@article{ISI:000235008500051,
 abstract = {We report numerical and analytic results for the spatial survival
probability for fluctuating one-dimensional interfaces with
Edwards-Wilkinson or Kardar-Parisi-Zhang dynamics in the steady state.
Our numerical results are obtained from analysis of steady-state
profiles generated by integrating a spatially discretized form of the
Edwards-Wilkinson equation to long times. We show that the survival
probability exhibits scaling behavior in its dependence on the system
size and the ``sampling interval″ used in the measurement for both
``steady-state″ and ``finite″ initial conditions. Analytic results
for the scaling functions are obtained from a path-integral treatment of
a formulation of the problem in terms of one-dimensional Brownian
motion. A ``deterministic approximation″ is used to obtain
closed-form expressions for survival probabilities from the formally
exact analytic treatment. The resulting approximate analytic results
provide a fairly good description of the numerical data.},
 article-number = {011602},
 author = {Majumdar, SN and Dasgupta, C},
 doi = {10.1103/PhysRevE.73.011602},
 eissn = {1550-2376},
 issn = {1539-3755},
 journal = {PHYSICAL REVIEW E},
 month = {JAN},
 number = {1, 1},
 orcid-numbers = {Dasgupta, Chandan/0000-0002-0302-1881},
 times-cited = {18},
 title = {Spatial survival probability for one-dimensional fluctuating interfaces
in the steady state},
 unique-id = {ISI:000235008500051},
 volume = {73},
 year = {2006}
}