Persistence and survival in equilibrium step fluctuations

Details Persistence and survival in equilibrium step fluctuations Persistence and survival in equilibrium step fluctuations

2007-02-28

arxiv.org/abs/cond-mat/0702690v1

Physics

Condensed Matter

Statistical Mechanics

30 pages, 12 figures, review paper for a special issue of JSTAT

Scientific paper

10.1088/1742-5468/2007/07/P07011

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 tunneling 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.

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