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The dynamics of magnetic field decay with Hall drift is investigated. Assuming that axisymmetric magnetic fields are located in a spherical crust with uniform conductivity and electron number density, long-term evolution is calculated up to…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Yasufumi Kojima , Shota Kisaka

We study the non--linear evolution of magnetic fields in neutron star crusts with special attention to the influence of the Hall drift. Our goal is to understand the conditions for fast dissipation due to the Hall term in the induction…

Astrophysics · Physics 2008-11-26 J. A. Pons , U. Geppert

Dissipation of magnetic fields in Hall plasma of neutron star crusts may power persistent high energy emission of a class of strongly magnetized neutrons stars, magnetars. We consider development of a dissipative tearing mode in Hall plasma…

Astrophysics · Physics 2007-05-23 Maxim Lyutikov

The ohmic decay of magnetic fields in the crusts of neutron stars is generally believed to be governed by Hall drift which leads to what is known as a Hall cascade. Here we show that helical and fractionally helical magnetic fields undergo…

High Energy Astrophysical Phenomena · Physics 2020-09-18 Axel Brandenburg

In the solid crusts of neutron stars, the advection of the magnetic field by the current-carrying electrons, an effect known as Hall drift, should play a very important role as the ions remain essentially fixed (as long as the solid does…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Pablo Marchant , Andreas Reisenegger , Juan Alejandro Valdivia , Jaime H. Hoyos

We consider the evolution of magnetic fields under the influence of Hall drift and Ohmic decay. The governing equation is solved numerically, in a spherical shell with r_i/r_o = 0.75. Starting with simple free decay modes as initial…

Astrophysics · Physics 2016-08-16 R. Hollerbach , G. Rüdiger

Hall drift, i. e., transport of magnetic flux by the moving electrons giving rise to the electrical current, may be the dominant effect causing the evolution of the magnetic field in the solid crust of neutron stars. It is a nonlinear…

Astrophysics · Physics 2009-11-13 Andreas Reisenegger , Rafael Benguria , Joaquin P. Prieto , Pablo A. Araya , Dong Lai

Bearing in mind the application to the outer crust of the neutron stars (NSs), we investigate the magnetic field decay by means of the fully relativistic Particle-In-Cell simulations. Numerical computations are carried out in 2-dimensions,…

High Energy Astrophysical Phenomena · Physics 2015-05-20 Hiroyuki R. Takahashi , Kei Kotake , Nobutoshi Yasutake

We study dissipation process of magnetic fields in the metallicity range $0-1 Z_{\odot}$ for contracting prestellar cloud cores. By solving non-equilibrium chemistry for important charged species including charged grains, we evaluate the…

Solar and Stellar Astrophysics · Physics 2015-06-23 Hajime Susa , Kentaro Doi , Kazuyuki Omukai

We present calculations of magnetic field evolution by the Hall effect and Ohmic decay in neutron star crusts. We first discuss when and for which neutron stars the Hall effect is important relative to Ohmic decay. We compute the evolution…

Astrophysics · Physics 2008-11-26 Andrew Cumming , Phil Arras , Ellen G. Zweibel

We consider the effect of Hall-drift on the evolution of magnetic fields in neutorn star crusts using a finite difference code. Previously, most studies have focused on the situation where the ohmic term dominates the evolution. Here, we…

Astrophysics · Physics 2007-05-23 Mikael Sahrling

Primordial magnetic fields in the dark sector can be transferred to magnetic fields in the visible sector due to a gauge kinetic mixing term. We show that the transfer occurs when the evolution of magnetic fields is dominated by dissipation…

High Energy Physics - Phenomenology · Physics 2018-08-08 Kohei Kamada , Yuhsin Tsai , Tanmay Vachaspati

New results for attenuation and damping of electromagnetic fields in rigid conducting media are derived under the conjugate influence of inertia due to charge carriers and displacement current. Inertial effects are described by a relaxation…

Classical Physics · Physics 2009-03-03 F. E. M. Silveira , J. A. S. Lima

A magnetically dominated plasma driven by motions on boundaries at which magnetic field lines are anchored is forced to dissipate the work being done upon it, no matter how small the electrical resistivity. Numerical experiments have…

Astrophysics · Physics 2007-05-23 Aake Nordlund

We present solutions for Hall equilibria applicable to neutron star crusts. Such magnetic configurations satisfy a Grad-Shafranov-type equation, which is solved analytically and numerically. The solutions presented cover a variety of…

Solar and Stellar Astrophysics · Physics 2015-06-16 K. N. Gourgouliatos , A. Cumming , A. Reisenegger , C. Armaza , M. Lyutikov , J. A. Valdivia

A conducting cylinder with a uniform magnetic field along its axis and radial temperature gradient is considered at the stationary state. At large temperature gradients the azimuthal Hall electrical current creates the axial magnetic field…

High Energy Astrophysical Phenomena · Physics 2025-12-22 G. S. Bisnovatyi-Kogan , M. V. Glushikhina

A pictorial explanation for shear-Hall instability is suggested and shows that the shear flow is not necessary for the instability because its role can be played by the Hall effect of an inhomogeneous background magnetic field. Linear…

Plasma Physics · Physics 2017-10-04 L. L. Kitchatinov

The magnetic field in Hall plasmas is frozen in the electron component and is advected not only with the plasma motion but also with the electrical current flow. Its coupling with the plasma may be not as strong as characteristic of the MHD…

Astrophysics · Physics 2009-11-06 L. I. Rudakov

In the presence of a strong magnetic field and under conditions as realized in the crust and the superfluid core of neutron stars the Hall--drift dominates the field evolution. We show by a linear analysis that for a sufficiently strong…

Astrophysics · Physics 2007-05-23 M. Rheinhardt , U. Geppert

We have studied the effect of an in-plane magnetic field on Hall field-induced resistance oscillations in high mobility two-dimensional electron systems. We have found that the oscillation frequency depends only on the perpendicular…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 A. T. Hatke , M. A. Zudov , L. N. Pfeiffer , K. W. West
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