Diffusion-limited aggregation: A revised mean-field approach

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

Volumn 61, Issue 5, 2000, Pages 5422-5428

  Bogoyavlenskiy, Vladislav A ^a   Chernova, Natasha A ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS;

CIRCULAR SOURCES; DIFFUSION LIMITED AGGREGATION; DIFFUSIONAL GROWTH; LATTICE ANISOTROPY; MEAN FIELD APPROACH; MEAN-FIELD CALCULATIONS; MEAN-FIELD EQUATIONS; SCALING BEHAVIOR;

AGGLOMERATION;

EID: 0000571230     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.5422     Document Type: Article

References (25)

1. T.A. Witten and L.M. Sander, Phys. Rev. Lett. 47, 1400 (1981)
2. T.A. WittenL.M. SanderPhys. Rev. B 27, 5686 (1983).
3. J. Nittmann, G. Daccord, and H.E. Stanley, Nature (London) 314, 141 (1985).
4. C. Tang, Phys. Rev. A 31, 1977 (1985).
5. J. Kertész and T. Vicsek, J. Phys. A 19, L257 (1986).
6. H.E. Stanley and P. Meakin, Nature (London) 335, 405 (1988).
7. T. Aukrust, M.A. Novotny, D.A. Browne, and K. Kaski, Phys. Rev. A 39, 2587 (1989).
8. J.-P. Eckmann, P. Meakin, I. Procaccia, and R. Zeitak, Phys. Rev. B 39, 3185 (1989)
9. J.-P. EckmannP. MeakinI. ProcacciaR. ZeitakPhys. Rev. Lett. 65, 52 (1990).
10. R. Cafiero, L. Pietronero, and A. Vespignani, Phys. Rev. Lett. 70, 3939 (1993).
11. T.C. Halsey, Phys. Rev. Lett. 72, 1228 (1994)
12. T.C. HalseyEurophys. Lett. 39, 43 (1997).
13. B.K. Johnson and R.F. Sekerka, Phys. Rev. E 52, 6404 (1995).
14. B.B. Mandelbrot, H. Kaufman, A. Vespignani, I. Yekutieli, and C.-H. Lam, Europhys. Lett. 29, 599 (1995).
15. H. Thome, M. Rabaud, V. Hakim, and Y. Couder, Phys. Fluids A 1, 224 (1989).
16. E. Brener, H. Levine, and Y. Tu, Phys. Rev. Lett. 66, 1978 (1991).
17. H. Levine and Y. Tu, Phys. Rev. A 45, 1053 (1992).
18. Y. Tu, H. Levine, and D. Ridgway, Phys. Rev. Lett. 71, 3838 (1993).
19. A. Arneodo, J. Elezgaray, M. Tabard, and F. Tallet, Phys. Rev. E 53, 6200 (1996).
20. S. Sandow and S. Trimper, Europhys. Lett. 21, 799 (1993).
21. Y. Tu and H. Levine, Phys. Rev. E 48, R4207 (1993).
22. G.P. Ivantsov, Dokl. Akad. Nauk SSSR 58, 567 (1947).
23. K. Kassner and E. Brener, Phys. Rev. E 50, 2161 (1994).
24. T. Vicsek, Fractal Growth Phenomena, 2nd ed. (World Scientific, Singapore, 1992).
25. J.P. Gollub and J.S. Langer, Rev. Mod. Phys. 71, S396 (1999).