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- W1480265003 abstract "Spatial step edge fluctuations on a multicomponent surface of $mathrm{Al}∕mathrm{Si}(111)text{ensuremath{-}}(sqrt{3}ifmmodetimeselsetexttimesfi{}sqrt{3})$ were measured via scanning tunneling microscopy over a temperature range of $720--1070phantom{rule{0.3em}{0ex}}mathrm{K}$, for step lengths of $L=65--160phantom{rule{0.3em}{0ex}}mathrm{nm}$. Even though the time scale of fluctuations of steps on this surface varies by orders of magnitude over the indicated temperature range, measured first-passage spatial persistence and survival probabilities are temperature independent. The power law functional form for spatial persistence probabilities is confirmed and the symmetric spatial persistence exponent is measured to be $ensuremath{theta}=0.498ifmmodepmelsetextpmfi{}0.062$ in agreement with the theoretical prediction $ensuremath{theta}=1∕2$. The survival probability is found to scale directly with $y∕L$, where $y$ is the distance along the step edge. The form of the survival probabilities agrees quantitatively with the theoretical prediction, which yields exponential decay in the limit of small $y∕L$. The decay constant is found experimentally to be ${y}_{s}∕L=0.076ifmmodepmelsetextpmfi{}0.033$ for $y∕Lensuremath{le}0.2$." @default.
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- W1480265003 date "2007-02-09" @default.
- W1480265003 modified "2023-09-26" @default.
- W1480265003 title "Spatial first-passage statistics ofAl∕Si(111)−(3×3)step fluctuations" @default.
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- W1480265003 doi "https://doi.org/10.1103/physreve.75.021603" @default.
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