2013
DOI: 10.1088/0004-637x/770/2/84
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Turbulent Amplification of a Magnetic Field Driven by the Dynamo Effect at Rippled Shocks

Abstract: We derive analytically the vorticity generated downstream of a two-dimensional rippled hydromagnetic shock neglecting fluid viscosity and resistivity. The growth of the turbulent component of the downstream magnetic field is driven by the vortical eddies motion. We determine an analytic time-evolution of the magnetic field amplification at shocks, so far described only numerically, until saturation occurs due to seed-field reaction to field lines whirling. The explicit expression of the amplification growth ra… Show more

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Cited by 59 publications
(68 citation statements)
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References 54 publications
(87 reference statements)
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“…In this paper we show for the first time that the overdensity clumps within the expanding plasma of Cassiopeia A, once crossed by the reflection inward shock, lead to the [4.2 − 6] keV flux increase via magnetic field amplification through vorticity generation, as calculated in Fraschetti [7]. Such a process was first identified via two-dimensional magnetohydrodynamic (MHD) numerical simulations in Giacalone and Jokipii [8] and also investigated by several teams, including Inoue et al [9].…”
mentioning
confidence: 55%
“…In this paper we show for the first time that the overdensity clumps within the expanding plasma of Cassiopeia A, once crossed by the reflection inward shock, lead to the [4.2 − 6] keV flux increase via magnetic field amplification through vorticity generation, as calculated in Fraschetti [7]. Such a process was first identified via two-dimensional magnetohydrodynamic (MHD) numerical simulations in Giacalone and Jokipii [8] and also investigated by several teams, including Inoue et al [9].…”
mentioning
confidence: 55%
“…More generally, turbulence is believed to be an efficient agent to amplify magnetic fields via the turbulent dynamo (Kazantsev 1968;Kulsrud & Anderson 1992), which has also been invoked for explaining both the preshock (Beresnyak, Jones, & Lazarian 2009, hereafter BJL09;Drury & Downes 2012;del Valle et al 2016) and postshock (Balsara et al 2001;Giacalone & Jokipii 2007;Inoue et al 2009;Guo et al 2012;Fraschetti 2013;Ji et al 2016) magnetic fields. As turbulence is induced by the interaction between SNR shocks and interstellar turbulent density fluctuations, the turbulent dynamo is inevitable in SNRs with the turbulent kinetic energy dominating over the pre-existing magnetic energy.…”
mentioning
confidence: 99%
“…As a turbulent dynamo effect, it is known that magnetic field can be amplified by astrophysical shocks beyond simple shock compression. This has been proved both numerically [7] and analytically [8], and has been applied to explain observations of supernovae remnants (SNRs) [9] and γ-ray bursts (GRBs) [10]. If this kind of amplification is also at work in the shocks in the relativistic jets which presumably cause the blazar flares, it can be expected to explain the orphan optical flares.…”
Section: Introductionmentioning
confidence: 88%