2000/05/22 by Achille Giacometti, Maurice Rossi · 11 citations
Economics, Econometrics and Finance · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Applied mathematics #Complex Systems and Time Series Analysis #Computer science #Coupling (piping) #Differential equation #Dynamics (music) #Engineering #Fokker–Planck equation #Interface (matter) #Material Dynamics and Properties #Mathematical analysis #Mathematics #Mechanics #Physics #Quantum mechanics #Sampling (signal processing) #Space (punctuation) #Spacetime #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.62.1716
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 62(2), 1716-1724 (American Physical Society) · 10 pages, 2 figures (included), Revtex 3.0, requires epsfig style to appear in Phys. Rev. E (August 2000)
arxiv created 2000/05/22 · openalex publication_date 2000/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
An 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)-dimensional 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 with standard discretizations of the continuous KPZ equation are also pointed out and finally possible future perspectives are analyzed.