Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ap%26ss.143..269r&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 143, no. 2, April 1988, p. 269-300.
Astronomy and Astrophysics
Astrophysics
4
Atmospheric Models, Pulsar Magnetospheres, Self Consistent Fields, Stellar Models, Stellar Structure, Charged Particles, Magnetohydrodynamics, Stellar Rotation
Scientific paper
A model of a pulsar magnetosphere filled with massless charged particles (rest mass m = 0) is considered. Such representation is valid in the case, when e Phi is much greater than mc-squared, where Phi is a characteristic potential difference in the pulsar magnetosphere. This inequality takes place almost everywhere in the pulsar magnetosphere. The gas of charged massless particles can be found in two different phases: (1) a dynamical phase (DP), when the particles move with nonvanishing energy epsilon along some base lines, determined by the electromagnetic field only; and (2) a static phase (SP), when the particles have vanishing energy epsilon = 0. Even in the simplest axially-symmetric case the pulsar magnetosphere occurs to be divided into regions of different types: (1) the accelerating regions (DP-regions), containing only DP; (2) the capture regions, containing only SP; and (3) leaky capture regions, where DP moves through SP. The leaky capture regions are the active regions, which are responsible for the pulsar radio-emission. In the paper, the mathematical technique of the massless approximation has been developed. The properties of the capture region have been investigated. The problem of an axially-symmetric pulsar magnetosphere has been stated mathematically. The massless approximation permits differential equations to be substituted by the algebraic ones, and the statement of the problem to be simplified.
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