Contour lines of the discrete scale-invariant rough surfaces

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

Volumn 83, Issue 2, 2011, Pages

  Nezhadhaghighi, M Ghasemi ^a   Rajabpour, M A ^b  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

^b SEZIONE DI TRIESTE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONTOUR LINE; FRACTAL EXPONENTS; FRACTAL PROPERTIES; NUMERICAL CALCULATION; ROUGH SURFACES; SCALE-INVARIANCE PROPERTY; SCALE-INVARIANT; SCALING EXPONENT;

CONTOUR MEASUREMENT; FRACTALS; TWO DIMENSIONAL;

SURFACE PROPERTIES;

EID: 79952547228     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.021122     Document Type: Article

References (41)

1. D. Stauffer and D. Sornette, Physica A PHYADX 0378-4371 10.1016/S0378-4371(97)00680-8 252, 271 (1998).
2. J. C. Anifrani, C. Le Floch, D. Sornette, and B. Souillard, J. Phys. I (France) JPGCE8 1155-4304 10.1051/jp1:1995156 5, 631 (1995).
3. F. A. B. F. de Moura, U. Tirnakli, and M. L. Lyra, Phys. Rev. E JPGCE8 1539-3755 10.1103/PhysRevE.62.6361 62, 6361 (2000). (Pubitemid 32033316)
4. N. Vandewalle and M. Ausloos, Eur. J. Phys. B EPJBFY 1434-6028 10.1007/s100510050361 4, 139 (1998);
5. N. Vandewalle, M. Ausloos, P. Boveroux, and A. Minguet, Eur. J. Phys. B EPJBFY 1434-6028 10.1007/s100510050775 9, 355 (1999);
6. M. Ausloos and K. Ivanova, New Directions in Statistical Physics: Econophysics, Bioinformatics, and Pattern Recognition, edited by, L. T. Wille, (Springer, Berlin, 2004), p. 93.
7. S. Drozdz, F. Ruf, J. Speth, and M. Wojcik, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050890 10, 589 (1999);
8. S. Drozdz, M. Forczek, J. Kwapien, P. Oswiecimka, and R. Rak, Physica A PHYADX 0378-4371 10.1016/j.physa.2007.04.130 383, 59 (2007). (Pubitemid 47016855)
9. W.-X. Zhou, D. Sornette, R. A. Hill, and R. I. M. Dunbar, Proc. R. Soc. B PRLBA4 0962-8452 10.1098/rspb.2004.2970 272, 439 (2005). (Pubitemid 41411107)
10. H. Saleur and D. Sornette, J. Phys. I (France) JPGCE8 1155-4304 10.1051/jp1:1996160 6, 327 (1996).
11. G. de Vaucouleurs, Science SCIEAS 0036-8075 10.1126/science.167.3922.1203 167, 1203 (1970);
12. A. Provenzale, E. A. Spiegel, and R. Thieberger, Chaos CHAOEH 1054-1500 10.1063/1.166255 7, 82 (1997). (Pubitemid 127042172)
13. D. Sornette, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00076-8 297, 239 (1998).
14. D. Sornette, Critical Phenomena in Natural Sciences. Chaos Fractals, Self-organization and Disorder: Concepts and Tools (Springer, Heidelberg, 2000).
15. B. Dubrulle, F. Garner, and, D. Sornette, (eds.), Scale Invariance and Beyond (EDP Sciences and Springer, Berlin, 1997).
16. J.-C. Anifrani, C. Le Floch, D. Sornette, and B. Souillard, J. Phys. I (France) JPGCE8 1155-4304 10.1051/jp1:1995156 5, 631 (1995).
17. H. Saleur, C. G. Sammis, and D. Sornette, Nonlinear Proc. Geophys. JPGCE8 1607-7946 10.5194/npg-3-102-1996 3, 102 (1996);
18. H. Saleur, C. G. Sammis, and D. Sornette, J. Geophys. Res. JGREA2 0148-0227 10.1029/96JB00876 101, 17661 (1996);
19. A. Johansen, D. Sornette, H. Wakita, U. Tsunogai, W. I. Newman, and H. Saleur, J. Phys. I (France) JPGCE8 1155-4304 10.1051/jp1:1996143 6, 1391 (1996).
20. D. Sornette, A. Johansen, A. Arneodo, J.-F. Muzy, and H. Saleur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.251 76, 251 (1996).
21. B. Kutnjak-Urbanc, S. Zapperi, S. Milosevic, and H. E. Stanley, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.54.272 54, 272 (1996);
22. M. Ausloos, K. Ivanova, and N. Vandewalle, in Empirical Sciences of Financial Fluctuations: The Advent of Econophysics, Tokyo, Japan, 15-17 November 2000, proceedings, edited by, H. Takayasu, (Springer, Berlin, 2002), p. 62-76.
23. M. G. Nezhadhaghighi and M. A. Rajabpour, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.82.061101 82, 061101 (2010).
24. A.-L. Barabasi and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, New York, 1995).
25. J. Kondev and C. L. Henley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.4580 74, 4580 (1995).
26. J. Kondev, C. L. Henley, and D. G. Salinas, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.61.104 61, 104 (2001).
27. C. Zeng, J. Kondev, D. McNamara, and A. A. Middleton, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.109 80, 109 (1998);
28. J. Kondev and G. Huber, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5890 86, 5890 (2001). (Pubitemid 32609148)
29. O. Schramm, Israel J. Math. ISJMAP 0021-2172 10.1007/BF02803524 118, 221 (2000).
30. A. A. Saberi, M. A. Rajabpour, and S. Rouhani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.044504 100, 044504 (2008). (Pubitemid 351185696)
31. M. A. Rajabpour and S. M. Vaez Allaei, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.80.011115 80, 011115 (2009).
32. A. A. Saberi, H. Dashti-Naserabadi, and S. Rouhani, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.82.020101 82, 020101 (R) (2010).
33. M. V. Berry and Z. V. Lewis, Proc. R. Soc. Lond. A PRLTAO 1364-5021 10.1098/rspa.1980.0044 370, 459 (1980).
34. A. M. Garcia-Garcia and E. Cuevas e-print arXiv: 1005.0266v.
35. M. Ausloos and D. H. Berman, Proc. R. Soc. Lond. A PRLTAO 1364-5021 10.1098/rspa.1985.0083 400, 331 (1985).
36. K. Falconer, Fractal Geometry: Mathematical Foundations and Applications (Wiley, Chichester, UK, 2003).
37. H. William, Numerical Recipes: The Art of Scientific Computing, 2nd ed. (Cambridge University Press, New York, 1992).
38. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1982).
39. B. B. Mandelbrot, Fractals and Scaling in Finance (Springer, New York, 1997).
40. N. Jan, D. Stauffer, and A. Aharony, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1023008021962 92, 325 (1998).
41. B. Corominas-Murtra and R. V. Sol, Phys. Rev. E JSTPBS 1539-3755 10.1103/PhysRevE.82.011102 82, 011102 (2010).