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- W2339479560 abstract "The dispersion relation for longitudinal waves in a one-dimensional ultrarelativistic plasma is calculated. Analytical and numerical results for the growth rate and frequency of the two-stream instability are presented as a function of the energy spread in the denser stream when the dilute stream is cold. The case of energy spreads in both beams is investigated numerically: it is found that relatively small energy spreads in both streams can lead to suppression of the instability. The ultrarelativistic two-stream instability has been proposed as a mechanism for bunching radio-emitting electrons in the magnetosphere of a pulsar (e.g., Ruderman and Sutherland, 1975). The idea is that the magnetospheric plasma above the polar cap consists of several components streaming away from the pole: it may include 'primary' positrons created in the 'spark gap' (with Lorentz factors 7 ~ 107; Ruderman and Sutherland, 1975), 'secondary' electron-positron plasma from pair creation (7 ~ 102) and iron nuclei ripped from the crust of the neutron star (), ~ 500; Cheng and Ruderman, 1980). These components are streaming relative to each other, and the relative streaming provides a source of free energy which may drive an instability. The instability is assumed to result in the growth of electrostatic waves, and particles may be bunched in the spatially-oscillating wave fields. The bunched particles radiate by coherent curvature emission, and can explain the observed radio-emission from pulsars. In the strong magnetic field of a pulsar the plasma is forced to follow the magnetic field lines, and it may be treated as one-dimensional. This paper is concerned with the dispersion relation and growth rate of electrostatic waves in a one-dimensional ultrarelativistic two-stream plasma. Due to the nature of the origins of the streams they are unlikely to be monoenergetic: indeed, with the exception of nuclei torn from the polar cap which are all accelerated through the spark-gap potential drop (Cheng and Ruderman, 1980), one expects that the spread of energies (ATrnc a) of particles in a stream will be comparable to the mean streaming energy (7mc2). This spread of energies was included in the analyses of the ultrarelativistic two-stream instability by Hinata (1976) and Cheng and Ruderman (1977). It is necessary, however, to analyze this instability further because the above authors used a form for the dispersion relation which does not correctly include the effects of the energy spread. Here we calculate the appropriate form of the dispersion relation, and investigate the growth rate of the instability." @default.
- W2339479560 created "2016-06-24" @default.
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- W2339479560 date "1985-01-01" @default.
- W2339479560 modified "2023-09-25" @default.
- W2339479560 title "THERMAL EFFECTS IN THE ULTRARELATIVISTI C TWO-STREAM INSTABILITY" @default.
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