Nonlinearity of ion temperature gradient mode with entropy drift

Abstract
We investigated the role of entropy in linear and nonlinear structures and obtained the linear dispersion relation from the set of Braginskii's ion transport equations, demonstrating that entropy has an effect on the mode's linear features. We also discovered that the system's entropy is responsible for nonlinear structure changes such as compression to refractive types, as well as other features influenced by it and other plasma parameters such as dust density, charge number and mass, and so on. Our observations are very useful for space plasma observations such as interstellar space, planetary rings, and laboratory plasma because in the mentioned plasmas there is a lot of entropy due to the temperature differences.