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Nonlinear Interaction of a 3D Kinetic Alfv\ en Wave with a Null Point and Turbulence Generation in the Solar Corona
Author  Patel, G.; Pathak, N.; Uma, R.; Sharma, R.~P.; 
Keywords  Parker Data Used; Solar corona heatingSun: corona turbulence; Wave; Null points 
Abstract  In the present paper, we have studied nonlinear kinetic Alfv\ en waves (KAWs) in the vicinity of a null point. We have considered the nonlinearity due to ponderomotive effects associated with KAWs in the solar corona. A 3D model equation representing the dynamics of KAWs is developed in this null point scenario. Using numerical methods, we have solved the model equation for solar coronal parameters. The pseudospectral method and the finite difference method have been applied to tackle spatial integration and temporal evaluation, respectively. The outcome of the simulation demonstrates the formation of localized structures. With the evolution of time, these localized structures become more chaotic. Chaotic (turbulent) structures can efficiently transfer energy. The power spectrum of these turbulent structures shows the Kolmogorov spectral index of nearly \ensuremath5 /3 in the inertial range followed by a steeper spectrum of nearly \ensuremath3.3 (in the range of \ensuremath2 to \ensuremath4). These structures also lead to the generation of a current sheet. To understand the physics of our model, we have also done a semianalytical study for our model equation. Semianalytical calculations reveal that the current sheet structures have scale sizes of the order of the ion gyroradius. The relevance of this investigation to the current observations by Parker Solar Probe has also been discussed. 
Year of Publication  2022 
Journal  \solphys 
Volume  297 
Number of Pages  149 
Section  
Date Published  nov 
ISBN  
URL  
DOI  10.1007/s11207022020835 