A simple diffusion model showing anomalous scaling

Physics of Plasmas

Volumn 15, Issue 8, 2008, Pages

  Rowlands, G ^a   Sprott, J C ^b  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b University of Wisconsin Madison   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANOMALOUS SCALING; CHAOTIC BEHAVIORS; HIGHER-ORDER MOMENTS; ITERATED MAPS; TIME EVOLUTIONS;

EID: 50849122326     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2969429     Document Type: Article

References (14)

1. D. Sornette, Critical Phenomena in Science: Chaos, Fractals, Self-Organization and Disorder (Springer-Verlag, Berlin, 2000).
2. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics, 2nd ed. (Springer, New York, 1992).
3. B. Hnat, S. C. Chapman, and G. Rowlands, Phys. Rev. E 67, 056404 (2003).
4. U. Frisch and A. N. Kolmogorov, The Legacy of Turbulence (Cambridge University Press, Cambridge, 1995).
5. J. B. Weiss, Phys. Fluids A 3, 1379 (1991).
6. R. Thomas, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, 1889 (1999).
7. M. F. Shlesinger, G. M. Zaslavsky, and J. Klafter, Nature (London) 363, 363 (1993).
8. J. C. Sprott and K. E. Chlouverakis, Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, 2097 (2007).
9. T. Bohr, M. H. Jensen, G. Paladin, and A. Vulpiani, Dynamical Systems Approach to Turbulence (Cambridge University Press, Cambridge, 1998).
10. E. W. Montroll and M. F. Schlesinger, in Non Equilibrium Phenomena II from Stochastics to Hydrodynamics, edited by, J. L. Lebowitz, and, E. W. Montroll, (Elsevier, Amsterdam, 1984), pp. 1-121.
11. R. Ishizaki, T. Horita, T. Kobayashi, and H. Mori, Prog. Theor. Phys. 85, 1013 (1991).
12. T. M. Antonsen and E. Ott, Phys. Fluids 24, 1635 (1981).
13. A. N. Yannaopoulos and G. Rowlands, J. Phys. A 26, 6231 (1993).
14. A. N. Yannaopoulos and G. Rowlands, Physica D 76, 216 (1994).