Conservation laws and theorems of confinement and stability for a charged equatorial disk in a pulsar magnetosphere

Details Conservation laws and theorems of confinement and stability for a charged equatorial disk in a pulsar magnetosphere Conservation laws and theorems of confinement and stability for a charged equatorial disk in a pulsar magnetosphere

May 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005a%26a...434..405a&link_type=abstract

Astronomy and Astrophysics, Volume 434, Issue 2, May I 2005, pp.405-414

Astronomy and Astrophysics

Astrophysics

1

Pulsars: General, Magnetic Fields, Plasmas

Scientific paper

For studying the nonaxisymmetric stability of the bounded electrosphere of an “aligned pulsar” (Michel's structure with polar domes and equatorial belt), Pétri et al. (2002) recently introduced a simplified but useful model in which all the charge-separated plasma located outside the magnetized rotating star is concentrated into a thin equatorial disk. In this paper, some aspects of this model are investigated analytically. It is shown that the equations governing the behaviour of the disk - in the case where there are no sources of particles feeding it - imply a series of conservation laws (for energy, angular momentum,...), and that there is a non-canonical Hamiltonian structure hidden behind them. The conservation laws are used to prove that: (i) for any initial conditions imposed on the disk, its evolution cannot lead to charges escaping to infinity (confinement theorem); (ii) a disk steady state with a possibly rotating pattern is nonlinearly stable if the charge density per unit of magnetic flux is a decreasing function of the electrostatic potential in the rotating frame (stability theorem).

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