Multifractal phenomena in physics and chemistry

Nature

Volumn 335, Issue 6189, 1988, Pages 405-409

  Stanley, H Eugene ^a   Meakin, Paul ^b  

^a BOSTON UNIVERSITY   (United States)

^b DUPONT COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748455620     PISSN: 00280836     EISSN: None     Source Type: Journal    
DOI: 10.1038/335405a0     Document Type: Review

References (86)

1. Mandelbrot, B. B. The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
2. Family, F. & Landau, D. P. (eds) Kinetics of Aggregation and Gelation (Elsevier, Amsterdam, 1984).
3. Stanley, H. E. & Ostrowsky, N. (eds) On Growth and Form: Fractal and Non-Fractal Patterns in Physics (Nijhoff, Dordrecht, 1985).
4. Boccara, N. & Daoud, M. (eds) Physics of Finely Divided Matter (Springer, Heidelberg, 1985).
5. Pynn, R. & Skjeltorp, A. (eds) Scaling Phenomena in Disordered Systems (Plenum, New York, 1986).
6. Pietronero, L. & Tosatti, E. (eds) Fractals in Physics (North-Holland, Amsterdam, 1986).
7. Stanley, H. E. Introduction to Fractal Phenomena (Oxford University Press, in the press).
8. Meakin, P. CRC Critical Rev. in Solid State and Materials Sciences 13, 143-189 (1987).
9. Witten, T. A. & Sander, L. M. Phys. Rev. Lett. 47, 1400-1403 (1981)
10. Witten, T. A. & Sander, L. M. Phys. Rev. B 27, 5686-5697 (1983).
11. Sander, L. M. Nature 332, 789-793 (1986)
12. Sander, L. M. Scient. Am. 256, 94-100 (1986).
13. Brady, R. M. & Ball, R. C. Nature 309, 225-229 (1984).
14. Matsushita, M., Sano, M., Hakayawa, Y., Honjo, H. & Sawada, Y. Phys. Rev. Lett. 53, 286-289 (1984).
15. Elam, W. T. et al. Phys. Rev. Lett. 54, 701 (1985).
16. Ben-Jacob, E. et al. Phys. Rev. Lett. 55, 1315-1318 (1985).
17. Buka, A., Kertèsz, J. & Vicsek, T. Nature 323, 424-425 (1986).
18. Couder, Y., Cardoso, O., Dupuy, D., Tavernier, P. & Thom, W. Europhys. Lett. 2, 437-443 (1986).
19. Nittmann, J. N. & Stanley, H. E. Nature 321, 663-668 (1986).
20. Niemeyer, L., Pietronero, L. & Wiesmann, H. J. Phys. Rev. Lett. 52, 1033-1036 (1984).
21. Pietronero, L. & Wiesmann, H. J. J. statist. Phys. 36, 909-916 (1984).
22. Nittemann, J., Daccord, G. & Stanley, H. E. Nature 314, 141-144 (1985).
23. Daccord, G., Nittmann, J. & Stanley, H. E. Phys. Rev. Lett. 56, 336-339 (1986).
24. Chen, J. D. & Wilkinson, D. Phys. Rev. Lett. 55, 1892-1895 (1985).
25. Måløy, K. J., Feder, J. & Jøssang, T. Phys. Rev. Lett. 55, 2688-2691 (1985).
26. Van Damme, H., Obrecht, F., Levitz, P., Gatineau, L. & Laroche, C. Nature 320, 731-733 (1986).
27. Daccord, G. Phys. Rev. Lett. 58, 479-482 (1987).
28. Daccord, G. & Lenormand, R. Nature 325, 41-43 (1987).
29. Meakin, P., Coniglio, A., Stanley, H. E. & Witten, T. A. Phys. Rev. A 34, 3325-3340 (1986).
30. Stanley, H. E. Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, 1971).
31. Meakin, P., Stanley, H. E., Coniglio A. & Witten, T. A. Phys. Rev. A 32, 2364-2369 (1985).
32. Halsey, T. C., Meakin, P. & Procaccia, I. Phys. Rev. Lett. 56, 854-857 (1986).
33. Amitrano, C., Coniglio, A. & di Liberto, F. Phys. Rev. Lett. 57, 1016-1019 (1987).
34. Nittmann, J., Stanley, H. E., Touboul, E. & Daccord, G. Phys. Rev. Lett. 58, 619 (1987).
35. Jensen, M. H., Kadanoff, L. P., Libchaber, A., Procaccia, I. & Stavans, J. Phys. Rev. Lett. 55, 2798-2801 (1985).
36. Coniglio, A. in On Growth and Form: Fractal and Non-Fractal Patterns in Physics (eds Stanley, H. E. & Ostrowsky, N.) 101 (Nijhoff, Doredrecht, 1985).
37. Halsey, T. C., Jensen, M. H., Kadanoff, L. P., Procaccia, I. & Shraiman, B. Phys. Rev. A 33, 1141-1151 (1986).
38. Coniglio, A. in Fractals in Physics (eds Pietronero, L. & Tosatti, E.) (North-Holland, Amsterdam, 1986).
39. Coniglio, A. Physica A 140, 51-61 (1986).
40. Meakin, P. Phys. Rev. A 34, 710-713 (1986).
41. Grassberger, P. & Procaccia, I. Physica 13D, 34-54 (1984).
42. Grassberger, P. Phys. Lett. 107A, 101-105 (1985).
43. Benzi, R., Paladin, G., Parisi, G. & Vulpiani, A. J. Phys. A 17, 3521-3531 (1984)
44. Benzi, R., Paladin, G., Parisi, G. & Vulpiani, A. J. Phys. A 18, 2157-2165 (1985).
45. Badii, R. & Politi, A. J. statist. Phys. 40, 725-750 (1985).
46. Stauffer, D. Introduction to Percolation Theory (Taylor and Francis, Philadelphia, 1985).
47. Rammal, R., Tannous, C., Breton, P. & Tremblay, A. M. S. Phys. Rev. Lett. 54, 1718-1721 (1985).
48. de Arcangelis, L., Redner, S. & Coniglio, A. Phys. Rev. B 31, 4725-4727 (1985)
49. de Arcangelis, L., Redner, S. & Coniglio, A. Phys. Rev. B 34, 4656-4673 (1986).
50. Rammal, R., Tannous, C. & Tremblay, A. M. S. Phys. Rev. A 31, 2662-2671 (1985).
51. Rammal, R. J. Phys., Paris 46, L129 (1985)
52. Rammal, R. Phys. Rev. Lett. 55, 1428 (1985).
53. Meir, Y., Blumenfeld, R., Aharony, A. & Harris, A. B. Phys. Rev. B 34, 3424-3428 (1986).
54. Blumenfeld, R., Meir, Y., Harris, A. B. & Aharony, A. J. Phys. A 19, L791-L796 (1986).
55. Blumenfeld, R., Meir, Y., Aharony, A. & Harris, A. B. Phys. Rev. B 35, 3524-3535 (1987).
56. Meir, Y. & Aharony, A. Phys. Rev. A 37, 596-600 (1988).
57. Rammal, R. & Tremblay, A.-M. S. Phys. Rev. Lett. 58, 415-418 (1987).
58. Fourcade, B., Breton, P. & Tremblay, A.-M. S. Phys. Rev. Lett. (in the press).
59. Stanley, H. E. J. Phys. A 10, L211-L220 (1977).
60. Coniglio, A. Phys. Rev. Lett. 46, 250-253 (1981).
61. Coniglio, A. J. Phys. A 15, 3829-2844 (1981).
62. Pike, R. & Stanley, H. E. J. Phys. A 14, L169-L177 (1981).
63. Herrmann, H. J. & Stanley, H. E. Phys. Rev. Lett. 53, 1121-1124 (1984).
64. Alstrøm, P. in Time-Dependent Effects in Disordered Materials (eds Pynn, R. & Riste, T.) 185-193 (Plenum, New York, 1987)
65. Alstrøm, P. Phys. Rev. A37, 1378-1380 (1988)
66. Alstrøm, P. Phys. Rev. A 36, 827-833 (1987).
67. Frisch, U., Sulem, P. & Nelkin, M. J. Fluid Mech. 87, 719-736 (1978).
68. Meakin, P. Phys. Rev. A 36, 2833-2837
69. Meakin, P. J. Phys. A 20, L779-L784 (1987).
70. Lovejoy, S. & Schertzer, D. Bull. Am. met. Soc. 67, 221 (1986).
71. Lovejoy, S., Schertzer, D. & Tsonis, A. A. Science 231, 1036-1038 (1987).
72. Schertzer, D. & Lovejoy, S. in IUTAM Symposium on Turbulence and Chaotic Phenomena in Fluids, Kyoto, Japan 141-144 (1983).
73. Mandelbrot, B. B. J. Fluid Mech. 62, 331-358 (1974).
74. Mandelbrot, B. B. in Proc. 13th IUPAP Conference on Statistical Physics (eds Cabib, E., Kuper, C. G. & Reiss, L.) (Hilger, Bristol, 1978).
75. Grassberger, P. Phys. Lett. A 97, 277-230 (1983).
76. Hentschel, H. G. E. & Procaccia, I. Physica 8D, 435-444 (1983).
77. Frisch, U. & Parisi, G. in Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics Proc. Int. School of Physics Enrico Fermi, Course LXXXVIII (eds Ghil, M., Benzi, R. & Parisi G.) (North-Holland, Amsterdam, 1985).
78. Katzen, D. & Procaccia, I. Phys. Rev. Lett. 58, 1169-1172 (1987).
79. Cates, M. E. & Witten, T. A. Phys. Rev. Lett. 56, 2497-2500 (1986)
80. Cates, M. E. & Witten, T. A. Phys. Rev. A 35, 1809-1824 (1987).
81. Evertsz, C. & Lyklema, J. W. Phys. Rev. Lett. 58, 397-400 (1987).
82. Lyklema, J. W., Evertsz, C. & Pietronero, L. Europhys. Lett. 2, 77-82 (1986).
83. Lyklema, J. W. & Evertsz, C. J. Phys. A 19, L895-L900 (1986).
84. Pietronero, L. & Siebesma, A. Phys. Rev. Lett. 57, 1098-1101 (1986).
85. Waissmann, H. & Havlin, S. Phys. Rev. B 37, 5994-5997 (1988).
86. Trus, B., Havlin, S. & Stauffer, D. J. Phys. A 20, 6627-6630 (1987).