The crumpled state of some non-equilibrium fractal surfaces
作者： MAF Gomes , TI Jyh , TI Ren , None
DOI: 10.1088/0305-4470/23/24/001
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摘要: The authors study how the three-dimensional 'air' or Pythagorean distance r(Q, Q') between two points Q and Q' on a non-equilibrium crumpled fractal surface (CS), with topology of plane, transforms in internal geodesic x(Q, Q')-with probability P(x, r)-after unfolding CS plane. distribution r) governing this process is examined for first time. Among other results they find that (1) width 'diverges' r near ensemble average radius R (2) (x) approximately r13.
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sci-hub.se 参考文章(35)
Random fluctuations and pattern growth : experiments and models Kluwer Academic Publishers. ,(1988) , 10.1007/978-94-009-2653-0
Amnon Aharony, Jens Feder, Benoît B. Mandelbrot, Fractals in physics : essays in honour of Benoit B. Mandelbrot : proceedings of the international conference honouring Benoit B. Mandelbrot on his 65th birthday, Vence, France, 1-4 October, 1989 North-Holland , Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.. ,(1990)
Peter Pfeifer, David Avnir, Chemistry in noninteger dimensions between two and three. I. Fractal theory of heterogeneous surfaces Journal of Chemical Physics. ,vol. 79, pp. 3558- 3565 ,(1983) , 10.1063/1.446210
M Lewis, D. Rees, Fractal surfaces of proteins. Science. ,vol. 230, pp. 1163- 1165 ,(1985) , 10.1126/SCIENCE.4071040
David Avnir, Dina Farin, Peter Pfeifer, Molecular fractal surfaces Nature. ,vol. 308, pp. 261- 263 ,(1984) , 10.1038/308261A0
Farid F. Abraham, W. E. Rudge, M. Plischke, Molecular dynamics of tethered membranes. Physical Review Letters. ,vol. 62, pp. 1757- 1759 ,(1989) , 10.1103/PHYSREVLETT.62.1757
Yacov Kantor, Mehran Kardar, David R. Nelson, Tethered surfaces: Statics and dynamics. Physical Review A. ,vol. 35, pp. 3056- 3071 ,(1987) , 10.1103/PHYSREVA.35.3056
A. T. Skjeltorp, Paul Meakin, Fracture in microsphere monolayers studied by experiment and computer simulation Nature. ,vol. 335, pp. 424- 426 ,(1988) , 10.1038/335424A0
Roland Lenormand, Cesar Zarcone, Invasion percolation in an etched network: Measurement of a fractal dimension. Physical Review Letters. ,vol. 54, pp. 2226- 2229 ,(1985) , 10.1103/PHYSREVLETT.54.2226
T. A. Witten, L. M. Sander, Diffusion-limited aggregation, a kinetic critical phenomenon Physical Review Letters. ,vol. 47, pp. 1400- 1403 ,(1981) , 10.1103/PHYSREVLETT.47.1400