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It is shown that conserved charges associated with a specific subclass of gauge symmetries of Maxwell electrodynamics are proportional to the well known electric multipole moments. The symmetries are residual gauge transformations surviving…

High Energy Physics - Theory · Physics 2017-08-02 Ali Seraj

In 2+1 dimensions, the evolution of flow under the influence of an external electromagnetic field is simulated. The external electromagnetic field is exponentially decaying with time. Under the same initial conditions, flow evolution with…

Nuclear Theory · Physics 2017-05-24 Bohao Feng , Zeyan Wang

The properties of a one space-dimension, one particle dynamical system under the influence of a purely dissipative force are investigated. Assuming this force depends only on the velocity, it is demonstrated, in contrast to the case of…

Computational Physics · Physics 2014-05-19 Ronald E. Mickens , Kale Oyedeji

We prove a central limit theorem for the momentum distribution of a particle undergoing an unbiased spatially periodic random forcing at exponentially distributed times without friction. The start is a linear Boltzmann equation for the…

Mathematical Physics · Physics 2015-05-14 Jeremy Clark , Christian Maes

We study the long term evolution of magnetic fields generated by an initially unmagnetized collisionless relativistic $e^+e^-$ shock. Our 2D particle-in-cell numerical simulations show that downstream of such a Weibel-mediated shock,…

Astrophysics · Physics 2009-06-23 Philip Chang , Anatoly Spitkovsky , Jonathan Arons

We consider a gas composed of a single family of standard model leptons which are approximately massless and trapped inside a charged rotating shell. Due to the magnetic vortical effect, the leptons gain momentum in the direction of the…

High Energy Physics - Theory · Physics 2018-05-15 Evgeny Shaverin

Following Prendergast we study the relativistically expanding electromagnetic fields generated by an axisymmetric explosion of magnetic energy in a small volume. The magnetic field expands uniformly either within a cone or in all directions…

Astrophysics · Physics 2009-11-13 K. N. Gourgouliatos , D. Lynden-Bell

The manuscript deals with electron acceleration by a laser pulse in a plasma with a static uniform magnetic field $B_*$. The laser pulse propagates perpendicular to the magnetic field lines with the polarization chosen such that…

Plasma Physics · Physics 2020-04-08 A. Arefiev , Z. Gong , A. P. L. Robinson

We study particle motion in rotating saddle-shaped potentials. It is known that such rotating potentials can generate bounded motion for particles with a parabolic dispersion law through the combination of potential, centrifugal and…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 Johan Nilsson

The energy-impulse flow of electromagnetic field, produced by the arbitrary moving charged particle, through the sphere of large radius is calculated. The result formulae are used in problem of radiation produced by hyperbolically moving…

Optics · Physics 2013-01-21 V. V. Lidsky

From the energy-momentum tensors of the electromagnetic field and the mechanical energy-momentum, the equations of energy conservation and balance of electromagnetic and mechanical forces are obtained. The equation for the Abraham force in…

Classical Physics · Physics 2017-05-25 Yurii A. Spirichev

When a charge accelerates, its field-lines curve in a typical pattern. This pattern resembles the curvature induced on the field-lines by a neighboring charge. Not only does the latter case involve a similar curvature, it moreover results…

General Physics · Physics 2012-08-28 Avshalom C. Elitzur , Eliahu Cohen , Paz Beniamini

Intrinsic flow in plasma physics is a long-standing puzzle, since it is difficult to understand its origin without contradiction to momentum conservation in conventional wisdom. It is proved that the electromagnetic turbulent acceleration…

Plasma Physics · Physics 2017-02-01 Shuitao Peng , Lu Wang

The classical electromagnetic self-force on an arbitrary time-dependent electric or magnetic dipole moving with constant velocity in vacuum, and in a medium, is considered. Of course, in vacuum there is no net force on such a particle.…

High Energy Physics - Theory · Physics 2021-01-04 Kimball A. Milton , Hannah Day , Yang Li , Xin Guo , Gerard Kennedy

Using a three dimensional relativistic particle-in-cell code we have performed numerical experiments of plasma shells colliding at relativistic velocities. Such scenarios are found in many astrophysical objects e.g. the relativistic outflow…

Astrophysics · Physics 2007-05-23 C. B. Hededal , J. Trier Frederiksen , T. Haugboelle , Å. Nordlund

In relativistic mechanics the energy-momentum of a free point mass moving without acceleration forms a four-vector. Einstein's celebrated energy-mass relation E=mc^2 is commonly derived from that fact. By contrast, in Newtonian mechanics…

Classical Physics · Physics 2015-05-30 Anatoli Babin , Alexander Figotin

The classical theory of electrodynamics is built upon Maxwell's equations and the concepts of electromagnetic field, force, energy and momentum, which are intimately tied together by Poynting's theorem and the Lorentz force law. Whereas…

Classical Physics · Physics 2014-09-18 Masud Mansuripur

The wave function $\psi$ is interpreted as charge density, or charge distribution, at each point in space. This is a physical interpretation of $\psi$. The notion of speed can be associated with $\psi$, which leads to the concept of…

General Physics · Physics 2007-05-23 Koen J. van Vlaenderen

The standard derivations of electromagnetic energy and momentum in media take Maxwell's equations as the starting point. It is well known that for dispersive media this approach does not directly yield exact expressions for the energy and…

Optics · Physics 2015-05-19 T. G. Philbin

We perform analytical and numerical analyses of the propulsion of a rigid body in a viscous fluid subjected to a periodic force with zero average over a period. This general formulation specifically addresses the significant case, where…

Analysis of PDEs · Mathematics 2025-10-27 Joris Edelmann , Giovanni P. Galdi , Mher M. Karakouzian , Thomas Richter