Persistence and survival in equilibrium step fluctuations

Constantin, M. ; Dasgupta, C. ; Das Sarma, S. ; Dougherty, D. B. ; Williams, E. D. (2007) Persistence and survival in equilibrium step fluctuations Journal of Statistical Mechanics: Theory and Experiment, 2007 (7). P07011. ISSN 1742-5468

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Results of analytic and numerical investigations of first-passage properties of equilibrium fluctuations of monatomic steps on a vicinal surface are reviewed. Both temporal and spatial persistence and survival probabilities, as well as the probability of persistent large deviations, are considered. Results of experiments in which dynamical scanning tunnelling microscopy is used to evaluate these first-passage properties for steps with different microscopic mechanisms of mass transport are also presented and interpreted in terms of theoretical predictions for appropriate models. Effects of discrete sampling, finite system size and finite observation time, which are important in understanding the results of experiments and simulations, are discussed.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
Keywords:Persistence (theory); Stepped Surfaces (experiment); Persistence (experiment)
ID Code:83261
Deposited On:17 Feb 2012 04:12
Last Modified:17 Feb 2012 04:12

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