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Hall drift in the crust of neutron stars - necessary for radio pulsar activity?
Solar and Stellar Astrophysics · Submitted 8 Jun 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim These magnetic spots can be long-lived, thereby fulfilling the pre-conditions for the appearance of the radio pulsar activity.
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The abstract, sentence by sentence
The radio pulsar models based on the existence of an inner accelerating gap located above the polar cap rely on the existence of a small scale, strong surface magnetic field $B_s$. This field exceeds the dipolar field $B_d$, responsible for the braking of the pulsar rotation, by at least one order of magnitude. Neither magnetospheric currents nor small scale field components generated during neutron star's birth can provide such field structures in old pulsars. While the former are too weak to create $B_s \gtrsim 5\times 10^{13}$G$\;\gg B_d$, the ohmic decay time of the latter is much shorter than $10^6$ years. We suggest that a large amount of magnetic energy is stored in a toroidal field component that is confined in deeper layers of the crust, where the ohmic decay time exceeds $10^7$ years. This toroidal field may be created by various processes acting early in a neutron star's life. The Hall drift is a non-linear mechanism that, due to the coupling between different components and scales, may be able to create the demanded strong, small scale, magnetic spots. Taking into account both realistic crustal microphysics and a minimal cooling scenario, we show that, in axial symmetry, these field structures are created on a Hall time scale of $10^3$-$10^4$ years. These magnetic spots can be long-lived, thereby fulfilling the pre-conditions for the appearance of the radio pulsar activity. Such magnetic structures created by the Hall drift are not static, and dynamical variations on the Hall time scale are expected in the polar cap region.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The radio pulsar models based on the existence of an inner accelerating gap located above the polar cap rely on the existence of a small scale, strong surface magnetic field $B_s$. | background 1.00 | 0.05 | 0.04 | asserted 1.00 |
| s1 | This field exceeds the dipolar field $B_d$, responsible for the braking of the pulsar rotation, by at least one order of magnitude. | background 1.00 | 0.09 | 0.03 | asserted 1.00 |
| s2 | Neither magnetospheric currents nor small scale field components generated during neutron star's birth can provide such field structures in old pulsars. | gap 0.58 | 0.15 | 0.04 | asserted 1.00 |
| s3 | While the former are too weak to create $B_s \gtrsim 5\times 10^{13}$G$\;\gg B_d$, the ohmic decay time of the latter is much shorter than $10^6$ years. | background 0.74 | 0.15 | 0.03 | asserted 1.00 |
| s4 | We suggest that a large amount of magnetic energy is stored in a toroidal field component that is confined in deeper layers of the crust, where the ohmic decay time exceeds $10^7$ years. | contribution 0.87 | 0.32 | 0.18 | hedged possibility 0.87 |
| s5 | This toroidal field may be created by various processes acting early in a neutron star's life. | background 0.67 | 0.14 | 0.04 | hedged possibility 0.99 |
| s6 | The Hall drift is a non-linear mechanism that, due to the coupling between different components and scales, may be able to create the demanded strong, small scale, magnetic spots. | contribution 0.56 | 0.13 | 0.21 | hedged possibility 1.00 |
| s7 | Taking into account both realistic crustal microphysics and a minimal cooling scenario, we show that, in axial symmetry, these field structures are created on a Hall time scale of $10^3$-$10^4$ years. | result 0.98 | 0.94 | 0.40 | asserted 1.00 |
| s8 | These magnetic spots can be long-lived, thereby fulfilling the pre-conditions for the appearance of the radio pulsar activity. | interpretation 0.79 | 0.57 | 0.40 | hedged possibility 0.61 |
| s9 | Such magnetic structures created by the Hall drift are not static, and dynamical variations on the Hall time scale are expected in the polar cap region. | interpretation 0.60 | 0.49 | 0.12 | hedged possibility 0.75 |
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The paper
Original abstract
The radio pulsar models based on the existence of an inner accelerating gap located above the polar cap rely on the existence of a small scale, strong surface magnetic field $B_s$. This field exceeds the dipolar field $B_d$, responsible for the braking of the pulsar rotation, by at least one order of magnitude. Neither magnetospheric currents nor small scale field components generated during neutron star's birth can provide such field structures in old pulsars. While the former are too weak to create $B_s \gtrsim 5\times 10^{13}$G$\;\gg B_d$, the ohmic decay time of the latter is much shorter than $10^6$ years. We suggest that a large amount of magnetic energy is stored in a toroidal field component that is confined in deeper layers of the crust, where the ohmic decay time exceeds $10^7$ years. This toroidal field may be created by various processes acting early in a neutron star's life. The Hall drift is a non-linear mechanism that, due to the coupling between different components and scales, may be able to create the demanded strong, small scale, magnetic spots. Taking into account both realistic crustal microphysics and a minimal cooling scenario, we show that, in axial symmetry, these field structures are created on a Hall time scale of $10^3$-$10^4$ years. These magnetic spots can be long-lived, thereby fulfilling the pre-conditions for the appearance of the radio pulsar activity. Such magnetic structures created by the Hall drift are not static, and dynamical variations on the Hall time scale are expected in the polar cap region.
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How the literature uses it
2 arXiv papers cite this in 2 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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It is demonstrated, that the Hall drift can produce small scale strong surface magnetic field anomalies (spots) on timescales of $10^4$ years by means of non-linear interaction between poloidal and toroidal components of the subsurface magnetic field.
What it cites · 3 sentences without a confident label
Uses the method or tool of 2 papers
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A numerical code based on a finite difference scheme and non-local boundary conditions ( [ref] ) has been used to follow the evolution of the magnetic field under typical conditions, with realistic microphysics ( [ref] ) and for the minimal cooling scenario ( [ref] ).
Minimal Cooling of Neutron Stars: A New Paradigm · Results from simulations. · 0.97
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A numerical code based on a finite difference scheme and non-local boundary conditions ( [ref] ) has been used to follow the evolution of the magnetic field under typical conditions, with realistic microphysics ( [ref] ) and for the minimal cooling scenario ( [ref] ).
astro-ph/1204470 · Results from simulations. · 0.97
Cites as support 2 papers
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Simultaneous X-ray and radio observations with X-ray spectra that can be fitted by blackbody radiation ( [ref] ) support these estimates.
XMM-Newton observation of the drifting pulsar B0943+10 · The basic idea. · 0.98
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Simultaneous X-ray and radio observations with X-ray spectra that can be fitted by blackbody radiation ( [ref] ) support these estimates.
X-ray Emission from the nearby PSR B1133+16 · The basic idea. · 0.98
Cites as background 2 papers
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The Partially Screened Gap Model relies on an intimate interplay of the cohesive energy in the polar cap surface layer and the corresponding surface temperature $T_s$ as well as on the partial screening by the thermal outflow of iron ions ( [ref] ).
Drifting subpulses and inner acceleration regions in radio pulsars · The basic idea. · 0.91
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For details see [ref] .
Magnetic field dissipation in neutron star crusts: from magnetars to isolated neutron stars · Results from simulations. · 0.87
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