2003/11/24 by G. R. Jafari, S. M. Fazeli, F. Ghasemi +7 · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Atomic force microscopy #Composite material #Differential equation #Fokker–Planck equation #Geometry #Langevin equation #Markov chain #Materials science #Mathematics #Nanotechnology #Physics #Quantum mechanics #Rough surface #Statistical physics #Statistics #Stochastic dynamics #Stochastic process #Stochastic processes and statistical mechanics #Surface (topology) #Surface finish #Surface roughness #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech #hep-th #nanoparticles nucleation surface interactions #physics.data-an
paper · pdf · doi:10.1103/physrevlett.91.226101
published as Phys.Rev.Lett. 91 (2003) 226101 · 4 pages, 7 figures
openalex publication_date 2003/11/24 · arxiv created 2003/12/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.