EVALUATION OF RECONNECTION PARAMETERS FOR COLLISIONLESS DISPENSATION IN SOLAR CORONA  

By

C. Pant1 , B. Pande*2, S. Pande3 and M. C. Joshi4

123Department of Physics, 4Department of Mathematics, DSB Campus Kumaun University Nainital-263001, Uttarakhand, India Email:pantcharita94@gmail.com,pande.seema@yahoo.com,mcjoshi69@gmail.com 

*correponding author-pandebimal@yahoo.co.in 

(Received : July 23, 2021 : In format : October 11, 2021 ; Revised in final form : January 18, 2022) 

DOI: https://doi.org/10.58250/Jnanabha.2022.52103

Abstract

In the present paper, we have obtained an analytical solution for the thickness of current sheet in the dissipation region of the solar corona, reconnection time and reconnection rate for collisionless magnetic reconnection occuring in the solar corona. For our analysis we have used the length scale of the electron dissipation region based on field reversals. The reconnection electric field and component of the electron pressure tensor used in the Sweet-Parker model have been utilised to finally determine the exact numerical value of the thickness of current sheet, reconnection time and reconnection rate. It is shown that the thickness of the current sheet in the collisionless reconnection model is directly proportional to the electron mass and inversely proportional to the length scale of the electron dissipation region. Also, it is shown that the reconnection time is inversely proportional to the cube of the magnetic field and directly proportional to length scale, whereas reconnection rate is inversely proportional to the length scale of the electron dissipation region. 

2020 Mathematical Sciences Classification: 00A79. 

Keywords and Phrases: Dissipation region, magnetic reconnection, reconnection rate, solar corona.