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All numerical solutions of the pulsar magnetosphere over the past 25 years show closed-line regions that end a significant distance inside the light cylinder, and manifest thick strongly dissipative separatrix surfaces instead of thin…

High Energy Astrophysical Phenomena · Physics 2026-01-14 Ioannis Dimitropoulos , Evaggelos Chaniadakis , Ioannis Contopoulos

In this study, Physics-Informed Neural Networks (PINNs) are skilfully applied to explore a diverse range of pulsar magneto-spheric models, specifically focusing on axisymmetric cases. The study successfully reproduced various axisymmetric…

High Energy Astrophysical Phenomena · Physics 2023-10-11 Petros Stefanou , Jorge F. Urbán , José A. Pons

Pulsar spindown forms a reliable yet enigmatic prototype for the energy loss processes in many astrophysical objects including accretion disks and back holes. In this paper we review the physics of pulsar magnetospheres, concentrating on…

Astrophysics · Physics 2009-11-11 Anatoly Spitkovsky

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 non-dissipative relativistic force-free condition should be a good approximation to describe the electromagnetic field in much of the pulsar magnetosphere, but we may plausibly expect it to break down in singular domains.…

Astrophysics · Physics 2009-11-10 Simon P. Goodwin , Jonathan Mestel , Leon Mestel , Geoffrey A. E. Wright

Using Physics-Informed Neural Networks (PINNs) to solve a specific boundary value problem is becoming more popular as an alternative to traditional methods. However, depending on the specific problem, they could be computationally expensive…

High Energy Astrophysical Phenomena · Physics 2023-07-06 Jorge F. Urbán , Petros Stefanou , Clara Dehman , José A. Pons

We investigate in details properties of stationary force-free magnetosphere of aligned rotator assuming the last closed field line lying in equatorial plane at large distances from pulsar. The pulsar equations is solved numerically using…

Astrophysics · Physics 2009-11-11 A. N. Timokhin

We present, for the first time, the structure of the axisymmetric force-free magnetosphere of an aligned rotating magnetic dipole, in the case in which there exists a sufficiently large charge density (whose origin we do not question) to…

Astrophysics · Physics 2011-07-18 Ioannis Contopoulos , Demosthenes Kazanas , Christian Fendt

The pulsar magnetosphere is divided into a corotating region of closed field lines surrounded by open field lines that emanate from the two poles of the star, extend to infinity and are separated by an equatorial current sheet. The three…

High Energy Astrophysical Phenomena · Physics 2023-09-20 I. Contopoulos , D. Ntotsikas , K. N. Gourgouliatos

(abridged) Pulsar activity and its related radiation mechanism are usually explained by invoking some plasma processes occurring inside the magnetosphere. Despite many detailed local investigations, the global electrodynamics around those…

High Energy Astrophysical Phenomena · Physics 2015-06-05 J. Pétri

We perform first-principles relativistic particle-in-cell simulations of aligned pulsar magnetosphere. We allow free escape of particles from the surface of a neutron star and continuously populate the magnetosphere with neutral pair plasma…

High Energy Astrophysical Phenomena · Physics 2015-10-08 Alexander Philippov , Anatoly Spitkovsky

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

The stationary axisymmetric force-free magnetosphere of a pulsar is considered. We present an exact dipolar solution of the pulsar equation, construct the magnetospheric model on its basis and examine its observational support. The new…

High Energy Astrophysical Phenomena · Physics 2016-08-30 S. A. Petrova

We show that FFE (Force-Free Electrodynamics) describes pulsar magnetospheres -- even when radiation and particle wind power are comparable to the spin-down power. At the same time, we show that FFE is insufficient for calculating pulsar…

Astrophysics · Physics 2007-05-23 Andrei Gruzinov

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

The particle-in-cell approach has proven effective at modeling neutron star and black hole magnetospheres from first principles, but global simulations are plagued with an unrealistically small separation between the scales where…

High Energy Astrophysical Phenomena · Physics 2024-10-09 Adrien Soudais , Benoît Cerutti , Ioannis Contopoulos

We investigate the axisymmetric magnetosphere of an aligned rotating magnetic dipole surrounded by an ideal force-free plasma. We concentrate on the magnetic field structure around the point of intersection of the separatrix between the…

Astrophysics · Physics 2009-11-07 Dmitri A. Uzdensky

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

We apply a computationally efficient technique to validate the global structure of the pulsar magnetosphere. In this first of a series of studies, a 3D, computationally intensive, implicit Crank-Nicolson finite-difference scheme is…

High Energy Astrophysical Phenomena · Physics 2018-04-23 Sushilkumar Sreekumar , Eric M. Schlegel

The dipolar magnetic field structure of the neutron star is modified by the plasma originating in the pulsar magnetopshere. In the simplest case of a stationary axisymmetric force-free magnetosphere, a self-consistent description of the…

High Energy Astrophysical Phenomena · Physics 2015-06-12 S. A. Petrova
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