2015
DOI: 10.1017/s0022377815001257
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Effect of guide field on three-dimensional electron shear flow instabilities in electron current sheets

Abstract: We examine the effect of an external guide field and current sheet thickness on the growth rates and nature of three dimensional unstable modes of an electron current sheet driven by electron shear flow. The growth rate of the fastest growing mode drops rapidly with current sheet thickness but increases slowly with the strength of the guide field. The fastest growing mode is tearing type only for thin current sheets (half thickness ≈ d e , where d e = c/ω pe is electron inertial length) and zero guide field.Fo… Show more

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Cited by 14 publications
(9 citation statements)
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“…In general, an electron current sheet is unstable to tearing and non-tearing modes. For a finite guide field and L = d e , the growth rate of the fastest growing non-tearing mode is larger but comparable to that of the 2-D tearing mode (k z = 0) 25 . The power of the initial perturbation ∝ sin(πy/l y ) exp(−z 2 /2L 2 ) added to the equilibrium peaks for k z = 0 and k y d e = 0.628.…”
Section: Spreading Of Localized Magnetic Reconnectionmentioning
confidence: 89%
“…In general, an electron current sheet is unstable to tearing and non-tearing modes. For a finite guide field and L = d e , the growth rate of the fastest growing non-tearing mode is larger but comparable to that of the 2-D tearing mode (k z = 0) 25 . The power of the initial perturbation ∝ sin(πy/l y ) exp(−z 2 /2L 2 ) added to the equilibrium peaks for k z = 0 and k y d e = 0.628.…”
Section: Spreading Of Localized Magnetic Reconnectionmentioning
confidence: 89%
“…In the simulations, the half-thicknesses of the shear layers of the in-plane and out-of-plane electron flows are of the order of an electron inertial length. Ignoring the in- plane shear flows, the fastest growing mode feeding on the out-of-plane electron shear flow v z0 (x ) in the presence of a large guide magnetic field is non-tearing with a growth rate γ f ∼ 0.05 ω ce and wave numbers k y d e ∼ 10 and k z d e ∼ 1 16 . However, the simulations do not show any mode developing in the z-direction, i.e., k z = 0, suggesting no role of the instabilities feeding on out-of-plane electron shear flow.…”
Section: Discussionmentioning
confidence: 99%
“…Otherwise non-tearing mode instabilities dominate. In recent eigen-value analysis of 3-D electron shear flow instabilities, we have shown that finite guide field makes the linear electron tearing mode instability sub-dominant even for the thin current sheets 14 .…”
Section: Introductionmentioning
confidence: 90%
“…8b shows that < k 2 y > remains greater than < k 2 z > throughout the evolution for strength of guide field in the range B g /B 0 =1-4. In the early phase this is because of k y > k z typical for the linearly unstable modes in case of finite guide fields 14 . This can be seen in Fig.…”
Section: Evolution Of Electron Shear Flow Instabilities In the Pmentioning
confidence: 99%
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