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Survival in equilibrium step fluctuations

Dasgupta, C and Constantin, M and Das, Sarma S and Majumdar, SN (2004) Survival in equilibrium step fluctuations. In: Physical Review E, 69 (2). 022101-1-022101-4.

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We report the results of analytic and numerical investigations of the time scale of survival or non-zero-crossing probability S(t) in equilibrium step fluctuations described by Langevin equations appropriate for attachment/detachment and edge-diffusion limited kinetics. An exact relation between long-time behaviors of the survival probability and the autocorrelation function is established and numerically verified. S(t) is shown to exhibit a simple scaling behavior as a function of system size and sampling time. Our theoretical results are in agreement with those obtained from an analysis of experimental dynamical scanning tunneling microscopy data on step fluctuations on Al/Si(111) and Ag(111) surfaces.

Item Type: Journal Article
Publication: Physical Review E
Publisher: American Physical Society.
Additional Information: Copyright of this article belongs to American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 19 Dec 2008 18:17
Last Modified: 19 Sep 2010 04:56
URI: http://eprints.iisc.ac.in/id/eprint/17317

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