2006
DOI: 10.1086/507518
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Time-dependent Force-free Pulsar Magnetospheres: Axisymmetric and Oblique Rotators

Abstract: Magnetospheres of many astrophysical objects can be accurately described by the low-inertia (or "force-free") limit of MHD. We present a new numerical method for the solution of equations of force-free relativistic MHD based on the finite-difference time-domain approach, with a prescription for handling the spontaneous formation of current sheets. We use this method to study the time-dependent evolution of pulsar magnetospheres in both aligned and oblique magnetic geometries. For the aligned rotator, we confir… Show more

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Cited by 825 publications
(963 citation statements)
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“…Changes in the magnetospheric currents concur with changes in the braking torque on the star, as evidenced in correlated variations in the radio pulses and inṖ [161]. The spin-down rate is indeed larger by a factor 3 2 (1 + sin 2 αB)/ sin 2 αB for a force-free magnetosphere than for a vacuum dipole [14,59], so changes in the charge supply can impact the rotation, even if a dense plasma remains trapped in the closed-field region [134]. Mode switching, on the other hand, suggests current reorganizations from some open field lines to others, or the shutting off of specific components in composite, multi-beam light curves.…”
mentioning
confidence: 65%
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“…Changes in the magnetospheric currents concur with changes in the braking torque on the star, as evidenced in correlated variations in the radio pulses and inṖ [161]. The spin-down rate is indeed larger by a factor 3 2 (1 + sin 2 αB)/ sin 2 αB for a force-free magnetosphere than for a vacuum dipole [14,59], so changes in the charge supply can impact the rotation, even if a dense plasma remains trapped in the closed-field region [134]. Mode switching, on the other hand, suggests current reorganizations from some open field lines to others, or the shutting off of specific components in composite, multi-beam light curves.…”
mentioning
confidence: 65%
“…[132]. The time-dependent solution for the oblique magnetosphere (Figure 2) appeared in 2006 [14]. These simulations solve the time-dependent Maxwell's Equations, in the limit of inertiafree plasma and under the imposed condition that E · B = 0, with a current along each field line that is adjusted to sustain the force-free electric field.…”
Section: Mhd Magnetosphere Modelsmentioning
confidence: 99%
“…According to Beskin, Gurevich, & Istomin (1993);Spitkovsky (2006) ;Tchekhovskoy, Philippov, & Spitkovsky (2016), the spin-down power associated with magnetic field, E mag rot , can be estimated as…”
Section: Narrow Low-temperature Stability Peaks [Model (A)]mentioning
confidence: 99%
“…As recalled by Perera et al (2014), in general, pulsar magnetosphere models are constructed at the following two limits: (a) a vacuum limit (Deutsch 1955); and (b) a force-free magnetohydrodynamics (MHD) limit with a plasma-filled magnetosphere (Spitkovsky 2006). However, a true magnetosphere operates between these two limits.…”
Section: Introductionmentioning
confidence: 99%