Solutions of Grad-Shafranov （CS） equation with Reversed Current Density （RCD） profiles present mag- netic islands when the magnetic flux is explicitly dependent on the poloidal angle. In this work it is shown that...Solutions of Grad-Shafranov （CS） equation with Reversed Current Density （RCD） profiles present mag- netic islands when the magnetic flux is explicitly dependent on the poloidal angle. In this work it is shown that a typical cylindrical （large aspect-ratio） RCD equilibrium configuration perturbed by the magnetic field of a circular loop （simulating a divertor） is capable of generate magnetic islands, due to the poloidal symmetry break of the GS equilibrium solution.展开更多
The solution of Grad-Shafranov equation determines the stationary behavior of fusion plasma inside a tokamak. To solve the equation it is necessary to know the toroidal current density profile. Recent works show that ...The solution of Grad-Shafranov equation determines the stationary behavior of fusion plasma inside a tokamak. To solve the equation it is necessary to know the toroidal current density profile. Recent works show that it is possible to determine a magnetohydrodynamic （MHD） equilibrium with reversed current density （RCD） profiles that presents magnetic islands. In this work we show analytical MHD equilibrium with a RCD profile and analyze the structure of the vacuum vector potential associated with these equilibria using the virtual casing principle.展开更多
文摘Solutions of Grad-Shafranov （CS） equation with Reversed Current Density （RCD） profiles present mag- netic islands when the magnetic flux is explicitly dependent on the poloidal angle. In this work it is shown that a typical cylindrical （large aspect-ratio） RCD equilibrium configuration perturbed by the magnetic field of a circular loop （simulating a divertor） is capable of generate magnetic islands, due to the poloidal symmetry break of the GS equilibrium solution.
基金State University of Campinas and CNPq (brazili anagency) for financial support
文摘The solution of Grad-Shafranov equation determines the stationary behavior of fusion plasma inside a tokamak. To solve the equation it is necessary to know the toroidal current density profile. Recent works show that it is possible to determine a magnetohydrodynamic （MHD） equilibrium with reversed current density （RCD） profiles that presents magnetic islands. In this work we show analytical MHD equilibrium with a RCD profile and analyze the structure of the vacuum vector potential associated with these equilibria using the virtual casing principle.
