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Interface dynamics from experimental data

Achille Giacometti·Maurice Rossi
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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.

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Achille Giacometti, Maurice Rossi. 2000-05-22. Interface dynamics from experimental data. https://doi.org/10.1103/physreve.62.1716

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