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Relativistic Alfv'en Waves Entering Charge Starvation in the Magnetospheres of Neutron Stars | | Alexander Y. Chen
; Yajie Yuan
; Andrei M. Beloborodov
; Xinyu Li
; | | Date: |
29 Oct 2020 | | Abstract: | Instabilities in a neutron star can generate Alfv’en waves in its
magnetosphere. Propagation along the curved magnetic field lines strongly
shears the wave, boosting its electric current $j_{
m A}$. We derive an
analytic expression for the evolution of the wave vector $oldsymbol{k}$ and
the growth of $j_{
m A}$. In the strongly sheared regime, $j_{
m A}$ may
exceed the maximum current $j_{0}$ that can be supported by the background
$e^{pm}$ plasma. We investigate these "charge-starved" waves, first using a
simplified two-fluid analytic model, then with first-principles kinetic
simulations. We find that the Alfv’en wave continues to propagate successfully
even when $kappa equiv j_{
m A}/j_{0} gg 1$. It sustains $j_{
m A}$ by
compressing and advecting the plasma along the magnetic field lines with
particle Lorentz factors $sim kappa^{1/2}$. The simulations show how plasma
instabilities lead to gradual dissipation of the wave energy, giving a
dissipation power $L_{
m diss}sim 10^{35}(kappa/100)^{1/2}
(B_w/10^{11},{
m G}),mathrm{erg/s}$, where $B_w$ is the wave amplitude. Our
results imply that dissipation due to charge starvation is not sufficient to
power observed fast radio bursts (FRBs), in contrast to recent proposals. | | Source: | arXiv, 2010.15619 | | Services: | Forum | Review | PDF | Favorites | |
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