Nonlinear effects associated with Alfvén ion cyclotron wave, and turbulence generation in presence of magnetic islands in solar wind plasmas

In order to comprehend particle acceleration and transit in interplanetary space, nonlinear processes are of great importance. One process contributing to the heating of the plasmas might be the ponderomotive nonlinearity and magnetic islands that causes the localization of the parallel propagating left-handed circularly polarized dispersive Alfvén wave having a finite frequency. This study investigates the impact of nonlinearity on the creation of localized structures and current sheets formation in solar wind. Pseudo-spectral method and finite difference method with modified predictor-corrector approach are the mathematical models used for spatial integration and temporal integration, respectively, for studying the evolution of left-handed circularly polarized dispersive Alfvén wave. The findings of current study show that the nonlinearity in the system and the presence of magnetic islands are responsible for chaotic structures and turbulent state. Furthermore, to refine the physics behind the localization and current sheets formation the semi-analytical model has been used. The localized structures and current sheets obtained have the scale size of the order of ion inertial length.