Wave mixing and instabilities in cosmic-ray-modified shocks and flows

Journal of Plasma Physics

Volumn 61, Issue 4, 1999, Pages 553-599

  Webb, G M ^a   Zakharian, A ^a   Zank, G P ^b  

^a UNIVERSITY OF ARIZONA   (United States)

^b UNIVERSITY OF DELAWARE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE EFFECTS; ASTROPHYSICS; COSMIC RAYS; DAMPING; DIFFUSION IN GASES; ENTROPY; GAS DYNAMICS; HYDRODYNAMICS; PLASMA FLOW; PLASMA SHOCK WAVES; PLASMA STABILITY;

ENTROPY WAVES; WAVE MIXING;

PLASMA INTERACTIONS;

EID: 0032656058     PISSN: 00223778     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022377898007466     Document Type: Article

References (57)

1. Achterberg, A. and Ball, L. 1994 Particle acceleration at superluminal. quasi-perpendicular shocks, application to SN 1978K and SN 1987A. Astron. Astrophys. 285, 687.
2. Armstrong, J. W., Rickett, B. J. and Spangler, S. R. 1995 Electron density power spectrum in the local interstellar medium. Astrophys. J. 443, 209.
3. Axford, W. I. 1981 Acceleration of cosmic rays by shock waves. In: Proceedings of 17th International Cosmic Ray Conference, Paris, Vol. 12, p. 155.
4. Axford, W. I., Leer, E. and Skadron, G. 1977 Acceleration of cosmic rays by shock waves. In: Proceedings of 15th International Cosmic Ray Conference. Plovdiv, Bulgaria. Vol. 11 (ed. Ch. Ya Christov, P. N. Markov and B. L. Betev). p. 132. Bulgarian Academy of Sciences.
5. Axford, W. I., Leer, E. and McKenzie, J. F. 1982 The structure of cosmic ray shocks. Astron. Astrophys. 111, 317.
6. Barnes, A. 1966 Collisionless damping of hydromagnetic waves. Phys. Fluids 9, 1483.
7. Barnes, A. 1979 Hydromagnetic waves and turbulence, in the solar wind. In: Solar System Plasma Physics, Vol. 1 (E. N. Parker, C. F. Kennel and L. J. Lanzerotti). p. 250. North-Holland, Amsterdam.
8. Begelman, M. C. and Zweibel, K. G. 1994 Acoustic instability driven by cosmic ray streaming. Astrophys. J. 431, 689.
9. Bell, A. R. 1978 The acceleration of cosmic rays in shock fronts, I. Mon. Not. R. Astron. Soc. 182, 147.
10. Berezhko, K. G. 1986 Instability in a shock passing through a gas with a cosmic ray pressure component. Soviet. Astron. Lett. 12, 352.
11. Berezinskii, V. S., Bulanov, S. V., Dogiel, V. A., Ginzburg, V. L. and Ptuskin, V. S. (eds) 1990 Astrophysics of Cosmic Rays. North-Holland, Amsterdam.
12. Blandford, R. D. and Ostriker, J. P. 1978 Particle acceleration by astrophysical shocks. Astrophys. J. Lett. 221, L29.
13. Chalov, S. V. 1988 Diffusive shock instability in plasma modified by cosmic rays. Soviet Astron. Lett. 14, 114.
14. Dolginov, A. Z. and Toptygin, I. N. 1967 Diffusion of cosmic particles in the interplanetary medium. Geomagn Aeron. 7, 785.
15. Donohue, D. J. and Zank, G. P. 1993 Steady state and dynamical structure of a cosmic ray modified termination shock. J. Geophys. Res. 98, 19005.
16. Dorfi, E. A. and Drury, L. O'C. 1985 A cosmic ray driven instability. In: Proceedings of 19th International Cosmic Ray Conference, La Jolla. CA. Vol. 3 (ed. F. C. Jones, J. Adams and G. M. Mason), p. 121, NASA Conf. Publ. 2376.
17. Drury, L. O'C. and Falle, S. A. E. G. 1986 On the stability of shocks modified by particle acceleration. Mon. Not. R. Astron. Soc. 223, 353.
18. Drury, L. O'C. and Völk, H. J. 1981 Hydromagnetic shock structure in the presence of cosmic rays. Astrophys. J. 248, 344.
19. Ellison, D. C. 1981 Monte Carlo simulations of charged particles upstream of the Earth's bow shock. Geophys. Res. Lett. 9, 991.
20. Ellison, D. C. 1985 Shock acceleration of diffuse ions at the Earth's bow shock: acceleration efficiency and A/Z enhancement. J. Geophys. Res. 90, 29.
21. Erdelyi, A., Magnus, W., Oberhettinger, F. and Tricomi, G. 1954 Tables of Integral Transforms. Vol. I, McGraw-Hill, New York.
22. Fisk, L. A., Goldstein, M. L., Klimas, A. J. and Sandri, G. 1974 The Fokker Planck coefficient for pitch angle scattering of cosmic rays. Astrophys. J. 190, 417.
23. Gleeson, L. J. and Axford, W. I. 1967 Cosmic rays in the interplanetary medium. Astrophys. J. Lett. 149, L115.
24. Heinemann, M. and Olbert, S. 1980 Non-WKB Alfvén waves in the solar wind. J. Geophys. Res. 85, 1311.
25. Hollweg, J. V. 1996 Non-WKB Alfvén waves in the solar wind: propagation and reflection of pulses. In: Solar Wind 8 (ed. D. Winterhalter, J. T. Gosling, S. R. Habbal, W. S. Kurth and M. Neugebauer). AIP Conf. Proc. 382, 327.
26. Jokipii, J. R. 1966 Cosmic ray propagation I. Charged particles in a random magnetic field. Astrophys. J. 146, 480.
27. Jokipii, J. R. 1971 Propagation of cosmic rays in the solar wind. Res. Geophys. Space Phys. 9, 27.
28. Jones, F. C. and Ellison, D. C. 1991 The plasma physics of shock acceleration. Space Sci. Rev., 58, 259.
29. Kang, H. and Jones, T. W. 1991 Numerical studies of particle acceleration in supernova remnants. Mon. Not. R. Astron. Soc., 249, 439-51.
30. Kang, H., Jones, T. W. and Ryu, D. 1992 Acoustic instability in cosmic ray mediated shocks. Astrophys. J., 385, 193.
31. Ko, C. M. and Jeng, A. T. 1994 Magnetohydrodynamic instability driven by cosmic rays. J. Plasma Phys. 52, 23.
32. Krymsky, G. P. 1964 Geomagn. Aeron. 4, 977.
33. Krymsky, G. K. 1977 Dokl. Akad. Nauk. SSSR 234, 1306.
34. Lerche, I. 1967, Unstable magnetosonic waves in a relativistic plasma. Astrophys. J. 147, 689.
35. McKenzie, J. F. and Westphal, K. O. 1968 Interaction of linear waves with oblique shock waves. Phys. Fluids 11, 2350.
36. McKenzie, J. F. and Westphal, K. O. 1969 Transmission of Alfvén waves through the Earth's bow shock. Planet. Space Sci. 17, 1029.
37. McKenzie, J. F. and Bornatici, M. 1974 Effect of sound waves. Alfvén waves, and heat flow on interplanetary shock waves. J. Geophys. Res., 79, 4589.
38. McKenzie, J. F. and Völk, H. J. 1982 Nonlinear theory of cosmic ray shocks including self generated Alfvén waves. Astron. Astrophys. 116, 191.
39. McKenzie, J. F. and Webb, G. M. 1984 Magnetohydrodynamic instability driven by Alfvén waves excited by cosmic rays. J. Plasma Phys. 31, 275.
40. Malkov, M. A. 1997 Analytic solution for nonlinear shock acceleration in the Bohm limit. Astrophys. J.. 485, 638.
41. Nayfeh, A. 1973 Perturbation Methods, Wiley, New York.
42. Parker, E. N. 1965 The passage of energetic charged particles through interplanetary space. Planet. Space. Sci. 13, 9.
43. Scholer, M. and Belcher, J. W. 1971 The effect of Alfven waves on MHD fast shocks. Solar Phys. 16, 472.
44. Skilling, J. A. 1975 Cosmic ray streaming - I. Effect of Alfvén waves on particles. Mon. Not. R. Astron. Soc. 172, 557.
45. Spangler, S. R., Fey, A. and Cordes, J. M. 1987 VLA and low frequency VLBI observations of the radio source 053+467: austere constraints on interstellar scattering in two media. Astrophys. J. 322, 909.
46. Volk, H. J., Drury, L. O'C. and McKenzie, J. F. 1984 Hydromagnetic estimates of cosmic ray acceleration efficiencies in shock waves, Astron. Astrophys. 130, 19.
47. Webb, G. M. 1989 On wave stability in relativistic cosmic ray hydrodynamics. Astrophys. J. 341, 767.
48. Webb, G. M., Brio, M., Zank, G. P. and Story, T. R. 1995 Contact and pressure balance structures in two-fluid cosmic ray hydrodynamics. Astrophys. J. 442, 822.
49. Webb, G. M., Brio, M., Zank, G. P. and Story, T. R. 1997a Wave - wave interactions in two-fluid cosmic-ray hydrodynamics. J. Plasma Phys. 57, 631.
50. Webb, G. M., Brio, M. and Zank, G. P. 1997b Short wavelength wave interactions in two fluid cosmic ray hydrodynamics and gas dynamics. In: Proceedings of 25th International Cosmic Ray Conference. Durban. RSA, Vol. 6 (ed. M. S. Potgieter, B. C. Raubenheimer and D. J. Van der Walt). p. 429.
51. Webb, G. M., Zakharian, A. and Zank, G. P. 1997c Short wavelength instabilities in cosmic ray modified shocks. In: Proceedings of 25th International Cosmic Ray Conference, Durban, RSA, Vol. 6 (ed. M. S. Potgieter. B. C. Raubenheimer and D. J. Van der Walt), p. 369.
52. Webb, G. M., Brio, M. and Zank, G. P. 1998 Lagrangian and Hamiltonian aspects of wave mixing in non-uniform media: waves on strings and waves in gas dynamics. J. Plasma Phys. 60, 341.
53. Webb, G. M., Zakharian, A., Brio, M. and Zank, G. P. 1999 Wave interactions in magnetohydrodynamics and cosmic-ray-modified shocks. J. Plasma Phys. 61, 295.
54. Zank, G. P. 1989 A cosmic ray driven plasma instability. J. Plasma Phys. 41, 89.
55. Zank, G. P. and McKenzie, J. F. 1987 Short wavelength compressive instabilities in cosmic ray shocks and heat conduction flows. J. Plasma Phys. 37, 347.
56. Zank, G. P., Axford, W. I. and McKenzie, J. F. 1990 Instabilities in energetic particle modified shocks. Astron. Astrophys. 233, 275.
57. Zhou, Y. and Matthaeus, W. H. 1990 Transport and turbulence modelling of solar wind fluctuations. J. Geophys. Res. 95, 10291.