Magnetic field generation from self-consistent collective neutrino-plasma interactions

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 4 B, 2000, Pages 4410-4421

  Brizard, A J ^a   Murayama, H ^a   Wurtele, J S ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MAGNETIC FIELDS; NEUTRONS; PLASMA DIAGNOSTICS; PLASMA INTERACTIONS; VARIATIONAL TECHNIQUES;

COVARIANT; IDEAL FLUIDS; LAGRANGIAN FORMALISM; MAGNETIC FIELD GENERATION; MAGNETIC HELICITY; PLASMA FLUIDS; VARIATIONAL PRINCIPLES;

MAGNETOPLASMA;

EID: 0000367636     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.61.4410     Document Type: Article

References (58)

1. E.W. Kolb and M.S. Turner, The Early Universe (Addison-Wesley, Redwood City, CA, 1990).
2. P.J.E. Peebles, Principles of Physical Cosmology (Princeton University Press, Princeton, NJ, 1993).
3. A primordial plasma is defined here as a quasineutral plasma composed of particles and antiparticles of the same family.
4. S.L. Shapiro and S.A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars (Wiley, New York, 1983), Chap. 18.
5. J. Cooperstein, L.J. van der Horn, and E.A. Baron, Astrophys. J. 309, 653 (1986).
6. J. Copperstein, Phys. Rep. 163, 95 (1988).
7. A.J. Brizard, Phys. Plasmas 5, 1110 (1998).
8. D.A. Dicus and W.W. Repko, Phys. Rev. Lett. 79, 569 (1997); D. Seckel, ibid. 80, 900 (1998); R. Shaisultanov, ibid. 80, 1586 (1998).
9. D.A. Dicus and W.W. Repko, Phys. Rev. Lett. 79, 569 (1997); D. Seckel, ibid. 80, 900 (1998); R. Shaisultanov, ibid. 80, 1586 (1998).
10. D.A. Dicus and W.W. Repko, Phys. Rev. Lett. 79, 569 (1997); D. Seckel, ibid. 80, 900 (1998); R. Shaisultanov, ibid. 80, 1586 (1998).
11. J.C. Taylor, Gauge Theories of Weak Interactions (Cambridge University Press, Cambridge, 1976), Chap. 8.
12. S. Weinberg, The Quantum Theory of Fields (Cambridge University Press, Cambridge, 1996), Vol. II, Sec. 21.3.
13. P.B. Pal and T.N. Pham, Phys. Rev. D 40, 259 (1989).
14. D. Notzold and G. Raffelt. Nucl. Phys. B 307, 924 (1988).
15. S. Esposito and G. Capone, Z. Phys. C 70, 55 (1996).
16. R. Bingham, H.A. Bethe, J.M. Dawson, P.K. Shukla, and J.J. Su, Phys. Lett. A 220, 107 (1996).
17. A.J. Brizard and J.S. Wurtele, Phys. Plasmas 6, 1323 (1999).
18. C.H. Lai and T. Tajima (unpublished). This work appears in T. Tajima and K. Shibata, Plasma Astrophysics (Addison-Wesley, Reading, MA, 1997), Sec. 5.4.
19. C.H. Lai and T. Tajima (unpublished). This work appears in T. Tajima and K. Shibata, Plasma Astrophysics (Addison-Wesley, Reading, MA, 1997), Sec. 5.4.
20. L.O. Silva, R. Bingham, J.M. Dawson, and W.B. Mori, Phys. Rev. E 59, 2273 (1999).
21. L.O. Silva, R. Bingham, J.M. Dawson, J.T. Mendonca, and P.K. Shukla, Phys. Rev. Lett. 83, 2703 (1999).
22. See, e.g., H. Nunokawa, V.B. Semikoz, A.Y. Smirnov, and J.W.F. Valle, Nucl. Phys. B 501, 17 (1997); J.M. Laming, Phys. Lett. A 255, 318 (1999).
23. See, e.g., H. Nunokawa, V.B. Semikoz, A.Y. Smirnov, and J.W.F. Valle, Nucl. Phys. B 501, 17 (1997); J.M. Laming, Phys. Lett. A 255, 318 (1999).
24. L. Wolfenstein, Phys. Rev. D 17, 2369 (1978).
25. H.A. Bethe, Phys. Rev. Lett. 56, 1305 (1986).
26. R. Bingham, R.A. Cairns, J.M. Dawson, R.O. Dendy, C.N. Lashmore-Davies, and V.N. Tsytovich, Phys. Lett. A 232, 257 (1997).
27. For a review, see A.B. Balantekin, Phys. Rep. 315, 123 (1999).
28. -4.
29. P. Meszaros, High-Energy Radiation From Magnetized Neutron Stars (University of Chicago Press, Chicago, 1992), Chap. 2.
30. L. Gorbunov, P. Mora, and T.M. Antonsen, Phys. Rev. Lett. 76, 2495 (1996); Phys. Plasmas 4, 4358 (1997).
31. L. Gorbunov, P. Mora, and T.M. Antonsen, Phys. Rev. Lett. 76, 2495 (1996); Phys. Plasmas 4, 4358 (1997).
32. M.G. Haines, Phys. Rev. Lett. 78, 254 (1997).
33. R.J. Mason and M. Tabak, Phys. Rev. Lett. 80, 524 (1998).
34. M. Borghesi, A.J. Mackinnon, R. Gaillard, O. Willi, A. Pukhov, and J. Meyer-ter-Vehn, Phys. Rev. Lett. 80, 5137 (1998).
35. P.K. Shukla, L. Stenflo, R. Bingham, H.A. Bethe, J.M. Dawson, and J.T. Mendonça, Phys. Lett. A 233, 181 (1997).
36. P.K. Shukla, R. Bingham, J.T. Mendonça, and L. Stenflo, Phys. Plasmas 5, 2815 (1998).
37. J.D. Brown, Class. Quantum Grav. 10, 1579 (1993).
38. A. Achterberg, Phys. Rev. A 28, 2449 (1983).
39. G.B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974), Sec. 11.7.
40. P.L. Similon, Phys. Lett. A 112, 33 (1985).
41. R. Mills, Am. J. Phys. 57, 493 (1989).
42. H. Goldstein, Classical Mechanics, 2nd ed. (Addison-Wesley, Reading, MA, 1980), Chap. 7, Sec. 8.
43. L. Brink, S. Deser, B. Zumino, P. Di Vecchia, and P. Howe, Phys. Lett. B 64, 435 (1976); S. Deser and B. Zumino, ibid. 65, 369 (1976).
44. L. Brink, S. Deser, B. Zumino, P. Di Vecchia, and P. Howe, Phys. Lett. B 64, 435 (1976); S. Deser and B. Zumino, ibid. 65, 369 (1976).
45. R.C. Tolman, Relativity, Thermodynamics and Cosmology (Oxford University Press, London, 1934), Chap. V, Pt II.
46. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972), Chap. 2, Sec. 10.
47. C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (Freeman, San Francisco, 1973), Chap. 22.
48. R.L. Seliger and G.B. Whitham, Proc. R. Soc. London, Ser. A 305, 1 (1968).
49. W.A. Newcomb, Nucl. Fusion Suppl. Part 2, 451 (1962).
50. 3/2[a(M:F)(F:F) -b(M·F):(F·F)], where a and b are constants and α is the fine structure constant.
51. M. Christensson and M. Hindmarsh, Phys. Rev. D 60, 063001 (1999).
52. J.M. Cornwall, Phys. Rev. D 56, 6146 (1997).
53. M. Giovannini, Phys. Rev. D 58, 124027 (1998).
54. R.M. Kulsrud, R. Cen, J.P. Ostriker, and D. Ryu, Astrophys. J. 480, 481 (1997).
55. F), the electromagnetic fields thus produced are much smaller than the first-order fields considered here.
56. H.K. Moffatt and R.L. Ricca, Proc. R. Soc. London, Ser. A 439, 411 (1992).
57. For more on Lie derivatives and applications of differential geometry, see R. Abraham, J.E. Marsden, and T. Ratiu, Manifolds, Tensor Analysis, and Applications (Addison-Wesley, Reading, MA, 1983), Chap. 6; or B.N. Kuvshinov and T.J. Schep, Phys. Plasmas 4, 537 (1997).
58. For more on Lie derivatives and applications of differential geometry, see R. Abraham, J.E. Marsden, and T. Ratiu, Manifolds, Tensor Analysis, and Applications (Addison-Wesley, Reading, MA, 1983), Chap. 6; or B.N. Kuvshinov and T.J. Schep, Phys. Plasmas 4, 537 (1997).