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This study examines the stability of Vlasov equilibrium solutions for magnetically confined plasmas, derived through the principle of maximum entropy. By treating the toroidal limit as a perturbation from an analytical cylindrical solution,…

Plasma Physics · Physics 2025-12-23 Aurélien Cordonnier , Yohann Lebouazda , Xavier Leoncini , Guilhem Dif-Pradalier

Upper bounds are derived on the amount of magnetic energy that can be generated by dynamo action in collisional and collisionless plasmas with and without external forcing. A hierarchy of mathematical descriptions is considered for the…

Plasma Physics · Physics 2017-01-11 P. Helander , M. Strumik , A. A. Schekochihin

A classical hydrodynamic approach is used to calculate the magnetoplasma excitations of two vertically coupled electron dots. The electrons are confined by different parabolic potentials in which case Kohn's theorem is no longer valid. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 B. Partoens , A. Matulis , F. M. Peeters

We derive a modified non-perturbative Lorentz-Abraham-Dirac equation. It satisfies the proper conservation laws, particularly, it conserves the generalized momentum, the latter property eliminates the symmetry-breaking runaway solution. The…

Classical Physics · Physics 2009-11-28 Igor V. Sokolov , Natalia M. Naumova , John A. Nees , Gerard A. Mourou , Victor P. Yanovsky

In magnetized plasmas gravitational and electromagnetic waves may interact coherently and exchange energy between themselves and with plasma flows. We derive the wave interaction equations for these processes in the case of waves…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Martin Servin , Gert Brodin

This paper presents a theoretical model of plasma equilibrium in the diamagnetic confinement mode in an axisymmetric mirror device with neutral beam injection. The hot ionic component is described within the framework of the kinetic theory,…

Plasma Physics · Physics 2025-02-17 Mikhail S. Khristo , Alexei D. Beklemishev

A self-consistent nonlinear hydrodynamic theory is presented of the propagation of a long and thin relativistic electron beam through a plasma that is relatively strongly magnetized, $|\Omega_e|\sim\omega_{pe}$ and whose density is much…

Plasma Physics · Physics 2018-07-04 Dusan Jovanovic , Renato Fedele , Milivoj Belic , Sergio De Nicola

The perturbations of a homogeneous non-relativistic two-component plasma are studied in the Coulomb gauge. Starting from the solution found [2] of the equations of electromagnetic self consistency in a plasma [1], we add small perturbations…

Plasma Physics · Physics 2007-05-23 Evangelos Chaliasos

There is a long-standing apparent conflict between the existence of diamagnetism and causality as expressed through the Kramers-Kronig relations. In essence, using causality arguments, along with a small number of seemingly well-justified…

Quantum Physics · Physics 2025-11-06 Niclas Westerberg , Stephen M. Barnett

The analytical and numerical investigations of the energy loss rate of the test particle in a magnetized electron plasma are developed on the basis of the Vlasov-Poisson equations, and the main results are presented. The Larmor rotation of…

Plasma Physics · Physics 2009-10-31 H. B. Nersisyan

We derive the classical dynamics of massless charged particles in a rigorous way from first principles. Since due to ultraviolet divergences this dynamics does not follow from an action principle, we rely on a) Maxwell's equations, b)…

High Energy Physics - Theory · Physics 2015-06-19 Kurt Lechner

A plasma blob is modeled as consisting of two homogeneous spheres of equal radius and equal but opposite charge densities that can move relative to each other. Relative translational and rotational motion are considered separately. Magnetic…

Plasma Physics · Physics 2010-07-02 Hanno Essen

It is possible to excite various linear and non-linear low-frequency modes in dusty plasma which is an admixture of electrons, ions, gas atoms, and negatively charged solid particles. The experimental as well as theoretical study of these…

Plasma Physics · Physics 2023-05-29 Mangilal Choudhary

The dynamics of the oscillator system is investigated. The conditions under which this dynamics becomes unstable are determined. In particular, it is shown that plasma in constant magnetic field becomes unstable if its density exceeds a…

Plasma Physics · Physics 2019-04-23 Vyacheslav Buts

Magnetic reconnection -- a fundamental plasma physics process, where magnetic field lines of opposite polarity annihilate -- is invoked in astrophysical plasmas as a powerful mechanism of nonthermal particle acceleration, able to explain…

High Energy Astrophysical Phenomena · Physics 2025-07-17 Lorenzo Sironi , Dmitri A. Uzdensky , Dimitrios Giannios

The electromagnetic modes possibly unstable in strongly magnetized plasmas are identified. The regime where this instability might stand out compared to the incoherent electron-cyclotron radiation is explored. These modes are relevant to…

Plasma Physics · Physics 2012-11-06 S. Son , Sung Joon Moon

The Lorentz force law of classical electrodynamics requires the introduction of hidden energy and hidden momentum in situations where an electric field acts on a magnetic material. In contrast, the Einstein-Laub formulation does not invoke…

Classical Physics · Physics 2014-09-23 Masud Mansuripur

Diamagnetism, in which the magnetisation in a medium opposes the direction of an applied magnetic field, is a weak but familiar effect in a wide class of materials. Being weak it is also a linear response to any applied field. The problem…

Quantum Physics · Physics 2025-09-15 Niclas Westerberg , Stephen M. Barnett

A regime where a uniformly magnetized plasma could be unstable to a spatial perturbation in the magnetic field is explored. In this regime, a uniformly magnetized state does not maximize the entropy. The physical implication is discussed in…

Plasma Physics · Physics 2015-06-04 S. Son , Sung Joon Moon

The standard equilibrium equation for magnetized plasma is extended to account for the magnetic polarization force. A factor of the pressure gradient arising from the magnetic decomposition of the Hall term survives the limit of vanishing…

Plasma Physics · Physics 2011-04-29 Robert W. Johnson