Interface roughening dynamics: Temporal width fluctuations and the correlation length

Avraham Be'er, Inbal Hecht, Haim Taitelbaum
2005 Physical Review E  
In this work we study experimentally and numerically the temporal width fluctuations obtained in kinetic roughening of single interfaces. This fluctuative behavior, which results from competing mechanisms in the interface growth process, is shown to contain information on the growth process of the specific interface. We define a measure of the temporal interface width fluctuations in order to extract the correlation length of the interface from the fluctuating data. We study numerically the
more » ... numerically the quenched Kardar-Parisi-Zhang ͑QKPZ͒ equation for single interfaces in order to assess the role of the different mechanisms, such as normal growth and surface tension, on the fluctuations. We analyze experimental data of mercury droplets spreading on various metal films ͑silver and gold͒ in various thicknesses, as well as data of water spreading on paper ͑imbibition͒, in order to demonstrate the validity of our method in a wide range of growing interfaces.
doi:10.1103/physreve.72.031606 pmid:16241453 fatcat:cfaa5uoaxrf57lt44zcvh4ul7m