QED and X-Ray Pulsars

Allen, Michelle C.; Melrose, D. B.; Parle, A. J.

doi:10.1017/s1323358000018129

Cited by 3 publications

(3 citation statements)

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“…[ 4–6 ] As seen from the studies of plasma phenomena properties, waves with small perpendicular wave numbers in weakly relativistic, thermal, and magnetized plasmas are very sensitive to the accurate evaluation of Dnestrovskii functions. [ 1–22 ] It is important to mention that basic recurrence expressions provide the accurate calculation results of the Dnestrovskii functions for the integer values of the q parameter. [ 2 ] Dnestrovskii [ 1 ] proposed an analytical method based on an expansion of Bessel functions.…”

Section: Introductionmentioning

confidence: 99%

“…The plasma dispersion functions which are reduced to Dnestrovskii functions play a significant role in plasma physics [1][2][3][4] and astrophysics. [5,6] The Dnestrovskii functions provide powerful knowledge to study several scientific fields such as the dielectric properties of magnetized plasmas, [7][8][9] cyclotron emission, relativistic effects on the laboratory plasmas, [10][11][12] magnetic mirrors, absorption, dispersion, planetary, solar flares, and stellar magnetospheres. [13][14][15] It has also been widely used in the study entitled effects of temperature anisotropy in a weakly relativistic loss cone distribution.…”

Section: Introductionmentioning

confidence: 99%

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Analytical evaluation of the Dnestrovskii functions occurring in weakly relativistic, magnetized, and thermal plasmas

Мамедов

2023

Contributions to Plasma Physics

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In this paper, we established an effective formula for Dnestrovskii functions based on the binomial expansion theorem which frequently appears in a weakly relativistic loss cone distribution, relativistic, magnetized, and thermal plasmas. The obtained formulas are expressed in terms of binomial coefficients and incomplete Gamma functions. Therefore, the proposed approach is a fully useful method to evaluate Dnestrovskii functions and related physical properties of plasmas. Calculation results of the Dnestrovskii functions are compared with other numerical and theoretical models and indicated acceptable agreement. The results of the calculations demonstrate that the derived formula is valid for a wide range of parameters.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical evaluation of the Dnestrovskii functions occurring in weakly relativistic, magnetized, and thermal plasmas

Мамедов

2023

Contributions to Plasma Physics

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“…The specific processes of electron--electron and electron-proton scattering are of particular"interest in models for X-ray pulsars (Langer 1981; Langer and Rappaport 1982;Allen et al 1985). In these models the X rays are generated in an accretion column, where the energy supplied in the form of kinetic energy of the infalling matter is thermalised by inter-partich: collisions.…”

Section: Introductionmentioning

confidence: 99%

Collisions in Strong Magnetic Fields

Storey

Melrose

1987

Aust. J. Phys.

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Exact cross sections for electron-electron collisions and electron-proton collisions in a superstrong magnetic field are derived using the QED formalism developed by Melrose and Parle. The results are compared with those of Langer who used a different QED formalism. The intended application is to collision processes in the accretion columns above neutron stars where magnetic fields of order 10 9 T are thought to be present. The particular case of electrons initially in their ground states, with one final electron in an excited state is described in detail; this process is thought to be the primary source of photons in X-ray pulsars, through subsequent cyclotron emission.

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Relativistic plasma dispersion functions

Robinson

1986

Journal of Mathematical Physics

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The kn~wn properties of plasma dispersion functions (PDF's) for waves in weakly relativistic, magnetized, thermal plasmas are reviewed and a large number of new results are presented. The PDF's required for the description of waves with small wave number perpendicular to the magnetic field (Dnestrovskii and Shkarofsky functions) are considered in detail' these functions also arise in certain quantum electrodynamical calculations involving strongly ~agnetized plasmas. Series, asymptotic series, recursion relations, integral forms, derivatives, differential equations, a~d app.roximations for these functions are discussed as are their analytic properties and connectIOns With standard transcendental functions. In addition a more general class of PDF's relevant to waves of arbitrary perpendicular wave number is introduced and a range of properties of these functions are derived.

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QED and X-Ray Pulsars

Cited by 3 publications

References 10 publications

Analytical evaluation of the Dnestrovskii functions occurring in weakly relativistic, magnetized, and thermal plasmas

Analytical evaluation of the Dnestrovskii functions occurring in weakly relativistic, magnetized, and thermal plasmas

Collisions in Strong Magnetic Fields

Relativistic plasma dispersion functions

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