Survival in equilibrium step fluctuations

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dc.creatorDasgupta, C.
dc.creatorConstantin, M.
dc.creatorSarma, S. Das
dc.creatorMajumdar, Satya N.
dc.date2003-07-03
dc.date2004-02-27
dc.date.accessioned2026-07-07T02:52:11Z
dc.date.available2026-07-07T02:52:11Z
dc.descriptionWe 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 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 STM data on step fluctuations on Al/Si(111) and Ag(111) surfaces.
dc.descriptionRevTeX, 4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0307086
dc.identifierhttp://arxiv.org/abs/cond-mat/0307086
dc.identifierPhys. Rev. E 69, 022101 (2004)
dc.identifierdoi:10.1103/PhysRevE.69.022101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21747
dc.subjectStatistical Mechanics
dc.titleSurvival in equilibrium step fluctuations
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