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- W3104805896 abstract "We investigate the conditions under which the magnetohydrodynamic (MHD) modes in a cylindrical magnetic flux tube moving along its axis become unstable against the Kelvin--Helmholtz (KH) instability. We textbf{use} the dispersion relations of MHD modes textbf{obtained} from the linearized Hall MHD equations for cool (zero beta) plasma textbf{by assuming} real wave numbers and complex angular wave frequenciestextbf{/complex wave phase velocities}. The dispersion equations are solved numerically at fixed input parameters and varying values of the ratio $l_mathrm{Hall}/a$, where $l_mathrm{Hall} = c/omega_mathrm{pi}$ ($c$ being the speed of light, and $omega_mathrm{pi}$ the ion plasma frequency) and $a$ is the flux tube radius. It is shown that the stability of the MHD modes depends upon four parameters: the density contrast between the flux tube and its environment, the ratio of external and internal magnetic fields, the ratio $l_mathrm{Hall}/a$, and the value of the Alfv'en Mach number textbf{defined as the ratio of the tube axial velocity to Alfv'en speed inside the flux tube}. It is found that at high density contrasts, for small values of $l_mathrm{Hall}/a$, the kink ($m = 1$) mode can become unstable against KH instability at some critical Alfv'en Mach number (or equivalently at critical flow speed), but a threshold $l_mathrm{Hall}/a$ can suppress the onset of the KH instability. At small density contrasts, however, the magnitude of $l_mathrm{Hall}/a$ does not affect noticeably the condition for instability occurrence---even though it can reduce the critical Alfv'en Mach number. It is established that the sausage mode ($m = 0$) is not subject to the KH instability." @default.
- W3104805896 created "2020-11-23" @default.
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- W3104805896 date "2018-01-01" @default.
- W3104805896 modified "2023-10-16" @default.
- W3104805896 title "Kelvin–Helmholtz Instability in a Cool Solar Jet in the Framework of Hall Magnetohydrodynamics: A Case Study" @default.
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- W3104805896 doi "https://doi.org/10.1007/s11207-017-1230-0" @default.
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