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A relativistically invariant expression for the magnetic and electric helicities of free electromagnetic field through the currents, which created those field, are derived. It is demonstrated that for radiative fields (e.g. laser pulses)…

Classical Physics · Physics 2023-10-31 R M Feshchenko , A V Vinogradov

The helicity of a magnetic field is a fundamental property that is conserved in ideal MHD. It can be explored in the stellar context by mapping large-scale magnetic fields across stellar surfaces using Zeeman-Doppler imaging. A recent study…

Solar and Stellar Astrophysics · Physics 2021-03-12 K. Lund , M. Jardine , A. J. B. Russell , J. -F. Donati , R. Fares , C. P. Folsom

The magnetoelectric (ME) effects are caused by interactions of the electrical and magnetic subsystems in a solid. Among the applications of ME effects, there are methods of magnetic reversal under the influence of an electrostatic field and…

Materials Science · Physics 2023-12-08 Bogdan Tanygin

Magnetic helicity is a fundamental quantity of magnetohydrodynamics that carries topological information about the magnetic field. By `topological information', we usually refer to the linkage of magnetic field lines. For domains that are…

Plasma Physics · Physics 2019-09-25 David MacTaggart , Alberto Valli

The paper investigates the influences of the helicity on the gravitational mass density, the field source, the charge continuity equation, and the mass continuity equation etc in the electromagnetic field and gravitational field. By means…

General Physics · Physics 2011-01-18 Zi-Hua Weng

Optical helicity density is usually discussed for monochromatic electromagnetic fields in free space. It plays an important role in the interaction with chiral molecules or nanoparticles. Here we introduce the optical helicity density in a…

Optics · Physics 2018-06-19 F. Alpeggiani , K. Y. Bliokh , F. Nori , L. Kuipers

In this work we present for the first time an exact solution of Maxwell equations in vacuum, having non trivial topology, in which there is an exchange of helicity between the electric and magnetic part of such field. We calculate the…

High Energy Physics - Theory · Physics 2012-02-08 Manuel Arrayás , José L. Trueba

This pedagogical note revisits the concept of electromagnetic helicity in classical systems. In particular, magnetic helicity and its role in mean field dynamo theories is briefly discussed highlighting the major mathematical inconsistency…

High Energy Astrophysical Phenomena · Physics 2020-04-17 Amir Jafari

Topological implications of the total generalized electron-flow magnetic helicity He in electron magnetohydrodynamics(EMHD) are explored. The invariance of He is shown to imply the invariance of the sum of the linkage of the magnetic field…

Plasma Physics · Physics 2019-05-01 B. K. Shivamoggi , M. Michalak

Maxwell's equations allow for some remarkable solutions consisting of pulsed beams of light which have linked and knotted field lines. The preservation of the topological structure of the field lines in these solutions has previously been…

Optics · Physics 2015-05-30 William T. M. Irvine

A solution of magnetic Hall equations for plasma filaments in the Coulomb gauge is obtained in the non-holonomic frame. Some physical features of the solution include, the non-conservation of the magnetic helicity and the decay of the…

Astrophysics · Physics 2007-10-26 L. C. Garcia de Andrade

In materials with an intrinsic magnetoelectric (ME) effect, the energy density comprises the polarization, magnetization and ME energy densities. These three components of energy define local (subwavelength) characteristics of…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 E. O. Kamenetskii

Magnetic fields of laboratory, planetary, stellar, and galactic plasmas commonly exhibit significant order on large temporal or spatial scales compared to the otherwise random motions within the hosting system. Such ordered fields can be…

Solar and Stellar Astrophysics · Physics 2015-06-18 Eric G. Blackman

In the past few years suggestions have emerged that the solar magnetic field might have a bi-helical component with oppositely polarized magnetic fields at large and small scales, and that the shedding of such fields may be crucial for the…

Astrophysics · Physics 2009-11-07 T. A. Yousef , A. Brandenburg

We study the evolution of a stochastic helical magnetic field generated in the early Universe after the electroweak phase transition, using standard magnetohydrodynamics (MHD). We find how the coherence length xi, magnetic energy E_M and…

Astrophysics · Physics 2017-08-23 Mark Hindmarsh , M. Christensson , A. Brandenburg

Isotropic homogeneous hydromagnetic turbulence is studied using numerical simulations at resolutions of up to 1024^3 meshpoints. It is argued that, in contrast to the kinematic regime, the nonlinear regime is characterized by a spectral…

Astrophysics · Physics 2007-05-23 A. Brandenburg , N. E. L. Haugen , W. Dobler

The dynamical characteristics of electromagnetic fields include energy, momentum, angular momentum (spin) and helicity. We analyze their spatial distributions near the planar interface between two transparent and non-dispersive media, when…

Optics · Physics 2018-03-20 Aleksandr Bekshaev

We characterize magnetic fields produced during electroweak symmetry breaking by non-dynamical numerical simulations based on the Kibble mechanism. The generated magnetic fields were thought to have an energy spectrum $\propto k^3$ for…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-25 Tanmay Vachaspati , Axel Brandenburg

We describe the interplay between electric-magnetic duality and higher symmetry in Maxwell theory. When the fine-structure constant is rational, the theory admits non-invertible symmetries which can be realized as composites of…

High Energy Physics - Theory · Physics 2023-08-01 Clay Cordova , Kantaro Ohmori

Under the influence of the material environment, electromagnetic fields in the near-field regime exhibit quite different nature from those in the far-field free space. A coupled state of an electromagnetic field with an electric or magnetic…

Optics · Physics 2015-05-20 E. O. Kamenetskii , R. Joffe , R. Shavit