Landau fluid equations for electromagnetic and electrostatic fluctuations

Closure relations are developed to allow approximate treatment of Landau damping and growth using fluid equations for both electrostatic and electromagnetic modes. The coefficients in these closure relations are related to approximations of the plasma dispersion function by ratios of polynomials. Thirteen different numerical sets of coefficients are given and explicitly related to previous fits to the plasma dispersion function. The application of the techniques presented in this paper is illustrated with the specific example of resistive g modes. Comparisons of full kinetic and approximate results are made for the solutions to the dispersion relation, radially resolved modes in sheared magnetic geometry, and the plasma dispersion function itself.

[1]  Burton D. Fried,et al.  The Plasma Dispersion Function , 1961 .

[2]  N. A. Krall,et al.  Principles of Plasma Physics , 1973 .

[3]  M. N. Rosenbluth,et al.  Instabilities due to Temperature Gradients in Complex Magnetic Field Configurations , 1967 .

[4]  Patrick H. Diamond,et al.  Theory of resistive pressure-gradient-driven turbulence , 1987 .

[5]  Patrick H. Diamond,et al.  Theory of ion‐temperature‐gradient‐driven turbulence in tokamaks , 1986 .

[6]  R. Hazeltine,et al.  A generalized reduced fluid model with finite ion-gyroradius effects , 1986 .

[7]  J. W. Van Dam,et al.  Excitation of the toroidicity-induced shear Alfvén eigenmode by fusion alpha particles in an ignited tokamak , 1989 .

[8]  C. Hedrick,et al.  Two-Pole Approximation for the Plasma Dispersion Function , 1968 .

[9]  M. Rosenbluth,et al.  Parallel velocity shear instabilities in an inhomogeneous plasma with a sheared magnetic field , 1973 .

[10]  Chio Cheng,et al.  Energetic particle effects on global magnetohydrodynamic modes , 1990 .

[11]  B. A. Carreras,et al.  TEXT tokamak edge turbulence modeling , 1991 .

[12]  P. Diamond,et al.  Theory of ionization‐driven drift wave turbulence , 1992 .

[13]  N. T. Gladd,et al.  Critical shear and growth rates for drift waves in a nonuniform current- carrying plasma , 1973 .

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

[15]  Perkins,et al.  Fluid moment models for Landau damping with application to the ion-temperature-gradient instability. , 1990, Physical review letters.

[16]  Harold P. Furth,et al.  Finite‐Resistivity Instabilities of a Sheet Pinch , 1963 .