Fractal scaling in thin film condensation and material surfaces
Source abstract
Abstract
Abstract Surfaces and interfaces play a crucial role in a very broad spectrum of natural and commercial processes involving solid materials. It is common to idealize the geometry of these surfaces by smooth planes. However, only in very rare cases (such as mica or carefully prepared low index single crystal faces) are surfaces smooth down to atomic length scales. In some cases, the deviations from the idealized planar geometry are small and we can think in terms of various types of “defects” in an otherwise perfect surface. As the defect density becomes larger, interactions between defects become important and the “isolated defect” picture becomes less useful.
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Research context
OpenAlex topics: Theoretical and Computational Physics · Material Dynamics and Properties · nanoparticles nucleation surface interactions
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (100+)
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1. Mandelbrot B. B. · 1982
2. 10.1103/PhysRevLett.47.140010.1103/PhysRevLett.47.1400 ↗
3. Meakin P. · Phys. Rev. · 1983 · 27 · 60410.1103/PhysRevA.27.604 ↗
4. Meakin P. · Phys. Rev. · 1983 · 27 · 261610.1103/PhysRevA.27.2616 ↗
5. Jullien R. · Recherche · 1985 · 171 · 1334
6. 10.1016/0370-1573(86)90047-510.1016/0370-1573(86)90047-5 ↗
7. Family F. · 198410.1016/B978-0-444-86912-8.50062-6 ↗
8. Stanley H. E. · 1986
9. Pietronero, L. and Tosatti, E., eds. Fractals in Physics. 6th Int. Symp. ICTP. Amsterdam: North Holland.
10. Pynn R. · 1985
11. National Bureau of Standards, Gaith-ersburg, Md. Proceedings of a Symposium on Fractals in the Physical Sciences.J. Statistical Phys.,36, 5/6, 1984
12. Rojanski, D., Huppert, D., Bale, H. B., Dacai, X., Schmidt, P. W., Farin, D., Seri-Levy, A. and Avnir, D. An Integrated Fractal Analysis on Silica: Electronic Energy Transfer, Small-Angle X-Ray Scattering and Adsorption. 2nd Int. Conf. Unconventional Photoactive Materials. Edited by: Scher, H. New York: Plenum Press. see alsoPhys. Rev. Lett.,56, 2505, 1986
13. Stanley H. E. · 1986
14. 10.1021/la00064a00310.1021/la00064a003 ↗
15. Meakin P. · Phys. Rev. Lett. · 1985 · 54 · 205310.1103/PhysRevLett.54.2053 ↗
16. Eden, M. A two dimensional growth process. Proc. 4th Berkeley Symp. on Math, Statistics and Probability. Vol. 4, pp.223
17. 10.1016/0095-8522(63)90061-810.1016/0095-8522(63)90061-8 ↗
18. 10.1103/PhysRevLett.56.88910.1103/PhysRevLett.56.889 ↗
19. 10.1103/PhysRevLett.55.102610.1103/PhysRevLett.55.1026 ↗
20. 10.1103/PhysRevLett.55.140610.1103/PhysRevLett.55.1406 ↗
21. 10.1103/PhysRevLett.56.85410.1103/PhysRevLett.56.854 ↗
22. Mandelbrot B. B. · 1986
23. Alexander S. · 1986
24. 10.1088/0031-8949/32/4/00110.1088/0031-8949/32/4/001 ↗
25. Voss R. F. · 1985 · 1
26. Wong P. Z. · Phys. Rev. · 1985 · 32 · 741710.1103/PhysRevB.32.7417 ↗
27. Halsey T. C. · Phys. Rev. · 1986 · 33 · 114110.1103/PhysRevA.33.1141 ↗
28. Coniglio A. · 1986
29. 10.1017/S002211207400071110.1017/S0022112074000711 ↗
30. Mandelbrot B. B. · Ann. Isr. Phys. Soc. · 1978 · 2 · 225
31. Mandelbrot, B. B. Fractal measures (their infinite moment sequences and dimensions) and multiplicative chaos: early works and open problems. Proc. Int. Workshop on Dimensions and Entropies in Chaotic Systems. Edited by: Meyer-Kress, O. Berlin: Springer-Verlag.
32. Hentschel H. G. E. · Physica · 1983 · 8 · 435
33. Meakin P. · Phys. Rev. · 1985 · 32 · 236410.1103/PhysRevA.32.2364 ↗
34. Meakin P. · 1986
35. Bensimon D.10.1103/PhysRevA.33.3622 ↗
36. 10.1103/PhysRevLett.55.279810.1103/PhysRevLett.55.2798 ↗
37. Meakin P. · Phys. Rev. · 1986 · 34 · 71010.1103/PhysRevA.34.710 ↗
38. 10.1051/jphyslet:01984004501306750010.1051/jphyslet:019840045013067500 ↗
39. Umberger D. K. · Phys. Rev. Lett. · 1985 · 55 · 66110.1103/PhysRevLett.55.661 ↗
40. Grebogi C. · Phys. Lett. · 1985 · 110 · 110.1016/0375-9601(85)90220-8 ↗
41. 10.1007/BF0101293310.1007/BF01012933 ↗
42. Meakin P. · Phys. Rev. · 1986 · 33 · 337110.1103/PhysRevA.33.3371 ↗
43. Meakin P.
44. Halsey T. C. · Phys. Rev. · 1985 · 32 · 254710.1103/PhysRevA.32.2546 ↗
45. Meakin P. · Phys. Rev. · 1985 · 32 · 68510.1103/PhysRevA.32.685 ↗
46. Kolb M. · J. Phys. Lett. · 1985 · 46 · L63I10.1051/jphyslet:019850046014063100 ↗
47. Meakin P. · Phys. Rev. · 1984 · 30 · 420710.1103/PhysRevB.30.4207 ↗
48. 10.1103/PhysRevLett.51.238210.1103/PhysRevLett.51.2382 ↗
49. Matsushita M. · Phys. Rev. · 1985 · 32 · 381410.1103/PhysRevA.32.3814 ↗
50. Witten T. A. · Phys. Rev. · 1983 · 27 · 568610.1103/PhysRevB.27.5686 ↗
51. 10.1149/1.211384110.1149/1.2113841 ↗
52. Vicsek T. · Phys. Rev. · 1985 · 32 · 308410.1103/PhysRevA.32.3084 ↗
53. 10.1103/PhysRevLett.53.228110.1103/PhysRevLett.53.2281 ↗
54. Szep J. · J. Phys. · 1985 · 18 · L413
55. 10.1103/PhysRevLett.52.103310.1103/PhysRevLett.52.1033 ↗
56. Meakin P. · Phys. Rev. · 1986 · 33 · 419910.1103/PhysRevA.33.4199 ↗
57. 10.1016/S0022-5193(86)80011-X10.1016/S0022-5193(86)80011-X ↗
58. Murat M.10.1103/PhysRevB.32.8420 ↗
59. Nittman J. · Nature (London) · 1986 · 321 · 66310.1038/321663a0 ↗
60. Leyvraz F. · J. Phys. · 1985 · 18 · L941
61. 10.1051/jphys:0198400450303950010.1051/jphys:01984004503039500 ↗
62. Meakin P. · Phys. Rev. · 1986 · 34 · 255810.1103/PhysRevA.34.2558 ↗
63. Meakin P. · Phys. Rev. · 1986 · 33 · 198410.1103/PhysRevA.33.1984 ↗
64. Rossi G. · Phys. Rev. · 1986 · 34 · 354310.1103/PhysRevA.34.3543 ↗
65. Dougherty A. J. · Bull. Am. Phys. Soc. · 1985 · 30 · 268
66. Nittman J. · Nature (London) · 1985 · 314 · 14110.1038/314141a0 ↗
67. Tang C. · Phys. Rev. · 1985 · 31 · 197710.1103/PhysRevA.31.1977 ↗
68. 10.1103/PhysRevLett.55.131510.1103/PhysRevLett.55.1315 ↗
69. 10.1007/BF0101866310.1007/BF01018663 ↗
70. 10.1103/PhysRevLett.52.162110.1103/PhysRevLett.52.1621 ↗
71. 10.1103/PhysRevLett.55.268810.1103/PhysRevLett.55.2688 ↗
72. 10.1146/annurev.ms.07.080177.00132310.1146/annurev.ms.07.080177.001323 ↗
73. Popescu M. · Thin Solid Films · 1984 · 121 · 31710.1016/0040-6090(84)90059-2 ↗
74. Morchan B. A. · Phys. Met. Metallogr. · 1969 · 28 · 653
75. Nieuwenhuizen J. M. · Philips Tech. Rev. · 1966 · 27 · 87
76. 10.1016/0040-6090(77)90037-210.1016/0040-6090(77)90037-2 ↗
77. 10.1016/0040-6090(82)90428-X10.1016/0040-6090(82)90428-X ↗
78. Guenther, K. H. 1982. Columnar and nodular growth of thin films. Proc. of SPIE Meet. 1982, Arlington, Va.10.1117/12.933785 ↗
79. Leamy H. J. · 1980 · 6
80. Orlowski B. A. · Thin Solid Films · 1975 · 34 · 3110.1016/0040-6090(76)90120-6 ↗
81. Nakhodkin H. G. · Thin Solid Films · 1976 · 34 · 2110.1016/0040-6090(76)90118-8 ↗
82. 10.1063/1.33563910.1063/1.335639 ↗
83. 10.1016/0378-5963(85)90190-410.1016/0378-5963(85)90190-4 ↗
84. 10.1063/1.33153610.1063/1.331536 ↗
85. 10.1007/BF0114553710.1007/BF01145537 ↗
86. 10.1016/0021-9797(66)90037-310.1016/0021-9797(66)90037-3 ↗
87. 10.1016/0040-6090(86)90292-010.1016/0040-6090(86)90292-0 ↗
88. Meakin P. · J. Colloid Interface Sci. · 1985 · 105 · 24010.1016/0021-9797(85)90364-9 ↗
89. Bensimon D. · Phys. Lett. · 1984 · 102 · 23810.1016/0375-9601(84)90701-1 ↗
90. Ball R. C. · Phys. Rev. · 1984 · 29 · 296610.1103/PhysRevA.29.2966 ↗
91. 10.1016/0095-8522(59)90041-810.1016/0095-8522(59)90041-8 ↗
92. 10.1021/j150580a01110.1021/j150580a011 ↗
93. Leamy H. J. · J. Appl. Phys. · 1978 · 49 · 343010.1063/1.325249 ↗
94. 10.1063/1.165534110.1063/1.1655341 ↗
95. 10.1016/0040-6090(77)90355-810.1016/0040-6090(77)90355-8 ↗
96. Ramanlal P. · Phys. Rev. Lett. · 1985 · 54 · 182810.1103/PhysRevLett.54.1828 ↗
97. Konig H. · Optik (Stuttgart) · 1950 · 6 · 111
98. Meakin, P. Simple models for the formation of random rough surfaces. Proc. Int. Symp./Workshop on Multiple Scattering of Waves in Random Media and Random Rough Surfaces. Pa.: Pennsylvania State University, University Park.
99. Meakin P.
100. 10.1103/PhysRevLett.53.41510.1103/PhysRevLett.53.415 ↗