https://doi.org/10.1140/epjb/e2003-00156-9
Determination of the stochastic evolution equation from noisy experimental data
1
Department of Physics, PO Box 35 (YFL), 40014 University of
Jyväskylä, Finland
2
Department of Mathematical Information Technology, PO Box 35
(Agora), 40014 University of Jyväskylä, Finland
3
Faculty of Science, Vrije Universiteit, De Boelelaan 1081, 1081 HV
Amsterdam, The Netherlands
Corresponding author: a jussi.maunuksela@physmail.phys.jyu.fi
Received:
20
December
2002
Revised:
7
March
2003
Published online:
4
June
2003
We have determined the coefficients of the Kardar-Parisi-Zhang equation as functions of coarse graining, which best describe the time evolution and spatial behavior observed for slow-combustion fronts in sheets of paper and magnetic flux fronts in a thin-film high-Tc superconductor. Reconstruction of the relevant equation of motion and its coefficients was mainly based on the inverse method proposed by Lam and Sander [Phys. Rev. Lett. 71, 561 (1993)]. The coefficient of the nonlinear term was also determined from the local slope-dependence of the front velocity.
PACS: 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 64.60.Ht – Dynamic critical phenomena
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
