High Energy Astrophysical Phenomena · Physics 2017-02-08 Fan Zhang

Aims. Many recent observations of pulsars and magnetars can be interpreted in terms of neutron stars (NS) with multipole electromagnetic fields. As a first approximation, we investigate the multipole magnetic and electric fields in the…

High Energy Astrophysical Phenomena · Physics 2020-07-07 S. Bonazzola , F. Mottez , J. Heyvaerts

Ideal axisymmetric pulsar magnetosphere is calculated from the standard stationary force-free equation but with a new boundary condition at the equator. The new solution predicts Ohmic heating. About 50% of the Poynting power is dissipated…

High Energy Astrophysical Phenomena · Physics 2011-02-01 Andrei Gruzinov

Rapidly rotating neutron stars blow a relativistic, magnetized wind mainly composed of electron-positron pairs. The free expansion of the wind terminates far from the neutron star where a weakly magnetized pulsar wind nebula forms, implying…

High Energy Astrophysical Phenomena · Physics 2017-11-29 Benoît Cerutti , Alexander A. Philippov

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

We present the first self-consistent global simulations of pulsar magnetospheres with operating $e^\pm$ discharge. We focus on the simple configuration of an aligned or anti-aligned rotator. The star is spun up from zero (vacuum) state to a…

High Energy Astrophysical Phenomena · Physics 2014-10-28 Alexander Y. Chen , Andrei M. Beloborodov

Stationary pulsar magnetospheres in the force-free system are governed by the pulsar equation. In 1999, Contopoulos, Kazanas, and Fendt (hereafter CKF) numerically solved the pulsar equation and obtained a pulsar magnetosphere model called…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Yohsuke Takamori , Hirotada Okawa , Makoto Takamoto , Yudai Suwa

Recent advances in numerical algorithms and computational power have enabled first-principles simulations of pulsar magnetospheres using Particle-in-Cell (PIC) techniques. These ab-initio simulations seem to indicate that pair creation…

High Energy Astrophysical Phenomena · Physics 2020-02-05 Alexander Y. Chen , Fabio Cruz , Anatoly Spitkovsky

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