Anomalous diffusion modifies solar neutrino fluxes

Physica A: Statistical Mechanics and its Applications

Volumn 261, Issue 3-4, 1998, Pages 359-373

  Kaniadakis, G ^a   Lavagno, A ^a   Lissia, M ^b,c   Quarati, P ^a,b  

^a POLITECNICO DI TORINO   (Italy)

^b SEZIONE DI CAGLIARI   (Italy)

^c UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

High energy tail; Maxwell distribution; Solar neutrino fluxes

Indexed keywords

COMPOSITION; ELECTRONS; FRICTION; IONS; MODIFICATION; TEMPERATURE;

HIGH ENERGY TAIL; MAXWELL DISTRIBUTION; SOLAR NEUTRINO FLUXES;

DIFFUSION;

EID: 0032299676     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(98)00399-9     Document Type: Article

References (94)

1. D.D. Clayton, Principles of Stellar Evolutions and Nucleosynthesis, The University of Chicago Press, Chicago, 1968.
2. J.N. Bahcall, Neutrino Astrophysics, Cambridge University Press, Cambridge, 1989.
3. J.N. Bahcall, M.H. Pinsonneault, Rev. Mod. Phys. 67 (1995) 781.
4. J.N. Bahcall, R. Davis Jr., P. Parker, A. Smirnov, R.K Ulrich (Eds.), Solar Neutrino: The First Thirty Years, Addison-Wesley, Reading, MA, 1995.
5. J.N. Bahcall, M.H. Pinsonneault, S. Basu, J. Christensen-Dalsgaard, Phys. Rev. Lett. 78 (1997) 171.
6. B. Ricci, V. Berezinsky, S. Degl'Innocenti, W.A. Dziembowski, G. Fiorentini, Phys. Lett. B 407 (1997) 155.
7. J.N. Bahcall, H.A. Bethe, Phys. Rev. Lett. 65 (1990) 2233.
8. M. White, L. Krauss, E. Gates, Phys. Rev. Lett. 70 (1993) 375.
9. V. Castellani, S. Degl'Innocenti, G. Fiorentini, Phys. Lett. B 303 (1993) 68.
10. N. Hata, S. Bludman, P. Langacker, Phys. Rev. D 49 (1994) 3622.
11. V. Castellani et al., Phys. Lett. B 324 (1994) 425.
12. J.N. Bahcall, Phys. Lett. B 338 (1994) 276.
13. S. Parke, Phys. Rev. Lett. 74 (1995) 839.
14. V. Berezinsky, G. Fiorentini, M. Lissia, Phys. Lett. B 185 (1996) 365.
15. V. Castellani et al., Phys. Rep. 281 (1997) 309.
16. M. Fukugita, Mod. Phys. Lett. A 6 (1991) 645.
17. C. Giunti, C.W. Kim, U.W. Lee, Phys. Rev. D 46 (1992) 3034.
18. GALLEX Collaboration, P. Anselmann et al., Phys. Lett. B 285 (1992) 390.
19. S.A. Bludman, N. Hata, D.C. Kennedy, P.G. Langaker, Phys. Rev. D 47 (1993) 2220.
20. N. Hata, P.G. Langaker, Phys. Rev. D 48 (1993) 2937.
21. P.I. Krastev, S.T. Petcov, Phys. Lett. B 299 (1993) 99.
22. S.M. Bilenkii, C. Giunti, Phys. Lett. B 320 (1994) 323.
23. G. Fiorentini et al., Phys. Rev. D 49 (1994) 6298.
24. S.M. Bilenkii, A. Bottino, C. Giunti, C.W. Kim, Phys. Lett. B 356 (1995) 273.
25. P.I. Krastev, S.T. Petcov, Phys. Rev. D 53 (1996) 1665.
26. P.I. Krastev, S.T. Petcov, Phys. Rev. D 54 (1996) 7057.
27. P.I. Krastev, S.T. Petcov, Phys. Lett. B 395 (1997) 69.
28. A. Dar, G. Shaviv, Astrophys. J. 468 (1996) 933. A. Dar, astro-ph/9707015.
29. L.M. Krauss, E. Gates, M. White, Phys. Lett. B 299 (1993) 94.
30. G.L. Fogli, E. Lisi, Astropart. Phys. 2 (1994) 91.
31. N. Hata, P. Langacker, Phys. Rev. D 50 (1994) 632.
32. G.L. Fogli, E. Lisi, Astropart. Phys. 3 (1995) 185.
33. J.N. Bahcall, P.I. Krastev, Phys. Rev. D 53 (1996) 4211.
34. G. Kocharov, loffe Inst. Rep. 298 (1972), Leningrad (in Russian).
35. S. Vasil'ev, G. Kocharov, A. Levkovskii, Izv. AN SSSR, Ser. Fiz. 38 (1974) 1827.
36. S. Vasil'ev, G. Kocharov, A. Levkovskii, Izv. AN SSSR, Ser. Fiz. 39 (1975) 310.
37. D.D. Clayton, Nature 249 (1974) 131.
38. D.D. Clayton, E. Eliahu, M.J. Newman, R.J. Talbot Jr., Astrophys. J. 199 (1995) 494.
39. R. Davis Jr., J.C. Evans, Proc. XIII Int. Conf. Cosmic Rays, Denver, 1973.
40. J.N. Bahcall, N.A. Bahcall, R.K. Ulrich, Astrophys. J. 156 (1969) 559.
41. H. Haubold, A.M. Mathai, Astrophys. Space Sci. 228 (1995) 77.
42. H. Haubold, A.M. Mathai, Astrophys. Space Sci. 228 (1995) 113.
43. G. Kaniadakis, A. Lavagno, P. Quarati, Phys. Lett. B 369 (1996) 308.
44. P. Quarati, A. Carbone, G. Gervino, G. Kaniadakis, A. Lavagno, E. Miraldi, Nucl. Phys. A 621 (1997) 345c.
45. M.N. Rosenbluth, W.M. MacDonald, D.L. Judd, Phys. Rev. 107 (1957) 1.
46. W.M. MacDonald, M.N. Rosenbluth, Phys. Rev. 107 (1957) 350.
47. M. Krook, T.T. Wu, Phys. Rev. Lett. 36 (1976) 1107.
48. C. Tsallis, J. Stat. Phys. 52 (1988) 479.
49. E.M.F. Curado, C. Tsallis, J. Phys. A 24 (1991) L69.
50. A.R. Plastino, A. Plastino, Phys. Lett. A 193 (1994) 251.
51. D.A. Stariolo, Phys. Lett. A 185 (1994) 262.
52. C. Tsallis, Physica A 221 (1995) 277.
53. A.R. Plastino, A. Plastino, Phys. Lett. A 174 (1993) 384.
54. C. Tsallis, F.C. Sa Barreto, E.D. Loh, Phys. Rev. E 52 (1995) 1447.
55. D. Zanette, P. Alemany, Phys. Rev. Lett. 75 (1995) 366.
56. C. Tsallis et al., Phys. Rev. Lett. 75 (1995) 3589.
57. C. Tsallis, D.J. Bukman, Phys. Rev. E 54 (1996) R2197.
58. B. Boghosian, Phys. Rev. E 53 (1996) 4754.
59. V.H. Hamity, D.E. Barraco, Phys. Rev. Lett. 76 (1996) 4664.
60. A.K. Rajagopal, Phys. Rev. Lett. 76 (1996) 3469.
61. U.M.S. Costa, M.L. Lyra, A.R. Plastino, C. Tsallis, Phys. Rev. E 56 (1997) 245.
62. D.F. Torres, H. Vucetich, A. Plastino, Phys. Rev. Lett. 79 (1997) 1588.
63. A. Lavagno, G. Kaniadakis, M. Rego-Monteiro, P. Quarati, C. Tsallis, Astrophys. Lett. Commun. 35 (1998) 449.
64. G. Kaniadakis, P. Quarati, Physica A 192 (1993) 677.
65. G. Kaniadakis, P. Quarati, Physica A 237 (1997) 299.
66. R. Muralidhar, D. Ramkrishna, H. Nakanishi, D. Jacobs, Physica A 167 (1990) 539.
67. K. G. Wang, Phys. Rev. A 45 (1992) 833.
68. K. Lande, in: K. Enqvist, K. Huitu, J. Maalampi (Eds.), Proc. of Neutrino 96, World Scientific, Singapore, 1996, p. 25.
69. Y. Fukuda et al., (Kamiokande Collaboration), Phys. Rev. Lett. 77 (1996) 1683.
70. K. Inoue (Super-Kamiokande Collaboration), preliminary result presented at Int. Workshop TAUP97, 7-11 September 1997, Laboratori Nazionali del Gran Sasso, Assergi, Italy.
71. GALLEX Collaboration, P. Anselmann et al., Phys. Lett. B 342 (1995) 440.
72. T. Kirsten et al. (GALLEX Collaboration), in: K. Huitu, K. Enqvist, J. Maalampi (Eds.), Neutrino 96, Proc. 17th Int. Conf. on Neutrino Physics and Astrophysics, Helsinki, Finland, 13-19 June 1996, edited by K. Enqvist, K. Huitu, J. Maalampi (World Scientific, Singapore, 1997) p. 3.
73. M. Criber and GALLEX Coll., Nucl. Phys. B (Proc. Suppl.) 70 (1999) 284.
74. V. Gavrin et al. (SAGE Collaboration), in: K. Huitu, K. Enqvist, J. Maalampi (Eds.), Neutrino 96, Proc. 17th Int. Conf. on Neutrino Physics and Astrophysics, Helsinki, Finland, 13-19 June 1996, edited by K. Enqvist, K. Huitu, J. Maalampi (World Scientific, Singapore, 1997) p. 14.
75. J.N. Bahcall, in: A. Olinto, J. Frieman, D. Schramm (Eds.), Proc. 18th Texas Symp. on Relativistic Astrophysics, 15-20 December 1996, Chicago, Illinois, World Scientific, Singapore, in press.
76. S. Chapman, T.G. Cowling, The Mathematical Theory of Non-Uniform Gases, Cambridge University Press, Cambridge, 1939.
77. L.D. Landau, E.M. Lifshitz, Statistical Physics, Part 1, Pergamon Press, Oxford, 1980.
78. K. Huang, Statistical Mechanics, 2nd ed., Wiley, New York, 1987.
79. R. Balescu, General Concepts of Statistical Mechanics, Krieger, Malabar, Florida, 1991.
80. L.E. Reichl, A Modern Course in Statistical Physics, University of Texas Press, Austin, 1980. 2nd ed., Wiley, New York, 1998.
81. J. Dorfman, E. Cohen, Phys. Rev. A 6 (1972) 776.
82. P. Chaichin, T. Lubensky, Principles of Condensed Matter Physics, Cambridge University Press, Cambridge, 1995.
83. C. Paquette, C. Pelletier, G. Fontaine, G. Michaud, Astrophys. J. Suppl. 61 (1986) 177.
84. A.N. Cox, J.A. Guzik, R.B. Kidman, Astrophys. J. 342 (1989) 1187 and refs. therein.
85. X. Huang, C. Driscoll, Phys. Rev. Lett. 72 (1994) 2187.
86. J. Liu, J. De Groot, J. Matte, T. Johnston, R. Drake, Phys. Rev. Lett. 72 (1994) 2717.
87. I. Koponen, Phys. Rev. E 55 (1997) 7759 and refs. therein.
88. V. Castellani et al., Phys. Rev. D 50 (1994) 4749.
89. S. Degl'Innocenti, G. Fiorentini, M. Lissia, Nucl. Phys. Proc. Suppl. 43 (1995) 66.
90. K.M. Heeger, R.G.H. Robertson, Phys. Rev. Lett. 77 (1996) 3720.
91. E.M.F. Curado, C. Tsallis, J. Phys. A 24 (1991) 3187(E).
92. E.M.F. Curado, C. Tsallis, J. Phys. A 25 (1992) 1019(E).
93. C. Tsallis et al., Phys. Rev. Lett. 77 (1996) 5442(E).
94. GALLEX Collaboration, P. Anselmann et al., Phys. Lett. B 361 (1996) 235(E).