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Within the framework of Bonnor's exact solution describing a massive magnetic dipole, we study the motion of neutral and electrically charged test particles. In dependence on the Bonnor spacetime parameters, we determine regions enabling…

General Relativity and Quantum Cosmology · Physics 2013-01-10 Jiří Kovář , Ondřej Kopáček , Vladimí Karas , Yasufumi Kojima

We study the dynamics of spinning charged test particles orbiting a Schwarzschild black hole immersed in a test uniform magnetic field. This setup provides a simple but physically relevant framework for modeling particle motion in…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Misbah Shahzadi , Martin Kolos , Ondrej Zelenka , Georgios Lukes-Gerakopoulos

We consider a generalization of the classical nonrelativistic St\"{o}rmer problem, describing the motion of charged particles in a purely magnetic dipole field, by taking into account the effects of the dissipation, assumed to be of…

High Energy Astrophysical Phenomena · Physics 2026-04-28 Tiberiu Harko , Gabriela Raluca Mocanu

We investigate the collective behaviour of particle orbits in the vicinity of magnetic reconnection in Earth's magneto-tail. Various regions of different kinds of orbital stability of particle motions are found. We locate regimes of…

Plasma Physics · Physics 2019-08-01 Christoph Lhotka , Philippe Bourdin , Elke Pilat-Lohinger

Nonintegrable dynamical systems have complex structures in their phase space. Motion of a test charged particle in a dipole magnetic field can be reduced to a 2 degree-of-freedom (2 d.o.f.) nonintegrable Hamiltonian system. We carried out a…

Dynamical Systems · Mathematics 2023-02-15 Hanrui Pang , Siming Liu , Rong Liu

A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

The observational data from some black hole candidates suggest the importance of electromagnetic fields in the vicinity of a black hole. Highly magnetized disk accretion may play an importance rule, and large scale magnetic field may be…

Astrophysics · Physics 2011-02-11 Masaaki Takahashi , Hiroko Koyama

The motion of a particle in a spatially harmonic magnetic field is a basic problem involved, for example, in the mechanism of formation of a collisionless shock. In such settings, it is generally reasoned that particles entering a Weibel…

Plasma Physics · Physics 2015-07-10 Antoine Bret

When a particle crosses a region of space where the curvature radius of the magnetic field line shrinks below its gyroradius $r_{\rm g}$, it experiences a non-adiabatic (magnetic moment violating) change in pitch angle. The present paper…

Plasma Physics · Physics 2023-09-15 Martin Lemoine

We analyze the dynamics of a charged particle moving in the presence of spatially-modulated magnetic fields. From Poincare surfaces of section and Liapunov exponents for characteristic trajectories we find that the fraction of pinned and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Esmael Badran , Sergio E. Ulloa

We study the valence electron of an alkaline atom or a general charged particle with arbitrary spin and with magnetic moment moving in a rotating magnetic field. By using a time-dependent unitary transformation, the Schr\"odinger equation…

Quantum Physics · Physics 2009-11-07 Qiong-gui Lin

A symmetry analysis is presented for the three-dimensional nonrelativistic motion of charged particles in arbitrary stationary electromagnetic fields. The general form of the Lie point symmetries is found along with the fields that respect…

Mathematical Physics · Physics 2015-06-15 Nikos Kallinikos , Efthymia Meletlidou

Trajectories of charged particle in combined poloidal, toroidal magnetic field and rotation-induced unipolar electric field superposed in Schwarzschild background geometry have been investigated extensively in the context of accreting black…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Sujan Sengupta

This paper presents a systematic study of the chaotic dynamics of charged test particles around purely magnetically charged black holes immersed in a uniform external magnetic field within the framework of Einstein-ModMax theory. By…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Zijian Liu , Wenfu Cao

The study of charged particle dynamics in the combined gravitational and magnetic field can provide important theoretical insight into astrophysical processes around black holes. In this paper, we explore the charged particle dynamics in…

General Relativity and Quantum Cosmology · Physics 2024-03-19 Martin Kološ , Misbah Shahzadi , Arman Tursunov

We further study the stochastic model discussed in Ref.[2] in which positive and negative particles diffuse in an asymmetric, CP invariant way on a ring. The positive particles hop clockwise, the negative counter-clockwise and…

Statistical Mechanics · Physics 2007-05-23 Peter F. Arndt , Vladimir Rittenberg

We study the issue of description of spinning particle dynamics by means of recently proposed world sheet concept. A model of irreducible spinning particle in the $3d$ Minkowski space with two gauge symmetries is considered. The classical…

High Energy Physics - Theory · Physics 2021-05-06 D. S. Kaparulin , I. A. Retuncev

We study motion of charged particles in the field of a rotating black hole immersed into an external asymptotically uniform magnetic field, focusing on the epicyclic quasi-circular orbits near the equatorial plane. Separating the circular…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Arman Tursunov , Zdeněk Stuchlík , Martin Kološ

The quasilinear particle flux arising from gyrokinetic instabilities is calculated in the electrostatic and collisionless approximation, keeping the geometry of the magnetic field arbitrary. In particular, the flux of electrons and heavy…

Plasma Physics · Physics 2018-08-01 Per Helander , Alessandro Zocco

The study of circular orbits offers profound insights into the structure of spacetime around black holes. While the topological properties of these orbits are well-established for neutral particles, the influence of electric…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Yong Song , Jia Li , Yiting Cen , Kai Diao , Xiaofeng Zhao , Shunping Shi
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