Spatial persistence and survival probabilities for fluctuating interfaces

Constantin, M. ; Das Sarma, S. ; Dasgupta, C. (2004) Spatial persistence and survival probabilities for fluctuating interfaces Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 69 (5). 051603_1-051603_10. ISSN 1539-3755

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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.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:83254
Deposited On:17 Feb 2012 04:12
Last Modified:17 Feb 2012 04:12

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