Stochastic Analysis and Regeneration of Rough Surfaces
G. R. Jafari, S. M. Fazeli, F. Ghasemi, S. M. Vaez Allaei, M. Reza, Rahimi Tabar, A. Iraji zad, G. Kavei
TL;DR
This paper analyzes the stochastic properties of rough surfaces, deriving equations that describe their complexity and enabling the regeneration of similar surfaces with comparable statistical features.
Contribution
It introduces a stochastic framework using Fokker-Planck and Langevin equations to model and regenerate rough surfaces based on atomic force microscopy data.
Findings
Surface roughness characterized by Langevin equations
Successful regeneration of surfaces with similar statistical properties
Markov property of rough surfaces established
Abstract
We investigate 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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.