Nonlinear saturation of the Weibel instability in a dense Fermi plasma

Journal of Plasma Physics

Volumn 75, Issue 2, 2009, Pages 251-258

  Haas, F ^a,b   Shukla, P K ^a   Eliasson, B ^a,c  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b UNIVERSIDADE DO VALE DO RIO DOS SINOS   (Brazil)

^c UMEÅ UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

DENSE PLASMA; DENSITY PLASMA; DISPERSION RELATIONS; FERMI ENERGY; FERMI-DIRAC DISTRIBUTION; KINETIC SIMULATION; LINEAR DISPERSION RELATIONS; LINEAR GROWTH RATE; NONLINEAR SATURATION; QUANTUM PLASMAS; TEMPERATURE ANISOTROPY; TRANSVERSE WAVES; WEIBEL INSTABILITY;

ANISOTROPY; DISPERSION (WAVES); FERMIONS; MAGNETIC FIELDS; PLASMA STABILITY; PLASMAS; QUANTUM THEORY;

PLASMA DIAGNOSTICS;

EID: 69749106834     PISSN: 00223778     EISSN: 14697807     Source Type: Journal    
DOI: 10.1017/S0022377808007368     Document Type: Article

References (42)

1. Wildrow, L. W. 2002 Rev. Mod. Phys. 74, 775.
2. Kronberg, P. P. 2002 Phys. Today 55, 40.
3. Tatarakis, M. et al. 2002 Nature (London) 415, 280.
4. Wagner, U. et al. 2004 Phys. Rev. E 70, 026401.
5. Itoh, N., Mutoh, H., Hikita, A. and Kohyama, Y. 1992 Astrophys. J. 395, 622.
6. Romatschke, P. and Venugopalan, R. 2006 Phys. Rev. Lett. 96, 062302.
7. Biermann, P. 1950 Z. Naturforsch. A 5, 65.
8. Estabrook, K. 1978 Phys. Rev. Lett. 41, 1808.
9. Wei, M. S. et al. Phys. Rev. E 70, 056412.
10. Weibel, E. S. 1949 Phys. Rev. Lett. 2, 83.
11. Tzoufras, M., Ren, C., Tsung, F. S., Tonge, J. W., Mori, W. B., Fiore, M., Fonseca, R. A. and Silva, L. O. 2006 Phys. Rev. Lett. 96, 105002.
12. Malkin, V. M., Fisch, N. J. and Wurtele, J. S. 2007 Phys. Rev. E 75, 026404.
13. Manfredi, G. 2005 Fields Inst. Commun. 46, 263.
14. Gardner, C. L. and Ringhofer, C. 1996 Phys. Rev. E 53, 157.
15. Ang, L. K. and Zhang, P. K. 2007 Phys. Rev. Lett. 98, 164802.
16. Brodin, G. and Marklund, M. 2007 New J. Phys. 9, 277.
17. Marklund, M., Eliasson, B. and Shukla, P. K. 2007 Phys. Rev. E 76, 067401.
18. Brodin, G. and Marklund, M. 2006 Phys. Rev. E 76, 055403.
19. Marklund, M. and Brodin, G. 2007 Phys. Rev. Lett. 96, 025001.
20. Shukla, P. K. and Eliasson, B. 2006 Phys. Rev. Lett. 96, 245001.
21. Shaikh, D. and Shukla, P. K. 2007 Phys. Rev. Lett. 99, 125002.
22. Jovanovic, D. and Fedele, R. 2007 Phys. Lett. A 364, 304.
23. Bret, A. 2007 Phys. Plasmas 14, 084503.
24. Haas, F. 2008 Phys. Plasmas 15, 022104.
25. Haas, F. 2005 Phys. Plasmas 12, 062117.
26. Califano, F., Pegoraro, F., Bulanov, S. V. and Mangeney, A. 1998 Phys. Rev. E 57, 7048.
27. Pines, D. and Nozieres, P. The Theory of Quantum Liquids. New York: W. A. Benjamin, 1966.
28. Lindhard, J. and Dan, K. 1954 Vidensk. Selsk. Mat. Fys. Medd. 28, 1.
29. Cockayne, E. and Levine, Z. H. 2006 Phys. Rev. B 74, 235107.
30. Klimontovich, Yu. L. and Silin, V. P. 1961 Plasma Physics (ed. J. Drummond). New York: McGraw-Hill, and many references therein for the Wigner-Maxwell method for quantum plasmas.
31. Wigner, E. 1932 Phys. Rev. 40, 749.
32. Klimontovich, Yu. L. and Silin, V. P. 1952 Zh. Eksp. Teor. Fiz. 23, 151.
33. Abramowitz, M. and Stegun, I. A. (eds) 1972 Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables. New York: Dover.
34. Lewin, L. 1981 Polylogarithms and Associated Functions New York: North-Holland.
35. Ross, O. 1960 Phys. Rev. 119, 1174.
36. Arista, N. R. and Brandt, W. 1984 Phys. Rev. A 29, 1471.
37. Leemans, W. P., Clayton, C. E., Mori, W. B., Marsh, K. A., Kaw, P. K., Dyson, A., Joshi, C. and Wallace, J. M. 1992 Phys. Rev. A 46, 1091.
38. Fried, B. D. and Conte, S. D. 1961 The Plasma Dispersion Function. London: Academic Press.
39. Brandsen, B. H. and Jochain, C. J. 1989 Introduction to Quantum Mechanics. New York: John Wiley.
40. Krall, N. A. and Trivelpiece, A. W. 1973 Principles of Plasma Physics. New York: McGraw-Hill.
41. Davidson, R. C., Hammer, D. A., Haber, I. and Wagner, C. E. 1972 Phys. Fluids 15, 317.
42. Eliasson, B. 2007 J. Comput. Phys. 225, 1508.