MHD Equation of State with Relativistic Electrons

Zhigang Gong; Werner Dappen; Ladislav Zejda

doi:10.1086/318307

MHD Equation of State with Relativistic Electrons

The Astrophysical Journal ◽

10.1086/318307 ◽

2001 ◽

Vol 546 (2) ◽

pp. 1178-1182 ◽

Cited By ~ 25

Author(s):

Zhigang Gong ◽

Werner Dappen ◽

Ladislav Zejda

Keyword(s):

Equation Of State ◽

Relativistic Electrons

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Experimental and theoretical study of the equation of state of carbon using an intense beam of relativistic electrons

Journal of Applied Physics ◽

10.1063/1.328290 ◽

1980 ◽

Vol 51 (8) ◽

pp. 4169-4177 ◽

Cited By ~ 3

Author(s):

C. Peugnet ◽

M. Roche ◽

P. de Villers ◽

C. Savy ◽

G. Sibille

Keyword(s):

Equation Of State ◽

Theoretical Study ◽

Relativistic Electrons ◽

Intense Beam

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Upgrading the MHD Equation of State to Include Relativistic Electrons

International Astronomical Union Colloquium ◽

10.1017/s0252921100058152 ◽

2000 ◽

Vol 176 ◽

pp. 388-389

Author(s):

Zhigang Gong ◽

Werner Däppen

Keyword(s):

Numerical Calculation ◽

Equation Of State ◽

Relativistic Effect ◽

Relativistic Electrons

AbstractSo far, the effect of relativistic electrons has not been included in the Mihalas-Däppen-Hummer (Hummer & Mihalas 1988; Mihalas, Däppen, & Hummer 1988; Däppen et al. 1988; hereinafter MHD) equation of state, although degeneracy was taken into account. Following the findings about the detectability of the relativistic effect in helioseismological data of the solar center (Elliot & Kosovichev 1998; hereinafter EK98), we have upgraded the MHD equation of state to include relativistic degenerate electrons. Our numerical calculation confirms the result of EK98.

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Instrumentation for detecting channelling radiation in the high-voltage electron microscope

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100075385 ◽

1983 ◽

Vol 41 ◽

pp. 318-319

Author(s):

J. H. Butler ◽

C. J. Humphreys

Keyword(s):

Monochromatic Light ◽

Incident Beam ◽

Laboratory Frame ◽

Relativistic Electrons ◽

Voltage Electron ◽

Dipole Emission ◽

Sinusoidal Oscillations ◽

Pass Through ◽

Incident Beam Energy ◽

Increasing Function

Electromagnetic radiation is emitted when fast (relativistic) electrons pass through crystal targets which are oriented in a preferential (channelling) direction with respect to the incident beam. In the classical sense, the electrons perform sinusoidal oscillations as they propagate through the crystal (as illustrated in Fig. 1 for the case of planar channelling). When viewed in the electron rest frame, this motion, a result of successive Bragg reflections, gives rise to familiar dipole emission. In the laboratory frame, the radiation is seen to be of a higher energy (because of the Doppler shift) and is also compressed into a narrower cone of emission (due to the relativistic “searchlight” effect). The energy and yield of this monochromatic light is a continuously increasing function of the incident beam energy and, for beam energies of 1 MeV and higher, it occurs in the x-ray and γ-ray regions of the spectrum. Consequently, much interest has been expressed in regard to the use of this phenomenon as the basis for fabricating a coherent, tunable radiation source.

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