Spatial Distribution of Pair Production over the Pulsar Polar Cap
arXiv:1604.05670 · doi:10.3847/0004-637X/830/2/119
Abstract
Using an analytic, axisymmetric approach that includes general relativity, coupled to a condition for pair production deduced from simulations, we derive general results about the spatial distribution of pair-producing field lines over the pulsar polar cap. In particular, we show that pair production on magnetic field lines operates over only a fraction of the polar cap for an aligned rotator for general magnetic field configurations, assuming the magnetic field varies spatially on a scale that is larger than the size of the polar cap. We compare our result to force-free simulations of a pulsar with a dipole surface field and find excellent agreement. Our work has implications for first-principles simulations of pulsar magnetospheres, and for explaining observations of pulsed radio and high-energy emission.
11 pages, 2 figures. Accepted to ApJ
References in corpus (11)
- Gamma-ray flares from the Crab Nebula
- Discovery of Powerful Gamma-Ray Flares from the Crab Nebula
- Observation of Pulsed Gamma-rays Above 25 GeV from the Crab Pulsar with MAGIC
- Particle acceleration in axisymmetric pulsar current sheets
- Electrodynamics of axisymmetric pulsar magnetosphere with electron-positron discharge: a numerical experiment
- Pulsar Wind Nebulae as Cosmic Pevatrons: A Current Sheet's Tale
- Relativistic Force-Free Electrodynamic Simulations of Neutron Star Magnetospheres
- Polar-cap accelerator and radio emission from pulsars
- Dissipation, Energy Transfer, and Spindown Luminosity in 2.5D PIC Simulations of the Pulsar Magnetosphere
- Electromagnetic power of merging and collapsing compact objects
- Pulsar Magnetospheres: Beyond the Flat Spacetime Dipole
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- Inclined Pulsar Magnetospheres in General Relativity: Polar Caps for the Dipole, Quadrudipole and Beyond
- X-ray Lightcurves from Realistic Polar Cap Models: Inclined Pulsar Magnetospheres and Multipole Fields
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- Diffusivity in force-free simulations of global magnetospheres
- Particle-in-cell simulations of pulsar magnetospheres: transition between electrosphere and force-free regimes
- OSIRIS-GR: General relativistic activation of the polar cap of a compact neutron star
- An Improved Algorithm for Crossing Curved Light Surfaces: rapidly rotating pulsar magnetospheres in curved spacetime