Exactly soluble hierarchical clustering model: Inverse cascades, self-similarity, and scaling

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

Volumn 60, Issue 5, 1999, Pages 5293-5300

  Gabrielov, A ^a   Newman, W I ^b   Turcotte, D L ^c  

^a PURDUE UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c Department of Obstetrics Gynecology   (United States)

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ARTICLE;

EID: 0000897937     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.5293     Document Type: Article

References (23)

1. P. Bak, K. Chen, and C. Tang, Phys. Lett. A 147, 297 (1992)
2. B. Drossel and F. Schwabl, Phys. Rev. Lett. 69, 1629 (1992).
3. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. A 38, 364 (1988).
4. D.L. Turcotte, B.D. Malamud, G. Morein, and W.I. Newman, Physica A 268, 629 (1999).
5. M. Paczuski and P. Bak, Phys. Rev. E 48, R3214 (1993).
6. J.M. Carlson and J.S. Langer, Phys. Rev. A 406, 470 (1989).
7. J.K. Parrish and L. Edelstein-Keshet, Science 284, 99 (1999).
8. E. Bonabeau, L. Dagorn, and P. Freon, Proc. Natl. Acad. Sci. USA 96, 4472 (1999).
9. A.N. Strahler, Trans., Am. Geophys. Union 38, 913 (1957).
10. W.I. Newman and L. Knopoff, Int. J. Fract. 43, 19 (1990)
11. W.I. Newman and D.L. Turcotte, Geophys. J. 100, 433 (1990)
12. W.I. Newman and I. Wasserman, Astrophys. J. 354, 411 (1990).
13. G.I. Barenblatt and Ya.B. Zel’dovich, Russ. Math. Surv. 26, 45 (1971)
14. G.I. BarenblattYa.B. Zel’dovichAnnu. Rev. Fluid Mech. 4, 285 (1972)
15. G. I. Barenblatt, Scaling, Self-Similarity, and Intermediate Asymptotics (Cambridge Univ. Press, Cambridge, 1996).
16. R.E. Horton, Geol. Soc. Am. Bull. 56, 275 (1945).
17. E. Tokunaga, Geog. Rep. Tokyo Metro. Univ. 13, 1 (1978).
18. D.L. Turcotte, Phys. Earth Planet. Inter. 111, 275 (1999).
19. J.D. Pelletier, B.D. Malamud, T. Blodgett, and D.L. Turcotte, Eng. Geol. 48, 255 (1997).
20. B.D. Malamud, G. Morein, and D.L. Turcotte, Science 281, 1840 (1998).
21. J.D. Peckham, Water Resour. Res. 31, 1023 (1995).
22. P. Ossadnik, Phys. Rev. A 45, 1058 (1992).
23. D.L. Turcotte, J.D. Pelletier, and W.I. Newman, J. Theor. Biol. 193, 577 (1998).