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• W4383553205 abstract "Abstract We study the linear stability of a planar interface separating two fluids in relative motion, focusing on conditions appropriate for the boundaries of relativistic jets. The jet is magnetically dominated, whereas the ambient wind is gas-pressure-dominated. We derive the most general form of the dispersion relation and provide an analytical approximation of its solution for an ambient sound speed much smaller than the jet Alfvén speed v A , as appropriate for realistic systems. The stability properties are chiefly determined by the angle ψ between the wavevector and the jet magnetic field. For ψ = π /2, magnetic tension plays no role, and our solution resembles the one of a gas-pressure-dominated jet. Here, only sub-Alfvénic jets are unstable ( <?CDATA $0lt {M}_{e}equiv (v/{v}_{{rm{A}}})cos theta lt 1$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mn>0</mml:mn> <mml:mo><</mml:mo> <mml:msub> <mml:mrow> <mml:mi>M</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>e</mml:mi> </mml:mrow> </mml:msub> <mml:mo>≡</mml:mo> <mml:mo stretchy=false>(</mml:mo> <mml:mi>v</mml:mi> <mml:mrow> <mml:mo stretchy=true>/</mml:mo> </mml:mrow> <mml:msub> <mml:mrow> <mml:mi>v</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant=normal>A</mml:mi> </mml:mrow> </mml:msub> <mml:mo stretchy=false>)</mml:mo> <mml:mi>cos</mml:mi> <mml:mi>θ</mml:mi> <mml:mo><</mml:mo> <mml:mn>1</mml:mn> </mml:math> , where v is the shear velocity and θ the angle between the velocity and the wavevector). For ψ = 0, the free energy in the velocity shear needs to overcome the magnetic tension, and only super-Alfvénic jets are unstable ( <?CDATA $1lt {M}_{e}lt sqrt{{(1+{{rm{Gamma }}}_{w}^{2})/[1+({v}_{{rm{A}}}/c)}^{2}{{rm{Gamma }}}_{w}^{2}]}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mn>1</mml:mn> <mml:mo><</mml:mo> <mml:msub> <mml:mrow> <mml:mi>M</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>e</mml:mi> </mml:mrow> </mml:msub> <mml:mo><</mml:mo> <mml:msqrt> <mml:mrow> <mml:msup> <mml:mrow> <mml:mo stretchy=false>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:msubsup> <mml:mrow> <mml:mi mathvariant=normal>Γ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>w</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:msubsup> <mml:mo stretchy=false>)</mml:mo> <mml:mrow> <mml:mo stretchy=true>/</mml:mo> </mml:mrow> <mml:mo stretchy=false>[</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mo stretchy=false>(</mml:mo> <mml:msub> <mml:mrow> <mml:mi>v</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant=normal>A</mml:mi> </mml:mrow> </mml:msub> <mml:mrow> <mml:mo stretchy=true>/</mml:mo> </mml:mrow> <mml:mi>c</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:msup> <mml:msubsup> <mml:mrow> <mml:mi mathvariant=normal>Γ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>w</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:msubsup> <mml:mo stretchy=false>]</mml:mo> </mml:mrow> </mml:msqrt> </mml:math> , with Γ w the wind adiabatic index). Our results have important implications for the propagation and emission of relativistic magnetized jets." @default.
• W4383553205 created "2023-07-08" @default.
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• W4383553205 date "2023-07-01" @default.
• W4383553205 modified "2023-10-14" @default.
• W4383553205 title "The Kelvin–Helmholtz Instability at the Boundary of Relativistic Magnetized Jets" @default.
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• W4383553205 doi "https://doi.org/10.3847/2041-8213/acdfcf" @default.
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