Interface dynamics from experimental data
arXiv:cond-mat/0005351 · doi:10.1103/PhysRevE.62.1716
Abstract
A novel algorithm is envisaged to extract the coupling parameters of the Kardar-Parisi-Zhang (KPZ) equation from experimental data. The method hinges on the Fokker-Planck equation combined with a classical least-square error procedure. It takes properly into account the fluctuations of surface height through a deterministic equation for space correlations. We apply it to the 1+1 KPZ equation and carefully compare its results with those obtained by previous investigations. Unlike previous approaches, our method does not require large sizes and is stable under a modification of sampling time of observations. Shortcomings associated to standard discretizations of the continuous KPZ equation are also pointed out and possible future perspectives are finally analyzed.
10 pages, 2 figures (included), Revtex 3.0, requires epsfig style to appear in Phys. Rev. E (August 2000)
References in corpus (1)
Cited by in corpus (7)
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- Discretization-related issues in the KPZ equation: Consistency, Galilean-invariance violation, and fluctuation--dissipation relation
- Unified moving boundary model with fluctuations for unstable diffusive growth
- A pseudo-spectral approach to inverse problems in interface dynamics
- Generalized discretization of the Kardar-Parisi-Zhang equation
- Kardar-Parisi-Zhang asymptotics for the two-dimensional noisy Kuramoto-Sivashinsky equation