Energy Loss of Radio Pulsars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

We consider the model of axisymmetric neutron star magnetosphere including the matching condition along the separatrix. We demonstrate that it is the stability condition on the separatrix that allows us to obtain a unique solution of the problem. Moreover, the hypothesis of the existence of the nonlinear Ohm's Law (Beskin, Gurevich & Istomin 1983) connecting the potential drop in the pair creation region and the longitudinal electric current flowing in the magnetosphere is confirmed. Then two-fluid effects on the radial 2D outflow of relativistic electron-positron plasma are considered. When the longitudinal electric current corresponding to "Ohm's Law" is smaller than the Goldreich-Julian one, it is shown that (as in 1D case considered earlier) almost all electromagnetic energy is transformed into the energy of particles in the narrow boundary layer Delta pi/pi ~lambda^{-1} (lambda = n/nGJ) near the light surface |E| = |B|.

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