Hybrid Numerical Simulations of Pulsar Magnetospheres

Abstract

We continue our investigation of particle acceleration in the pulsar equatorial current sheet (ECS) that began with Contopoulos (2019) and Contopoulos & Stefanou (2019). Our basic premise has been that the charge carriers in the current sheet originate in the polar caps as electron-positron pairs, and are carried along field lines that enter the equatorial current sheet beyond the magnetospheric Y-point. In this work we investigate further the charge replenishment of the ECS. We discovered that the flow of pairs from the rims of the polar caps cannot supply both the electric charge and the electric current of the ECS. The ECS must contain an extra amount of positronic (or electronic depending on orientation) electric current that originates in the stellar surface and flows outwards along the separatrices. We develop an iterative hybrid approach that self-consistently combines ideal force-free electrodynamics in the bulk of the magnetosphere with particle acceleration along the ECS. We derive analytic approximations for the orbits of the particles, and obtain the structure of the pulsar magnetosphere for various values of the pair-formation multiplicity parameter kappa. For realistic values kappa >> 1, the magnetosphere is practically indistinguishable from the ideal force-free one, and therefore, the calculation of the spectrum of high-energy radiation must be based on analytic approximations for the distribution of the accelerating electric field in the ECS.

arXiv comment7 pages, 5 figures, Monthly Notices in press

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Cited by in corpus (7)

• Scaling up global kinetic models of pulsar magnetospheres using a hybrid force-free-PIC numerical approach
• Three-dimensional dissipative pulsar magnetospheres with Aristotelian electrodynamics
• Diffusivity in force-free simulations of global magnetospheres
• Trajectories and Radiation of Charged Particles in the Pulsar Magnetosphere
• The 3D pulsar magnetosphere with machine learning: first results
• Multi-wavelength emission in resistive pulsar magnetospheres
• Revealing the Unseen: The Discovery of Long-Awaited Radiation from the Intermittent Pulsar PSR B1931+24