Magnetohydrodynamic equations for plasmas with finite-Larmor-radius effects

Journal of Plasma Physics

Volumn 60, Issue 1, 1998, Pages 133-149

  Pogutse, Igor O ^a   Smolyakov, Andrei I ^a   Hirose, Akira ^a  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

HEAT FLUX; MAGNETIC FIELD EFFECTS; MAGNETOHYDRODYNAMICS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; VISCOSITY;

FINITE-LARMOR-RADIUS EFFECTS; HEAT-FLUX EVOLUTION EQUATION; MOMENTUM BALANCE EQUATION; VISCOSITY EQUATION; VLASOV KINETIC EQUATION;

MAGNETOPLASMA;

EID: 0032118942     PISSN: 00223778     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022377898006552     Document Type: Article

References (35)

1. Aydemir, A. Y. 1991 Nonlinear studies of m = 1 modes in high temperature plasmas. Phys. Fluids B3, 3649-3472.
2. Balescu, R. 1988 Transport Processes in Plasmas. Vol. 1: Classical Transport Theory, p. 317. North-Holland, Amsterdam.
3. Bernstein, I. B. 1985 Generalized gyrokineties. Phys. Fluids 28, 1342-1353.
4. Braginskii, S. I. 1963 Transport processes in a plasma. Reviews of Plasma Physics, Vol. 1 (ed. M. A. Leontovich), pp. 205-311. Consultants Bureau, New York.
5. Brizard A. 1992 Nonlinear gyrofluid description of turbulent magnetized plasmas. Phys. Fluids B4, 1213-1228
6. Callen J. D. A. 1989 Models of plasma confinement and heating in tokamaks. The College of Engineering Lecture Series, University of Wisconsin Plasma Report UWPR 89-2.
7. Chew, G. F., Golberger, M. L. and Low, F. E. 1956 The Boltzmann equation and the one-fluid hydromagnetic equations in the absence of particle collisions. Proc. R. Soc. Lond. A236, 112-118.
8. Dorland, W. and Hammet, G. W. 1993 Gyrofluid turbulence with kinetic effects. Phys. Fluids B5, 812-835.
9. Gould, R. W. 1996 Fluid description of Bernstein waves. Bull. Am. Phys. Soc. 41, 1522.
10. Grad, H. 1949 On the kinetic theory of rarefied gases. Commun. Pure Appl. Maths 2, 331-407.
11. Hasegawa, A. and Chen, L. 1976 Kinetic processes plasma heating by resonant mode conversion of Alfvén waves. Phys. Fluids 19, 1924-1935.
12. Hassarn, A. B. and Huba, J. D. 1988 Magnetohydrodynamics equations for systems with large Larmor radius. Phys. Fluids 31, 318-325.
13. Hazeltine, R. D. and Meiss, J. D. 1985 Shear-Alfvén wave dynamics in toroidally confined plasma. Phys. Rep. 121, 1-164.
14. Hsu, C. T., Hazeltine, R. D. and Morrison, P. J. 1986 A generalized reduced fluid model with finite ion-gyroradius effects. Phys. Fluids 29, 1480-1487.
15. Ilgisonis, V. I. 1992 Integrals of the drift motion of particles with finite Larmor radius. Soviet Phys. JETP 74, 31-35.
16. Ilgisonis, V. I. 1995 Guiding-center theory for three-dimensional collisionless finite Larmor radius plasmas. Phys. Plasmas 2, 2387-2397.
17. Kogan, E. Ya, Moiseev, S. S. and Oraevkii, V. N. 1965 J. Appl. Mech. Tech. Phys. 1, 25-28.
18. Kulsrud, R. M. 1983 MHD description of plasma. Handbook of Plasma Physics, Vol. 1 (ed. M. N. Rozenbluth and R. Z. Sagdeev), pp. 115-146. North-Holland, Amsterdam.
19. Kuvshinov, B. N. 1994 Magnetohydrodynamic model for plasma instabilities in the ion-kinetic regime. Plasma Phys. Contr. Fusion, 36, 867-877.
20. Kuvshinov, B. N. and Mikhailovskii, A. B. 1996 MHD model including small-scale perturbations in plasma with temperature variations. Plasma Rep. 22, 529-534.
21. Kuvshinov, B. N., Pegoraro, F. and Schep, T. J. 1994 Hamiltonian formulation of low-frequency, nonlinear plasma dynamics. Phys Lett. 191A, 296-300.
22. Macmahon, A. 1965 Finite gyro-radius corrections to the hydromagnetic equations for a Vlasov plasma. Phys. Fluids 8, 1840-1845.
23. Marchenko, V., Denton, R. E. and Hudson, M. K. 1996 A magnetohydrodynamic model of kinetic Alfvén waves with finite ion gyroradius. Phys. Plasmas 3, 3861-3863.
24. Mikhailovskii, A. B. 1967 Oscillations of an inhomogeneous plasma. Reviews of Plasma Physics, Vol. 3 (ed. M. A. Leontovich) pp. 159-227. Consultants Bureau, New York.
25. Mikhailovskii, A. B. and Smolvakov, A. I. 1985 Theory of low-frequency solitons. Soviet Phys. JETP 61, 109-117.
26. Mikhailovskii, A. B. and Tsypin, V. S. 1984 Transport equations in a curvilinear magnetic field. Beitr. Plasmaphys. 24, 335-354.
27. Opp, E. N. and Hassam, A. B. 1991 Kelvin-Helmholtz instability in systems with large effective Larmor radius. Phys. Fluids B3, 885-892.
28. Pegoraro, F. and Schep, T. J. 1986 Theory of ballooning modes in the ballooning representation. Plasma Phys. Contr Fusion 28, 647-667.
29. Schep, T. J., Pegoraro, F. and Kuvshinov, B. N. 1994 Generalized two-fluid theory of nonlinear magnetic structures. Phys. Plasmas 1, 2843-2852.
30. Shkarovsky, I. P., Johnston, T. W. and Bachynski, M. P. 1966 The Particle Kinetics of Plasmas. Addison-Wesley, Reading, MA.
31. Smolvakov, A. I., Pogutse, I. O. and Hirose, A. 1995 Fluid model of collisionless plasma with finite Larmor radius effects. Phys Plasmas, 2, 4451-4454.
32. Sovinec, C. R., Barnes, D. C., Nebel, R. A. and Gianakon, T. A. 1996 The physical model of the NIMROD code. Bull. Am. Phys. Soc. 41, 1361.
33. Tsai, S.-T., Perkins, F. W. and Stix, T. H. 1970 Thermal conductivity and low frequency waves in collisional plasma. Phys. Fluids 13, 2108-2114.
34. Velikovich, A. L. 1991 Rayleigh-Taylor instability of a plasma-vacuum boundary in the limit of a large Larmor radius. Phys. Fluids B3, 492-494.
35. Zakharov, L. E. and Rogers, B. 1992 Two-fluid magnetohydrodynamic descriprion of the internal kink mode in tokamaks. Phys. Fluids B4, 3285-3301.