DOE OSTI2011
Within the framework of a reduced collisionless magnetohydrodynamics (MHD) model containing the effects of electron inertia and electron pressure gradient, scaling laws of the strongly coupled collisionless q=2 triple tearing instabilities with broad linear spectra in a tokamak plasma are studied numerically. It is found that as the poloidal mode number m increases, the scaling power laws of the linear growth rate of triple tearing modes (TTMs) on S{sub Hp}, d{sub e}, and {rho}{sub s} change gradually from the strongly coupled tearing mode scalings to the standard single tearing mode (STM) scalings, where S{sub Hp} is the magnetic Reynolds number, d{sub e} is the electron inertial skin depth, and {rho}{sub s} is the ion sound gyroradius. For example, d{sub e}-scaling of the linear growth rate {gamma}{approx}d{sub e}{sup {alpha}}{sub d} changes gradually from {gamma}{approx}d{sub e}{sup 1} to {gamma}{approx}d{sub e}{sup 3} as the m number increases in the case of {rho}{sub s}<<d{sub e}, while {rho}{sub s}-scaling {gamma}{approx}d{sub e}{sup {alpha}}{sub {rho}} shifts gradually from {gamma}{approx}{rho}{sub s}{sup 2/3} to {gamma}{approx}{rho}{sub s}{sup 1} as m increases in the case of d{sub e}<<{rho}{sub s}. Furthermore, it is observed that the increase of {rho}{sub s} gradually weakens the dependence on d{sub e} in both large and small {Delta}' regimes, such as, {approx}d{sub e}{sup 1{yields}{approx}}d{sub e}{sup 1/3} in the large {Delta}' regime, where {Delta}' is the linear instability parameter of tearing modes. The numerical results about the scaling laws are validated by the previous relevant analytical theories in terms of the similarity of physical characteristics in the same {Delta}' regime. In addition, the effects of d{sub e} and {rho}{sub s} on the spectrum structures of the unstable TTMs are discussed. Finally, the spatial characteristics of the eigenmode structures for different mode numbers are analyzed in detail. It is interestingly found that the structure of the most unstable eigenmode of the TTMs is quite similar to the eigenmode structure of a standard double tearing mode (DTM).
70 PLASMA PHYSICS AND FUSION TECHNOLOGY↗