@article{ISI:000221813100029,
 abstract = {We report the results of numerical investigations of the steady-state
(SS) and finite-initial-conditions (FIC) spatial persistence and
survival probabilities for (1+1)-dimensional interfaces with dynamics
governed by the nonlinear Kardar-Parisi-Zhang equation and the linear
Edwards-Wilkinson (EW) equation with both white (uncorrelated) and
colored (spatially correlated) noise. We study the effects of a finite
sampling distance on the measured spatial persistence probability and
show that both SS and FIC persistence probabilities exhibit simple
scaling behavior as a function of the system size and the sampling
distance. Analytical expressions for the exponents associated with the
power-law decay of SS and FIC spatial persistence probabilities of the
EW equation with power-law correlated noise are established and
numerically verified.},
 article-number = {051603},
 author = {Constantin, M and Das Sarma, S and Dasgupta, C},
 doi = {10.1103/PhysRevE.69.051603},
 eissn = {1550-2376},
 issn = {1539-3755},
 journal = {PHYSICAL REVIEW E},
 month = {MAY},
 number = {5, 1},
 orcid-numbers = {Sarma, Sankar Das/0000-0002-0439-986X
Dasgupta, Chandan/0000-0002-0302-1881},
 researcherid-numbers = {Sarma, Sankar Das/B-2400-2009
},
 times-cited = {14},
 title = {Spatial persistence and survival probabilities for fluctuating
interfaces},
 unique-id = {ISI:000221813100029},
 volume = {69},
 year = {2004}
}