Branch distribution in diffusion-limited aggregation: A maximum entropy approach

Physica A: Statistical Mechanics and its Applications

Volumn 224, Issue 3-4, 1996, Pages 463-479

  Pastor Satorras, R ^a   Wagensberg, J ^b  

^a UNIVERSITY OF BARCELONA   (Spain)

^b Museu Cie de la Fundacio la Caixa ^*  (Spain)

Author keywords

Branch distribution; DLA; Maximum entropy

Indexed keywords

EID: 0007886153     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/0378-4371(95)00371-1     Document Type: Article

References (31)

1. B.B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1982).
2. J. Feder, Fractals (Plenum, New York, 1988).
3. T. Vicsek, Fractal Growth Phenomena, 2nd Ed. (World Scientific, Singapore, 1992).
4. T.A. Witten and L.M. Sander, Phys. Rev. Lett. 47 (1981) 1400; Phys. Rev. B 27 (1983) 5686.
5. T.A. Witten and L.M. Sander, Phys. Rev. Lett. 47 (1981) 1400; Phys. Rev. B 27 (1983) 5686.
6. P. Meakin, Phys. Rev. A 27 (1983) 1495.
7. S. Tolman and P. Meakin, Phys. Rev. A 40 (1989) 428.
8. L. Pietronero, A. Erzan and C. Everstz, Phys. Rev. Lett. 61 (1988) 861.
9. P. Barker and R.C. Ball, Phys. Rev. A 42 (1990) 6289.
10. T. Nagatani, Phys. Rev. A 36 (1987) 5812; J. Phys. A 20 (1987) L381.
11. T. Nagatani, Phys. Rev. A 36 (1987) 5812; J. Phys. A 20 (1987) L381.
12. M. Muthukumar, Phys. Rev. Lett. 50 (1983) 839.
13. B. Derrida, V. Hakim and J. Vannimenus, Phys. Rev. A 43 (1991) 888.
14. T.C. Halsey and M. Leibig, Phys. Rev. A 46 (1992) 7793.
15. T.C. Halsey, Phys. Rev. Lett. 72 (1994) 1228.
16. E.L. Hinrichsen, K.J. Måløy, J. Feder and T. Jøssang, J. Phys. A 22 (1989) L271.
17. J. Vannimenus and X.G. Vienot, J. Stat. Phys. 54 (1989) 1529.
18. P Ossadnik, Phys. Rev. A 45 (1992) 1058.
19. R.E. Horton, Bul. Geol. Soc. Am. 56 (1945) 275.
20. A.N. Strahler, Trans. Am. Geophys. Union 38 (1957) 913.
21. I. Yekutieli, B.B. Mandelbrot and H. Kaufman, J. Phys. A 27 (1994) 275.
22. E.T. Jaynes, Phys. Rev. 106 (1957) 620.
23. B.B. Mandelbrot and T. Vicsek, J. Phys. A 22 (1989) L377.
24. T. Vicsek, Phys. Rev. Lett. 59 (1987) 2067.
25. P. Alstrøm, P.A. Trunfio and H.E. Stanley, Phys. Rev. A 41 (1990) 3402.
26. C.E. Shannon, Bell System Tech. J. 27 (1948) 379, 623.
27. S.L. Marple Jr., Digital Spectral Analysis (Prentice Hall, Englewood Cliffs, 1987).
28. J. Wagensberg, A. García and R.V. Solé, Energy-flow Networks and the Maximum Entropy Formalism, in Maximum Entropy and Bayesian Methods, eds. W.T. Grandy and L.H. Schick (Kluwer, Dordrecht, 1990).
29. J. Wagensberg and R. Pastor, Entropy of Form and Hierarchic Organization, in Maximum Entropy and Bayesian Methods, eds. C.R. Smith et al. (Kluwer, Dordrecht, 1992).
30. G. Chaitin, Scientific American 232 (5) (1975) 47.
31. M.F. Barnsley, Fractals Everywhere (Academic Press, San Diego, 1988).