Similarity of the coupled equations for RF waves in a tokamak

Abstract

In this paper, a similarity relation between RF wave systems in tokamaks is found theoretically by investigating scaling conditions of plasma density and temperature, tokamak size and background magnetic fields, and RF wave frequency and power. The scaling conditions simultaneously satisfy Maxwell's equations, the Grad-Shafranov equation, and the Fokker-Planck equation. The consistency of the scaling with transport equations is examined by several empirical and theoretical scalings for confinement time. The similarity found in this paper is useful to investigate the possibility of the test system for RF wave experiments and verify the coupled numerical codes for the wave modeling.