Multiscaling in fragmentation

Physica D: Nonlinear Phenomena

Volumn 107, Issue 2-4, 1997, Pages 156-160

  Ben Naim, E ^a   Krapivsky, P L ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b Boston University   (United States)

Author keywords

Fragmentation; Mellin transform; Moments; Multiscaling; Size distribution

Indexed keywords

EID: 0343652344     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(97)00080-8     Document Type: Article

References (25)

1. T. Harris, The Theory of Branching Processes (Springer, Berlin, 1963).
2. S.K. Shrinivasan, Stochastic Theory and Cascade Processes (Elsevier, New York, 1969).
3. P. Habib, Soil Mechanics (Cambridge University Press, Cambridge, 1983).
4. M. Rao, S. Sengupta and H.K. Sahu, Phys. Rev. Lett. 75 (1995) 2164.
5. S. Redner, in: Statistical Models for the Fracture of Disorder Media, eds. H.J. Herrmann and S. Roux (North-Holland, Amsterdam, 1990).
6. E.W. Montroll and R. Simha, J. Chem. Phys. 8 (1940) 721.
7. B.B. Mandelbrot, J. Fluid Mech. 62 (1974) 331;
8. R. Benzi, G. Paladin, G. Parisi and A. Vulpiani, J. Phys. A 17 (1984) 3521.
9. B. Derrida and H. Flyvbjerg, J. Phys. A 20 (1987) 5273.
10. A. Charlesby, Proc. Roy. Soc. London Ser. A 224 (1954) 120.
11. R.M. Ziff and E.D. McGrady, J. Phys. A 18 (1985) 3027.
12. R.M. Ziff and E.D. McGrady, Macromolecules 19 (1986) 2513.
13. A.F. Filippov, Theory Prob. Appl. 6 (1991) 275;
14. E.D. McGrady and R.M. Ziff, Phys. Rev. Lett. 58 (1987) 892.
15. Z. Cheng and S. Redner, Phys. Rev. Lett. 60 (1988) 2450;
16. J. Phys. A 23 (1990) 1233.
17. M.H. Ernst and G. Szamel, J. Phys. A 26 (1993) 6085.
18. P.L. Krapivsky, J. Statist. Phys. 69 (1992) 125.
19. G. Tarjus and P. Viot, Phys. Rev. Lett. 67 (1991) 1875.
20. P.L. Krapivsky and E. Ben-Naim, Phys. Rev. E 50 (1994) 3502.
21. G.J. Rodgers and M.K. Hassan, Phys. Rev. E 50 (1994) 3459.
22. D. Boyer, G. Tarjus and P. Viot, Phys. Rev. E 51 (1995) 1043.
23. E. Ben-Naim and P.L. Krapivsky, Phys. Rev. Lett. 76 (1996) 3234.
24. P.L. Krapivsky and E. Ben-Naim, Phys. Lett. A 196 (1994) 168.
25. G.J. Rodgers and M.K. Hassan, Phys. Lett. A 208 (1995) 95.