The role of polarization current in magnetic island evolution

The polarization current plays an important role in the evolution of magnetic islands with a width comparable to the characteristic ion orbit width. Understanding the evolution of such small magnetic islands is important for two reasons: (1) to investigate the threshold mechanisms for growth of large-scale islands (e.g., neoclassical tearing modes), and (2) to describe the drive mechanisms for small-scale magnetic turbulence and consequent transport. This article presents a two-fluid, cold ion, collisional analysis of the role of the polarization current in magnetic island evolution in slab geometry. It focuses on the role played by the conjunction of parallel electron dynamics and perpendicular transport (particle diffusion and viscosity) in determining the island rotation frequency and the distribution of the polarization current within the island.

[1]  B. Kadomtsev,et al.  Reviews of Plasma Physics , 2012 .

[2]  A. Mikhailovskii,et al.  Regularized magnetic islands. II. The role of polarization current , 2000 .

[3]  Interaction between an Alfvén wave and a particle undergoing acceleration along a magnetic field , 2000 .

[4]  R. Fitzpatrick,et al.  Rotation and Locking of Magnetic Islands , 1997 .

[5]  E. J. Strait,et al.  The collisionality dependence of tokamak -limits , 1996 .

[6]  H. R. Wilson,et al.  Threshold for neoclassical magnetic islands in a low collision frequency tokamak , 1996 .

[7]  J. Connor,et al.  Theory of isolated, small-scale magnetic islands in a high temperature tokamak plasma , 1995 .

[8]  E. Lazzaro,et al.  Rotating nonlinear magnetic islands in a tokamak plasma , 1995 .

[9]  R. Fitzpatrick,et al.  Helical temperature perturbations associated with tearing modes in tokamak plasmas , 1995 .

[10]  X. Garbet,et al.  Kinetic theory of magnetic island stability in tokamaks , 1994 .

[11]  Andrei Smolyakov,et al.  Nonlinear evolution of tearing modes in inhomogeneous plasmas , 1992 .

[12]  P. Rebut,et al.  Magnetic turbulence self-sustainment by finite Larmor radius effect , 1991 .

[13]  X. Garbet,et al.  Microtearing turbulence and heat transport , 1990 .

[14]  X. Garbet,et al.  Non-linear self consistency of microtearing modes , 1988 .

[15]  A. Hassam,et al.  Analytical theory of nonlinear drift‐tearing mode stability , 1987 .

[16]  T. Hahm,et al.  Linear stability of tearing modes , 1986 .

[17]  A. Hassam,et al.  Nonlinear evolution of drift‐tearing modes , 1985 .

[18]  Richard D Hazeltine,et al.  Nonlinear dynamics of magnetic islands with curvature and pressure , 1984 .

[19]  R. White,et al.  Nonlinear drift tearing modes , 1980 .

[20]  D. Biskamp Non-linear quenching of diamagnetic and gyroviscous effects in tearing modes , 1979 .

[21]  D. Biskamp Drift-tearing modes in a tokamak plasma , 1978 .

[22]  Paul H. Rutherford,et al.  Nonlinear growth of the tearing mode , 1973 .

[23]  S. I. Braginskii Reviews of Plasma Physics , 1965 .

[24]  A. Sommerfeld Partial Differential Equations in Physics , 1949 .