Self-similar transport processes in a two-dimensional realization of multiscale magnetic field turbulence

Physica Scripta T

Volumn T122, Issue , 2006, Pages 79-88

  Chiaravalloti, Francesco ^a   Milovanov, Alexander V ^b,d   Zimbardo, Gaetano ^a,c  

^a UNIVERSITY OF CALABRIA   (Italy)

^b UNIVERSITY OF TROMSØ   (Norway)

^c INFM   (Italy)

^d Russian Academy of Sciences   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CHARGED PARTICLES; COMPUTER SIMULATION; HAMILTONIANS; MAGNETIC FIELDS; PERTURBATION TECHNIQUES; TRANSPORT PROPERTIES;

FRACTAL LATTICE; LEVY-WALK STATISTICS; MICROSCOPIC STRUCTURE; PARTICLE MOTION;

PLASMA TURBULENCE;

EID: 42349107300     PISSN: 02811847     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1088/0031-8949/2006/T122/012     Document Type: Conference Paper

References (67)

1. Tetreault D 1992 J. Geophys. Res. 97 8541
2. Rypdal K, Paulsen J-V, Garcia Å E, Ratynskaya S and Demidov V 2003 Nonlinear Proc. Geophys. 10 139
3. Treumann R A 1999 Phys. Scr. 59 19
4. Treumann R A 1999 Phys. Scr. 59 204
5. Milovanov A V and Zelenyi L M 2002 Adv. Space Res. 30 2667
6. Montroll E W and Shlesinger M F 1984 Studies in Statistical Mechanics vol 11 ed J Lebowitz and E W Montroll (North-Holland: Amsterdam) p 1
7. Klafter J, Shlesinger M F and Zumofen G 1996 Phys. Today 49 33
8. Zimbardo G, Veltri P, Basile G and Principato S 1995 Phys. Plasmas 2 2653
9. Pommois P, Zimbardo G and Veltri P 1998 Phys. Plasmas 5 1288
10. Denisov S, Klafter J and Urbakh M 2004 Physica D 187 89
11. Hughes B D, Montroll E W and Shlesinger M F 1982 J. Stat. Phys. 28 111
12. Scher H, Shlesinger M F and Bendler J T 1991 Phys. Today 44 26
13. Mandelbrot B B and Van Ness J W 1968 SIAM Rev. 10 422
14. Feder J 1988 Fractals (New York: Plenum)
15. Klafter J, Blumen A and Shlesinger M F 1987 Phys. Rev. A 35 3081
16. Luedtke W D and Landman U 1999 Phys. Rev. Lett. 82 3835
17. Zaslavsky G M 1995 Chaos 5 653
18. Sokolov I M, Klafter J and Blumen A 2002 Phys. Today 55 48
19. Shlesinger M F, Zaslavsky G M and Klafter J 1993 Nature 363 31
20. Metzler R and Klafter J 2000 Phys. Rep. 339 1
21. Zaslavsky G M 2002 Phys. Rep. 371 461
22. Gefen Y, Aharony A and Alexander S 1983 Phys. Rev. Lett. 50 77
23. Zaslavsky G M and Sagdeev R Z 1998 Introduction to Nonlinear Physics. From Oscillator to Turbulence and Chaos (Moscow: Nauka)
24. O'Shaughnessy B and Procaccia I 1985 Phys. Rev. Lett. 54 455
25. O'Shaughnessy B and Procaccia I 1985 Phys. Rev. A 32 3073
26. Milovanov A V and Zimbardo G 2000 Phys. Rev. E 62 250
27. Zelenyi L M and Milovanov A V 2004 Phys.-Usp. 47 749 (Engl. Transl.)
28. Zelenyi L M and Milovanov A V 2004 Usp. Fiz. Nauk 174 809
29. Nakayama T, Yakubo K and Orbach R L 1994 Rev. Mod. Phys. 66 381
30. Bouchaud J-P and Georges A 1990 Phys. Rep. 195 12
31. Viecelli J 1993 Phys. Fluids A 5 2484
32. Solomon T, Weeks E and Swinney H 1993 Phys. Rev. Lett. 71 3975
33. Elhmaidi D, Provenzale A and Babiano A 1993 J. Fluid Mech. 257 553
34. Provenzale A 1999 Annu. Rev. Fluid Mech. 31 55
35. Nielsen A H, Pecseli H L and Rasmussen J J 1996 Phys. Plasmas 3 1530
36. Naulin V, Nielsen A H and Rasmussen J J 1999 Phys. Plasmas 6 4575
37. Leoncini X and Zaslavsky G M 2002 Phys. Rev. E 65 046216
38. Caracciolo S, Causo M S, Grassberger P and Pelissetto A 1999 J. Phys. A: Math. Gen. 32 2931
39. Milovanov A V and Rasmussen J J 2001 Phys. Rev. B 64 212203
40. Zimbardo G 2003 Commun. Nonlinear Sci. Numer. Simul. 8 443
41. Zaslavsky G M et al 2000 Phys. Plasmas 7 3691
42. Carreras B A et al 1998 Phys. Rev. Lett. 80 4438
43. Carreras B A et al 1999 Phys. Rev. Lett. 83 3653
44. Carreras B A, Lynch V E and LaBombard B 2001 Phys. Plasmas 8 3702
45. Milovanov A V and Zelenyi L M 1993 Phys. Fluids B 5 2609
46. Milovanov A V and Zelenyi L M 1995 Physics of the Magnetopause (Geophysical Monograph no. 90) ed P Song, B U O Sonnerup and M F Thomsen (Washington, DC: American Geophysical Union) p 357
47. Greco A et al 2003 J. Geophys. Res. 108 1395
48. Milovanov A V, Zelenyi L M and Zimbardo G 1996 J. Geophys. Res. 101 19903
49. Zimbardo G, Greco A and Veltri P 2000 Phys. Plasmas 7 1071
50. Milovanov A V, Zelenyi L M, Zimbardo G and Veltri P 2001 J. Geophys. Res. 106 6291
51. Chu C, Chu M-S and Ohkawa T 1978 Phys. Rev. Lett. 41 653
52. Taylor J B and McNamara B 1971 Phys. Fluids 14 1492
53. Ginzburg V L and Ruhadze A A 1972 Handbuch der Physik vol XLIX ed S Flugge (Berlin: Springer) p 459
54. Hoshino M, Nishida A, Yamamoto T and Kokubun S 1994 Geophys. Res. Lett. 21 2935
55. Hoshino M et al 1996 J. Geomag. Geoelectr. 48 515
56. Isichenko M B 1992 Rev. Mod. Phys. 64 961
57. Naulin V, Garcia Å E, Nielsen A H and Rasmussen J J 2004 Phys. Lett. A 321 355
58. Krall N A and Trivelpiece A W 1973 Principles of Plasma Physics (New York: McGraw-Hill)
59. Brissaud A and Frisch U 1974 J. Math. Phys. 15 524
60. Milovanov A V 2001 Phys. Rev. E 63 047301
61. Reuss J-D and Misguich J H 1996 Phys. Rev. E 54 1857
62. Stauffer D and Aharony A 1992 Introduction to Percolation Theory (London: Taylor and Francis)
63. Alexander S and Orbach R L 1982 J. Phys. Lett. (France) 43 L625
64. Milovanov A V 1997 Phys. Rev. E 56 2437
65. Milovanov A V and Rasmussen J J 2002 Phys. Rev. B 66 134505
66. Schroeder M 1991 Fractals, Chaos, Power Laws (New York: Freeman)
67. Boltyanskyi V G and Efremovich V A 1983 Descriptive Topology (Moscow: Nauka)