Linear and Nonlinear Mode in Magnetized e–i Plasma With Non‐Maxwellian Distribution

ABSTRACT The study gives a detailed theoretical framework for ion temperature gradient (ITG) modes in magnetized, inhomogeneous electron‐ion plasmas, where electron behavior is taken as a Kaniadakis distribution. The fluid description is extended under electrostatic, low‐frequency drift ordering, allowing for a systematic analysis of both linear and nonlinear regimes. Non‐Maxwellian electrons influence ITG growth rates and spectral characteristics. While in the nonlinear regime we obtained the Korteweg‐de‐Vries and Burger equations with modified nonlinear, dispersion, and dissipation coefficients that depend on the different plasma parameters as well as on the spectral index of the distribution. These findings can be applicable to the space as well as to the laboratory plasmas.