Self-organized criticality with complex scaling exponents in the train model

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

Volumn 56, Issue 6, 1997, Pages R6225-R6228

  Elmer, Franz Josef ^a  

^a UNIVERSITY OF BASEL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013173113     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.R6225     Document Type: Article

References (10)

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2. For a review see, e.g., D. Sornette, Phys. Rep. (to be published).
3. M. de Sousa Vieira, Phys. Rev. A 46, 6288 (1992).PLRAAN
4. R. Burridge and L. Knopoff, Bull. Seismol. Soc. Am. 57, 341 (1967).BSSAAP
5. V. G. Benza, F. Nori, and O. Pla, Phys. Rev. E 48, 4095 (1993); PLEEE8
6. J. H. E. Cartwright, E. Hernández-García, and O. Piro, Phys. Rev. Lett. 79, 527 (1997); PRLTAO
7. F. J. Elmer, J. Phys. A 30, 6057 (1997).JPHAC5
8. There is no clear distinction between underdamped and overdamped motion because it depends on the wavelength of the sound waves. For (Formula presented) all sound waves are underdamped and for (Formula presented) all sound waves are overdamped.
9. The rightmost step occurs at (Formula presented) which does not fit into this power-of-two scheme.
10. That is, for (Formula presented) approximately below (above) (Formula presented) the cumulative densities do (not) oscillate.