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20 April 2024 |
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Waiting and Residence Times of Brownian Interface Fluctuation | | V.W.A. de Villeneuve
; J.M.L. van Leeuwen
; J.W.J. de Folter
; D.G.A.L. Aarts
; W. van Saarloos
; H.N.W. Lekkerkerker
; | | Date: |
27 Oct 2007 | | Abstract: | We report on the residence times of capillary waves above a given height $h$
and on the typical waiting time in between such fluctuations. The measurements
were made on phase separated colloid-polymer systems by laser scanning confocal
microscopy. Due to the Brownian character of the process, the stochastics vary
with the chosen measurement interval $Delta t$. In experiments, the discrete
scanning times are a practical cutoff and we are able to measure the waiting
time as a function of this cutoff. The measurement interval dependence of the
observed waiting and residence times turns out to be solely determined by the
time dependent height-height correlation function $g(t)$. We find excellent
agreement with the theory presented here along with the experiments. | | Source: | arXiv, 0710.5217 | | Services: | Forum | Review | PDF | Favorites | |
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