Motion of a charged particle around a black hole permeated by magnetic field and its chaotic characters

Nakamura, Yosiaki; Ishizuka, Toshihisa

doi:10.1007/bf00657877

Cited by 27 publications

(22 citation statements)

References 2 publications

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“…In the context of motion around black holes perturbed by (weak) external sources, various aspects of chaos were studied e.g. by Karas & Vokrouhlický (1992); Nakamura & Ishizuka (1993); Podolský & Veselý (1998), and very recently by Semerák & Suková (2010).…”

Section: Potentialmentioning

confidence: 99%

Transition From Regular to Chaotic Circulation in Magnetized Coronae Near Compact Objects

Kopáček

Karas

Kovář

et al. 2010

ApJ

109

142

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Accretion onto black holes and compact stars brings material in a zone of strong gravitational and electromagnetic fields. We study dynamical properties of motion of electrically charged particles forming a highly diluted medium (a corona) in the regime of strong gravity and large-scale (ordered) magnetic field.We start our work from a system that allows regular motion, then we focus on the onset of chaos. To this end, we investigate the case of a rotating black hole immersed in a weak, asymptotically uniform magnetic field. We also consider a magnetic star, approximated by the Schwarzschild metric and a test magnetic field of a rotating dipole. These are two model examples of systems permitting energetically bound, off-equatorial motion of matter confined to the halo lobes that encircle the central body. Our approach allows us to address the question of whether the spin parameter of the black hole plays any major role in determining the degree of the chaoticness.To characterize the motion, we construct the Recurrence Plots (RP) and we compare them with Poincaré surfaces of section. We describe the Recurrence Plots in terms of the Recurrence Quantification Analysis (RQA), which allows us to identify the transition between different dynamical regimes. We demonstrate that this new technique is able to detect the chaos onset very efficiently, and to provide its quantitative measure. The chaos typically occurs when the conserved energy is raised to a sufficiently high level that allows the particles to traverse the equatorial plane. We find that the role of the black-hole spin in setting the chaos is more complicated than initially thought.

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Section: Potentialmentioning

confidence: 99%

Transition From Regular to Chaotic Circulation in Magnetized Coronae Near Compact Objects

Kopáček

Karas

Kovář

et al. 2010

ApJ

109

142

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“…Recently, Wang et al [16] investigated the chaotic motion of a test scalar particle coupling to the Einstein tensor in Schwarzschild-Ernst black hole spacetime. When an external magnetic field whose four-vector potential have two nonzero components A t and A φ is included near the Kerr black hole, the motion of charged particles in this axially symmetric spacetime geometry is nonintegrable and probably chaotic [17][18][19]. If the fourvector potential of a magnetic field has four nonzero components and breaks axial symmetry, the transition from regular to chaotic dynamics occurs more easily [20].…”

Section: Introductionmentioning

confidence: 99%

Chaotic motion of neutral and charged particles in a magnetized Ernst-Schwarzschild spacetime

2019

Eur. Phys. J. Plus

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Neutral test particles around a Schwarzschild black hole immersed in an external uniform magnetic field have no interactions of electromagnetic forces, but their motions can be chaotic. This chaotic behavior is induced owing to the gravitational effect of the magnetic field leading to the nonintegrability of the magnetized Ernst-Schwarzschild spacetime geometry. In fact, chaos is strengthened typically with an increase of the energy or the magnetic field under appropriate circumstances. When these test particles have charges, the electromagnetic forces are included. As a result, the electromagnetic forces have an effect on strengthening or weakening the extent of chaos caused by the gravitational effect of the magnetic field.PACS numbers:

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“…[19,20] for a uniform axisymmetric field and in Refs. [21,22] for a dipole field. Similar studies in the background of a Schwarzschild black hole were conducted.…”

Section: Introductionmentioning

confidence: 99%

Escape of charged particles moving around a weakly magnetized Kerr black hole

Zahrani

2014

Phys. Rev. D

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We study the dynamics and escape of charged particles initially orbiting a weakly magnetized Kerr black hole after they get kicked in the direction normal to the orbit. The case of neutral particles is analyzed first and the escape conditions are given analytically. A general analysis of charged particles innermost stable circular orbits is performed numerically. We then study the charged particles three-dimensional motion and give an effective condition for their escape. We also discuss how the black hole's rotation affects the escape of charged particles and the chaoticness in their dynamics.

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Motion of a charged particle around a black hole permeated by magnetic field and its chaotic characters

Cited by 27 publications

References 2 publications

Transition From Regular to Chaotic Circulation in Magnetized Coronae Near Compact Objects

Transition From Regular to Chaotic Circulation in Magnetized Coronae Near Compact Objects

Chaotic motion of neutral and charged particles in a magnetized Ernst-Schwarzschild spacetime

Escape of charged particles moving around a weakly magnetized Kerr black hole

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