The role of finite-orbit effect in the theory of magnetic islands in tokamaks (Q1420647)

The goal is to study magnetic islands in tokamaks. Half width of islands \(w\) is supposed limited \(\rho_i < w < \frac{\rho_i}{\epsilon^{1/2}}\), where \(\rho_i\) is the Larmour radius, \(\epsilon\) is the ratio of small to large radii of tokamak (so called inverse aspect ratio). The generalized Rutherford equation is considered and the contribution of particles with finite orbits is analyzed. The longitudinal current density and electrostatic potential are calculated in approximation of cold electrons.