Pulsar radiation in post-Maxwellian vacuum nonlinear electrodynamics

Денисов, В И; Shvilkin, B. N.; Соколов, В. А.; Vasili’ev, M. I.

doi:10.1103/physrevd.94.045021

Cited by 19 publications

(13 citation statements)

References 40 publications

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“…This result is somehow a factor of 9 bigger than in [22]. An explanation might be found in the way Denisov et al [22] derive the QED one-loop corrections, which might differ from ours.…”

Section: B Energy Flow For a Rotating Magnetic Dipole In Vacuumcontrasting

confidence: 69%

“…This result is somehow a factor of 9 bigger than in [22]. An explanation might be found in the way Denisov et al [22] derive the QED one-loop corrections, which might differ from ours. If we take r to be the radius of the star (R), we find that some additional electromagnetic energy is radiated through the surface to excite the polarization of the vacuum.…”

Section: B Energy Flow For a Rotating Magnetic Dipole In Vacuumcontrasting

confidence: 69%

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QED effects are negligible for neutron-star spin-down

Ripoche

2019

Phys. Rev. D

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The energy loss of a rotationally powered pulsar is primarily carried away as electromagnetic radiation and a particle wind. Considering that the magnetic field strength of pulsars ranges from about 10 8 to 10 15 G, one could expect quantum electrodynamics (QED) to play a role in their spin-down, especially for strongly magnetized ones (magnetars). In fact several authors have argued that QED corrections will dominate the spin-down for slowly rotating stars. They called this effect quantum vacuum friction (QVF). However, QVF was originally derived using a problematic selftorque technique, which leads to a dramatic overestimation of this spin-down effect. Here, instead of using QVF, we explicitly calculate the energy loss from rotating neutron stars using the Poynting vector and a model for a particle wind, and we include the QED one-loop corrections. We express the excess emission as QED one-loop corrections to the radiative magnetic moment of a neutron star. We do find a small component of the spin-down luminosity that originates from the vacuum polarization. However, it never exceeds one percent of the classical magnetic dipole radiation in neutron stars for all physically interesting field strengths. Therefore, we find that the radiative corrections of QED are irrelevant in the energetics of neutron-star spin-down.

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“…This result is somehow a factor of 9 bigger than in [22]. An explanation might be found in the way Denisov et al [22] derive the QED one-loop corrections, which might differ from ours.…”

Section: B Energy Flow For a Rotating Magnetic Dipole In Vacuumcontrasting

confidence: 69%

Section: B Energy Flow For a Rotating Magnetic Dipole In Vacuumcontrasting

confidence: 69%

QED effects are negligible for neutron-star spin-down

Ripoche

2019

Phys. Rev. D

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“…Let us set α = 1 without substantial loss of generality and choose the monomial f (x) = x k initial condition for (13). Then g(x) = x k e δ x is the initial condition for the Equation ∂ t G = (∂ 2 x + βx)G. Its solution is given by (12) upon the substitution of F → G and we end up with the following solution of the extended heat Equation (13)…”

Section: Fourier Heat Equation and Its Operational Solutionmentioning

confidence: 99%

“…A good description of the major numerical methods is given, for example, in [1][2][3][4][5][6]. Here they allow numerical modelling of complicated physical processes [7][8][9][10][11][12][13][14][15][16][17][18][19], including multidimensional heat transfer in rectangles and cylinders [20][21][22][23]. However, proper understanding of the solutions and of the obtained results can be best done when they are obtained in analytical form.…”

Section: Introductionmentioning

confidence: 99%

Operational Approach and Solutions of Hyperbolic Heat Conduction Equations

Zhukovsky

2016

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Abstract:We studied physical problems related to heat transport and the corresponding differential equations, which describe a wider range of physical processes. The operational method was employed to construct particular solutions for them. Inverse differential operators and operational exponent as well as operational definitions and operational rules for generalized orthogonal polynomials were used together with integral transforms and special functions. Examples of an electric charge in a constant electric field passing under a potential barrier and of heat diffusion were compared and explored in two dimensions. Non-Fourier heat propagation models were studied and compared with each other and with Fourier heat transfer. Exact analytical solutions for the hyperbolic heat equation and for its extensions were explored. The exact analytical solution for the Guyer-Krumhansl type heat equation was derived. Using the latter, the heat surge propagation and relaxation was studied for the Guyer-Krumhansl heat transport model, for the Cattaneo and for the Fourier models. The comparison between them was drawn. Space-time propagation of a power-exponential function and of a periodic signal, obeying the Fourier law, the hyperbolic heat equation and its extended Guyer-Krumhansl form were studied by the operational technique. The role of various terms in the equations was explored and their influence on the solutions demonstrated. The accordance of the solutions with maximum principle is discussed. The application of our theoretical study for heat propagation in thin films is considered. The examples of the relaxation of the initial laser flash, the wide heat spot, and the harmonic function are considered and solved analytically.

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“…The method of operational solution of DE demonstrated in [7][8][9][10] is applicable to a wide spectrum of physical problems, described by linear partial differential equations (PDE), such as propagation and radiation from charged particles [11][12][13][14][15][16][17][18][19], heat diffusion [20][21][22], including processes not described by Fourier law, and others [23][24][25]. In the context of the operational approach, the operational definitions for the polynomials through the operational exponent are very useful [26].The operational exponent is also applied when describing the fundamentals of structures in nature, including elementary particles and quarks [27][28][29]; such modern mathematical instruments are also used for the theoretical study of…”

Section: Introductionmentioning

confidence: 99%