@article{Verma_Malik_2023, title={Analytical solution of Rayleigh-Taylor instability in a Hall thruster having double-ionized ions}, volume={17}, url={https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/analytical-solution-of-rayleigh-taylor-instability-in-a-hall-thruster-having-double-ionized-ions/}, DOI={10.57647/j.jtap.2023.1705.53}, abstractNote={A modified Rayleigh-Taylor (RT) instability equation is derived using a three-fluid Hall thruster plasma model by including multi-ionized ions to study the growth rate of the RT instability. For a simplified plasma density and electron drift velocity axial profile, the growth rate for an unstable wave and the condition leading to this instability are discussed. A possible analytical solution for the modified Rayleigh-Taylor equation is discussed along with the condition that leads to it. For double-ionized ions, the behavior of growth rate and perturbed potential for different densities of double-ionized ions are studied.}, number={5}, journal={Journal of Theoretical and Applied Physics}, publisher={OICC Press}, author={Verma, Dhananjay and Malik, Hitendra K.}, year={2023}, month={Nov.}, keywords={Density-driven instability, Instability conditions, Multi-ionized ions, Solution of modified Rayleigh-Taylor equation} }