Stochastic analysis and regeneration of rough surfaces

被引:91
作者
Jafari, GR
Fazeli, SM
Ghasemi, F
Allaei, SMV
Tabar, MRR
Zad, AI
Kavei, G
机构
[1] Sharif Univ Technol, Dept Phys, Tehran, Iran
[2] Inst Adv Studies Basic Sci, Zanjan, Iran
[3] Observ Cote Azur, CNRS, UMR 6529, F-06304 Nice 4, France
[4] Mat & Energy, Res Ctr, Tehran, Iran
关键词
D O I
10.1103/PhysRevLett.91.226101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the Markov property of rough surfaces. Using stochastic analysis, we characterize the complexity of the surface roughness by means of a Fokker-Planck or Langevin equation. The obtained Langevin equation enables us to regenerate surfaces with similar statistical properties compared with the observed morphology by atomic force microscopy.
引用
收藏
页数:4
相关论文
共 19 条
[1]  
Aue J, 1997, APPL PHYS LETT, V71, P1347, DOI 10.1063/1.120415
[2]  
Barabasi A-Ls, 1995, FRACTAL CONCEPTS SUR, DOI [10.1017/CBO9780511599798, DOI 10.1017/CBO9780511599798]
[3]   Theoretical model for the Kramers-Moyal description of turbulence cascades [J].
Davoudi, J ;
Tabar, MRR .
PHYSICAL REVIEW LETTERS, 1999, 82 (08) :1680-1683
[4]  
DONKOV AA, MATHPH9807010
[5]  
DONKOV AA, MATHPHYS9807011
[6]   How to quantify deterministic and random influences on the statistics of the foreign exchange market [J].
Friedrich, R ;
Peinke, J ;
Renner, C .
PHYSICAL REVIEW LETTERS, 2000, 84 (22) :5224-5227
[7]   Comment on "Indispensable finite time corrections for Fokker-Planck equations from time series data" [J].
Friedrich, R ;
Renner, C ;
Siefert, M ;
Peinke, J .
PHYSICAL REVIEW LETTERS, 2002, 89 (14)
[8]   Description of a turbulent cascade by a Fokker-Planck equation [J].
Friedrich, R ;
Peinke, J .
PHYSICAL REVIEW LETTERS, 1997, 78 (05) :863-866
[9]  
FRIEDRICH R, 1997, LECT NOTE PHYS, V503, P313
[10]   Non-Markovian character of ionic current fluctuations in membrane channels [J].
Fulinski, A ;
Grzywna, Z ;
Mellor, I ;
Siwy, Z ;
Usherwood, PNR .
PHYSICAL REVIEW E, 1998, 58 (01) :919-924