Radiation reaction and limiting acceleration

Price, W. G.; Formánek, Martin; Rafelski, Johann

doi:10.1103/physrevd.105.016024

Cited by 9 publications

(10 citation statements)

References 30 publications

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“…Since the dipole magnetic field is axisymmetric, the azimuthal canonical momentum p φ and the energy H of a charged particle moving in it are conserved if one ignores the radiation reaction force, which is a quantum phenomenon and cannot be treated self-consistently in classical mechanism [18,19]. Following the standard procedure [6,7], one can introduce a characteristic length with p φ , the charge of the particle e, and magnetic moment of the dipole M, and obtain the dimensionless Hamiltonian for motion in the Meridian plane [ρ, z]:…”

Section: Motion Of Charged Particles In the Meridian Plane Of A Dipol...mentioning

confidence: 99%

Orbits of charged particles with an azimuthalinitial velocity in a dipole magnetic field

Pang

Liu

2023

Preprint

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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 2degree-of-freedom (2 d.o.f.) nonintegrable Hamiltonian system. We carried out asystematicstudyoforbitsofchargedparticleswithanazimuthalinitialvelocityina dipole field via calculation of their Lyapunov characteristic exponents (LCEs)and escape times for a dimensionless energy less and greater than 1/32, respec-tively. Meridian plane periodic orbits symmetric with respect to the equatorialplane are then identified. We found that 1) symmetric periodic orbits can be clas-sified into several classes based on their number of crossing points on the equato-rialplane;2)theinitialconditionsoftheseclasseslocateonclosedloopsorclosedcurves going through the origin; 3) most isolated regions of stable quasi-periodicorbits are associated asymmetric stable periodic orbits; 4) classes of asymmet-ric periodic orbits either go through the origin or terminate at flat equatorialplane orbits with the other end approaching centers of spiral structures; 5) thereare apparent self-similarities in the above features with the decrease of energy.

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Section: Motion Of Charged Particles In the Meridian Plane Of A Dipol...mentioning

confidence: 99%

Orbits of charged particles with an azimuthalinitial velocity in a dipole magnetic field

Pang

Liu

2023

Preprint

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“…Understanding the interactions between charged particles and strong electromagnetic fields is a problem of fundamental importance. Particles in strong fields will experience a strong acceleration and emit radiation; the backreaction of this radiation on the particle can then play a significant role in the dynamics 21 . We have already entered an era when it is possible to experimentally investigate the behaviour of matter bombarded by ultra-intense lasers in regimes where the magnitudes of the radiation reaction force and Lorentz force are comparable.…”

Section: Additional Commentsmentioning

confidence: 99%

Elimination of Pathological Solutions of the Abraham-Lorentz Equation of Motion

Shaw¹

2022

Preprint

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For more than a century the Abraham-Lorentz equation has generally been regarded as the correct description of the dynamics of a charged particle. However, there are pathological solutions of the Abraham-Lorentz equation in which a particle accelerates in advance of the application of a force, the so-called preacceleration solutions, and solutions in which the particle spontaneously accelerates even in the absence of an external force, also known as the runaway solutions. Runaways violate conservation of energy, and preacceleration violates causality. In this study, I shall focus on one of the most used alternative equations of motion: the Landau-Lifshitz equation, which has no pathological solutions. However, it is a first-order approximation to the Abraham-Lorentz equation, raising the question of how an approximation can be considered more accurate than the original.Finally, I shall present some numerical results for a variety of external forces and compare both the equations.

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“…In the electromagnetic field, a charged particle with charge q and mass m, obeys the Landau-Lifshit (LL) equation (Landau & Lifshitz (1980); Price et al (2022)),…”

Section: Particle Accelerated By a Hertzian Magnetic Dipolementioning

confidence: 99%

Pulsars as candidates of LHAASO sources J2226+6057, J1908+0621 and J1825-1326

Chang,

Zhang,

Zhou

2022

Preprint

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The LHAASO Collaboration has observed ultrahigh-energy photons up to 1.4PeV from 12 γ-ray Galactic sources. In particular, the γ-ray spectra of the sources J2226+6057, J1908+0621, J1825-1326 have been published. We investigate the possibility of suggested origin pulsars near the sources as the PeVatrons. The pulsar is described by a rotating magnetic dipole. Assuming protons are uniform distributed out of the light cylinders, we obtain the Lorentz distribution of proton energy spectrum. It is found that the protons around pulsar could be accelerated to PeV at short times. The hadronic γ-ray spectra of the suggested origin pulsars are in good agreement with the LHAASO observed γ-ray spectra of the sources J2226+6057,

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Radiation reaction and limiting acceleration

Cited by 9 publications

References 30 publications

Orbits of charged particles with an azimuthalinitial velocity in a dipole magnetic field

Orbits of charged particles with an azimuthalinitial velocity in a dipole magnetic field

Elimination of Pathological Solutions of the Abraham-Lorentz Equation of Motion

Pulsars as candidates of LHAASO sources J2226+6057, J1908+0621 and J1825-1326

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