Method for computing the three-dimensional capacity dimension from two-dimensional projections of fractal aggregates

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 1 1, 2004, Pages 114051-114058

  Maggi, F ^a   Winterwerp, J C ^a,b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b WL DELFT HYDRAULICS   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTALS; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR SYSTEMS; PROBABILITY; REACTION KINETICS;

FRACTAL AGGREGATES; MASS-DENSITY DISTRIBUTIONS;

AGGREGATES;

EID: 1842427315     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. J.C. Winterwerp, On the Dynamics of High-concentration Mud Suspensions, Ph.D. thesis (TUDelft Press, Delft, The Netherlands, 1999).
2. J.C. Winterwerp, Cont. Shelf Res. 22, 1339 (2002).
3. C. Kranenburg, Estuarine Coastal Shelf Sci. 39, 451 (1994).
4. D.J. Jeffrey, Adv. Colloid Interface Sci. 17, 213 (1982).
5. K. Higashitani and K. Iimura, J. Colloid Interface Sci. 204, 320 (1998).
6. M. Keipes, F. Ries, and M. Dicato, Biomed. Pharmacother. 47(9), 409 (1993).
7. P. Coleman and L. Pietronero, Phys. Rep. 213, 311 (1992).
8. R. Thieberger and E.A. Spiegel, Bull. Astron. Soc. India 30, 461 (2002).
9. H.G.E. Hentschel and I. Procaccia, Physica D 8, 435 (1983).
10. T. Vicsek, Fractal Growth Phenomena (World Scientific, Singapore, 1992).
11. J. Balatoni and A. Rènyi, Über den Begriff der Entropie, Arbeiten zur Informationstheorie I (Deutscher Verlag der Wissenschaften, Berlin, 1957), pp. 117-134.
12. C. Shannon, Bell Syst. Tech. J. 27, 379 (1948).
13. C. Shannon, Bell Syst. Tech. J. 27, 623 (1948).
14. H.G.E. Grassberger and I. Procaccia, Phys. Rev. Lett. 50, 346 (1983).
15. A. Chhabra and R.V. Jensen, Phys. Rev. Lett. 62, 1327 (1989).
16. M.H. Jensen, L.P. Kadanoff, and I. Procaccia, Phys. Rev. A 36, 1409 (1987).
17. T.C. Halsey, M.H. Jensen, L.P. Kadanoff, I. Procaccia, and B. Shraiman, Phys. Rev. A 33, 1141 (1986).
18. J. Argyris, G. Faust, and M. Haase, An Exploration of Chaos, edited by John Argyris, F.R.S. (North Holland, Amsterdam, 1994).
19. T.C. Halsey, P. Meakin, and I. Procaccia, Phys. Rev. Lett. 56, 854 (1986).
20. C. Amitrano and A. Coniglio, Phys. Rev. Lett. 57, 1016 (1986).
21. P. Meakin, Fractals, Scaling and Growth far from Equilibrium (Cambridge University Press, Cambridge, England, 1998).
22. L. Pietronero, Physica A 163, 316 (1990); 163, 324 (1990).
23. L. Pietronero, Physica A 163, 316 (1990); 163, 324 (1990).
24. F. Maggi, Delft University of Technology, Report No. 4-02, 2002.
25. B.R. Hunt and V.Y. Kaloshin, Nonlinearity 10, 1031 (1997).