Generalized randomly amplified linear system driven by Gaussian noises: Extreme heavy tail and algebraic correlation decay in plasma turbulence

Physical Review Letters

Volumn 92, Issue 12, 2004, Pages

  Steinbrecher, György ^a   Weyssow, B ^b  

^a UNIVERSITY OF CRAIOVA   (Romania)

^b UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BROWNIAN MOVEMENT; COMPUTER SIMULATION; DAMPING; DIFFUSION; GAUSSIAN NOISE (ELECTRONIC); LINEAR SYSTEMS; MAGNETOPLASMA; NEUTRONS; PERTURBATION TECHNIQUES;

ERGODICITY; FRACTIONAL BROWNIAN MOTION (FBM); LANGEVIN EQUATIONS; SELF-ORGANIZED CRITICALITY (SOC);

PLASMA TURBULENCE;

EID: 2342652782     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.92.125003     Document Type: Article

References (21)

1. R. Trasarti-Battistoni, D. Draghi, C. Riccardi, and H. E. Roman, Phys. Plasmas 9, 3369 (2002).
2. B. A. Carreras et al., Phys. Rev. Lett. 83, 3653 (1999).
3. T. L. Rhodes et al., Phys. Lett. A 253, 181 (1999).
4. E. Spada et al., Phys. Rev. Lett. 86, 3032 (2001).
5. V. Antoni et al., Phys. Rev. Lett. 87, 045001 (2001).
6. G. Boffetta et al., Phys. Rev. Lett. 83, 4662 (1999).
7. M. P. Freeman, N. W. Watkins, and D. J. Riley, Phys. Rev. E 62, 8794 (2000).
8. V. Carbone et al., Europhys. Lett. 58, 349 (2002).
9. H. Takayasu, A.-H. Sato, and M. Takayasu, Phys. Rev. Lett. 79, 966 (1997).
10. N. Fuchikami, Phys. Rev. E 60, 1060 (1999).
11. A-H. Sato, H. Takayasu, and Y. Sawada, Phys. Rev. E 61, 1081 (2000).
12. K. Falconer, Techniques in Fractal Geometry (Wiley, New York, 1997).
13. Tian-You Hu and Ka-Sing Lau, Adv. Appl. Math. 27, 1 (2001).
14. Hui Rao and Zhi-Ying Wen, Adv. Appl. Math. 20, 50 (1998).
15. B. Øksenfeld, Stochastic Differential Equations (Springer-Verlag, Berlin, 1998).
16. T. G. Gard, Introduction to Stochastic Differential Equations (Marcel Dekker, New York, 1988).
17. H. Lebesgue, Leçons sur l'Intégration et la Recherche des Functions Primitives (Chelsea, New York, 1973), 3rd ed.
18. E. C. Zachmanoglou and Dale W. Thoe, Introduction to Partial Differential Equations with Applications (Dover, New York, 1986).
19. P. Embrechts and M. Maejima, Selfsimilar processes, Princeton Series in Applied Mathematics (Princeton University Press, Princeton, 2002).
20. T. Mikosch and C. Norvaiša, Bernoulli 6, 401 (2000).
21. Ya. G. Sinai, Russian Math. Surv. 52, 359 (1997).