@article{ISI:000228245700028,
 abstract = {The effects of sampling rate and total measurement time have been
determined for single-point measurements of step fluctuations within the
context of first-passage properties. Time dependent scanning tunneling
microscopy has been used to evaluate step fluctuations on Ag(111) films
grown on mica as a function of temperature (300-410 K), on screw
dislocations on the facets of Pb crystallites at 320 K, and on
Al-terminated Si(111) over the temperature range 770-970 K. Although the
fundamental time constant for step fluctuations on Ag and Al/Si varies
by orders of magnitude over the temperature ranges of measurement, no
dependence of the persistence amplitude on temperature is observed.
Instead, the persistence probability is found to scale directly with
t/Delta t where Delta t is the time interval used for sampling. Survival
probabilities show a more complex scaling dependence, which includes
both the sampling interval and the total measurement time t(m). Scaling
with t/Delta t occurs only when Delta t/t(m) is a constant. We show that
this observation is equivalent to theoretical predictions that the
survival probability will scale as Delta t/L-z, where L is the effective
length of a step. This implies that the survival probability for large
systems, when measured with fixed values of t(m) or Delta t, should also
show little or no temperature dependence.},
 article-number = {021602},
 author = {Dougherty, DB and Tao, C and Bondarchuk, O and Cullen, WG and Williams,
ED and Constantin, M and Dasgupta, C and Das Sarma, S},
 doi = {10.1103/PhysRevE.71.021602},
 eissn = {1550-2376},
 issn = {1539-3755},
 journal = {PHYSICAL REVIEW E},
 month = {FEB},
 number = {2, 1},
 orcid-numbers = {Sarma, Sankar Das/0000-0002-0439-986X
Tao, Chenggang/0000-0002-6609-0219
Bondarchuk, Oleksandr/0000-0001-7380-8930
Dasgupta, Chandan/0000-0002-0302-1881},
 researcherid-numbers = {Sarma, Sankar Das/B-2400-2009
Tao, Chenggang/U-6800-2017
Dougherty, Daniel/AAA-9562-2019
},
 times-cited = {15},
 title = {Sampling-time effects for persistence and survival in step structural
fluctuations},
 unique-id = {ISI:000228245700028},
 volume = {71},
 year = {2005}
}