Stochastic dynamics from the fractional Fokker-Planck-Kolmogorov equation: Large-scale behavior of the turbulent transport coefficient

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

Volumn 63, Issue 4, 2001, Pages

  Milovanov, Alexander V ^a  

^a Space Research Institute ^*  (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DIFFUSION; FRACTALS; HAMILTONIANS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; SPECTRUM ANALYSIS; TRANSPORT PROPERTIES;

FOKKER PLANK KOLMOGOROV (FPK) EQUATION;

DYNAMICS;

EID: 0035306023     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.047301     Document Type: Article

References (30)

1. G. M. Zaslavsky, in Topological Aspects and the Dynamics of Fluids and Plasmas, edited by H. K. Moffatt, G. M. Zaslavsky, P. Comte, and M. Tabor (Kluwer, Boston, 1992), p. 481.
2. G. M. Zaslavsky, Physica D 76, 110 (1994).
3. G. M. Zaslavsky, Stochasticity in Dynamical Systems (Nauka, Moscow, 1984);
4. G. M. Zaslavsky and R. Z. Sagdeev, Introduction to Nonlinear Physics. From Oscillator to Turbulence and Chaos (Nauka, Moscow, 1988).
5. G. M. Zaslavsky, Phys. Plasmas 7, 3691 (2000).
6. M. Shlesinger, Nature (London) 363, 31 (1993).
7. B. O’Shaughnessy and I. Procaccia, Phys. Rev. Lett. 54, 455 (1985);
8. B. O’ShaughnessyI. ProcacciaPhys. Rev. A 32, 3073 (1985).
9. M. Giona and H. E. Roman, J. Phys. A 185, 87 (1992).
10. J. Feder, Fractals (Plenum, New York, 1988).
11. B. B. Mandelbrot, The Fractal Geometry of Nature (W.H. Freeman, New York, 1983).
12. Y. Gefen, Phys. Rev. Lett. 50, 77 (1983).
13. M. B. Isichenko, Rev. Mod. Phys. 64, 961 (1992).
14. B. V. Chirikov, Chaos, Solitons, Fractals 1, 79 (1991).
15. V. Naulin, Phys. Plasmas 6, 4575 (1999).
16. A. V. Gruzinov, Zh. Éksp. Teor. Fiz. 97, 476 (1990) [Sov. Phys. JETP 70, 263 (1990)].
17. G. Zimbardo and P. Veltri, Phys. Rev. E 51, 1412 (1995);
18. G. Zimbardo, Phys. Plasmas 2, 2653 (1995);
19. Phys. PlasmasP. Pommois, 5, 1288 (1998).
20. J.-D. Reuss, Phys. Lett. A 241, 94 (1998).
21. G. Zimbardo, Phys. Rev. E 61, 1940 (2000).
22. P. Bak, Phys. Rev. Lett. 59, 381 (1987).
23. T. Chang, Phys. Plasmas 6, 4137 (1999).
24. A. V. Milovanov, J. Geophys. Res. (to be published).
25. A. V. Milovanov, Phys. Rev. E 62, 250 (2000).
26. A. V. Milovanov, Phys. Rev. E 56, 2437 (1997).
27. S. Alexander and R. L. Orbach, J. Phys. (France) Lett. 43, L625 (1982);
28. T. Nakayama, Rev. Mod. Phys. 66, 381 (1994).
29. B. A. Carreras, Phys. Rev. Lett. 80, 4438 (1998).
30. B. A. Carreras, Phys. Rev. Lett. 83, 3653 (1999).