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In this paper, the orbits of a charged particle near the event horizon of a magnetized black hole are investigated. For a static black hole of mass $M$ immersed in a homogeneous magnetic field $B$, the dimensionless parameter $b=eBGM/…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Noah P. Baker , Valeri P. Frolov

We study the motion of a charged particle under the action of a magnetic field with cylindrical symmetry. In particular we consider magnetic fields with constant direction and with magnitude depending on the distance $r$ from the symmetry…

Dynamical Systems · Mathematics 2019-02-05 Paolo Caldiroli , Gabriele Cora

We investigate the motion of massive charged and spinning test particles around a charged dyonic black hole spacetime surrounded by perfect fluid scalar dark matter field. We obtain the equations of motion and find the expressions for the…

General Relativity and Quantum Cosmology · Physics 2022-06-07 Sanjar Shaymatov , Pankaj Sheoran , Sanjay Siwach

On the basis of the Lorentz equations of motion, the orbit of a charge driven by a generic E.M. field with planar symmetry is formulated and analyzed within the framework of a Lorentzian geometry with a curvature whose order of magnitude is…

Mathematical Physics · Physics 2012-02-28 Kiam Heong Kwa

We investigate the relativistic generalization of the classical St\"{o}rmer problem, which describes the motion of charged particles in a purely magnetic dipole field. By incorporating special relativistic effects, the particle dynamics is…

High Energy Astrophysical Phenomena · Physics 2026-05-07 Tiberiu Harko , Francisco S. N. Lobo

The character of radiation of relativistic charged particles in strong magnetic fields largely depends on the disposition of particle trajectories relative to the field lines. The motion of particles with trajectories close to the curved…

High Energy Astrophysical Phenomena · Physics 2015-01-23 Stanislav Kelner , Felix Aharonian

Motion of a classical particle in 3-dimensional Lobachevsky and Riemann spaces is studied in the presence of an external magnetic field which is analogous to a constant uniform magnetic field in Euclidean space. In both cases three…

Mathematical Physics · Physics 2010-01-12 V. V. Kudryashov , Yu. A. Kurochkin , E. M. Ovsiyuk , V. M. Red'kov

The exact analytical description of non relativistic charge motion in general magnetic fields is, apparently, a simple problem but, it has not been solved up to now apart for rare cases. The key feature of the present derivation is to adopt…

Plasma Physics · Physics 2015-06-23 Claudio Di Troia

We study the acceleration of charged particles by ultra-relativistic shocks using test-particle Monte-Carlo simulations. Two field configurations are considered: (i) shocks with uniform upstream magnetic field in the plane of the shock, and…

High Energy Astrophysical Phenomena · Physics 2023-05-15 Zhi-Qiu Huang , Brian Reville , John G. Kirk , Gwenael Giacinti

Motion of a charged particle in uniform magnetic field has been studied in detail, classically as well as quantum mechanically. However, classical dynamics of a charged particle in non-uniform magnetic field is solvable only for some…

Quantum Physics · Physics 2020-06-08 Ranveer Kumar Singh

$O(\hbar)$ effects that modify the classical orbit of a charged particle are described for the case of a classical spin-1/2 particle moving in a constant magnetic field, using a manifestly covariant formalism reported previously. It is…

acc-phys · Physics 2008-02-03 Patrick L. Nash

The stability of charged particle motion in a uniform magnetic field with an added spatially uniform transverse rotating magnetic field (RMF) is studied analytically. It is found that the stability diagram of a single-particle's orbit…

Plasma Physics · Physics 2024-12-13 E. Palmerduca , H. Qin , S. A. Cohen

A generalized vector particle theory with the use of an extended set of Lorentz group irredicible representations, including scalar, two 4-vectors, and antisymmetric 2-rang tensor, is investigated. Initial equations depend upon four complex…

High Energy Physics - Theory · Physics 2007-05-23 V. V. Kisel , N. G. Tokarevskaya , A. A. Bogush , V. M. Red'kov

A new theory for the dynamics of the magnetic particles and their magnetic moments in ferrofluids is developed. Based on a generalized Lagrangian formulation for the equations of motion of the colloidal particle, we introduce its…

Statistical Mechanics · Physics 2007-05-23 Claudio Scherer , Hans-Georg Matuttis

We consider an inertial active Ornstein-Uhlenbeck particle in an athermal bath. The particle is charged, constrained to move in a two-dimensional harmonic trap, and a magnetic field is applied perpendicular to the plane of motion. The…

Statistical Mechanics · Physics 2022-08-31 M Muhsin , M Sahoo

Electron orbits are calculated in solitary two-dimensional axisymmetric electrostatic potential structures, typical of plasma electron holes, in order to establish the conditions for the particles to remain trapped. Analytic calculations of…

Space Physics · Physics 2020-08-10 I H Hutchinson

In this work, we study the motion of a magnetized particle orbiting a static and spherically symmetric black hole immersed in an external asymptotically uniform magnetic field in Einstein-dilaton-Gauss-Bonnet gravity. Similar to the…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Romel M. Vargas , M. A. Cuyubamba

Understanding how the release of stored magnetic energy contributes to the generation of non-thermal high energy particles during solar flares is an important open problem in solar physics. Magnetic reconnection plays a fundamental role in…

Solar and Stellar Astrophysics · Physics 2020-03-11 Alexei Borissov , Thomas Neukirch , Eduard Kontar , James Threlfall , Clare Parnell

We study the motion of a charged particle in a tokamak magnetic field and discuss its chaotic nature. Contrary to most of recent studies, we do not make any assumption on any constant of the motion and solve numerically the cyclotron…

Chaotic Dynamics · Physics 2014-12-05 Benjamin Cambon , Xavier Leoncini , Michel Vittot , Rémi Dumont , Xavier Garbet

The topological approach has recently been successfully employed to investigate timelike circular orbits for massive neutral test particles. The observed vanishing topological number implies that these timelike circular orbits occur in…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Xu Ye , Shao-Wen Wei