Generalized two-fluid theory of nonlinear magnetic structures

A system of equations is introduced and discussed that describe the nonlinear dynamics of magnetic perturbations in a magnetized, high‐temperature plasma. Diamagnetism, ion gyroradii effects, and finite electron mass are taken into account. These equations govern Alfven as well as electrostatic waves and vortices and describe the nonlinear evolution of reconnecting modes. Electrons are treated in a fluid model. The equation for the ion response is new and is a nonlinear generalization to all orders in the thermal ion gyroradius of the nonlinear fluid model. This system of equations conserves two fluxes that are different from, but related to, the magnetic flux. Two‐dimensional equilibrium solutions in the form of stationary propagating magnetic structures are obtained with the methods introduced in the theory of vector nonlinearities in electrostatic drift vortices. In the noncollisional regimes of interest the inertia of the electrons resolves the singularity in the current density that tends to develop ...

[1]  Richard D Hazeltine,et al.  Hamiltonian formulation of reduced magnetohydrodynamics , 1983 .

[2]  B. Kadomtsev.  Plasma transport in tokamaks , 1991 .

[3]  William Dorland,et al.  Gyrofluid turbulence models with kinetic effects , 1993 .

[4]  F. Porcelli,et al.  Internal kink modes in the ion‐kinetic regime , 1989 .

[5]  H. R. Strauss,et al.  Nonlinear, three‐dimensional magnetohydrodynamics of noncircular tokamaks , 1976 .

[6]  H. Wilhelmsson,et al.  Review of plasma physics: Vol. 1 (ed. M. A. Leontovich, Consultants Bureau, New York, 1965) pp. 326, $ 12.50 , 1966 .

[7]  B. V. Waddell,et al.  Magnetic reconnection and m = 1 oscillations in current carrying plasmas , 1978 .

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

[9]  V. Pavlenko,et al.  Hamiltonian description and stability of magnetic electron vortices , 1993 .

[10]  W. Horton,et al.  Solitary drift waves in the presence of magnetic shear , 1982 .

[11]  B. Rogers,et al.  Two‐fluid magnetohydrodynamic description of the internal kink mode in tokamaks , 1992 .

[12]  V. Lebedev,et al.  Spontaneous mean flow shear amplification in turbulent plasmas , 1994 .

[13]  W. Horton,et al.  On the stability of shear‐Alfvén vortices , 1994 .

[14]  F. Pegoraro,et al.  Theory of Resistive Modes in the Ballooning Representation , 1986 .

[15]  Drake,et al.  Collisionless reconnection and the sawtooth crash. , 1991, Physical review letters.

[16]  K. Murawski,et al.  Solitary waves in plasmas and in the atmosphere , 1989 .

[17]  J. Hammer,et al.  Theory of Tokamak Plasmas , 1989 .