Beyond the Wigner distribution: Schrodinger equations and terrace width distributions

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dc.contributor.authorRichards, Howard L.
dc.contributor.authorEinstein, Theodore L.
dc.date.accessioned2024-03-11T15:55:16Z
dc.date.available2024-03-11T15:55:16Z
dc.date.issued2005
dc.description.abstractThe so-called generalized Wigner distribution has earlier been shown to be an excellent approximation for the terrace width distribution (TWD) of vicinal surfaces characterized by step-step interactions that are perpendicular to the average step direction and fall off as the inverse square of the step spacing. In this paper, we show that the generalized Wigner distribution can be derived from a plausible, phenomenological model in which two steps interact with each other directly and with other steps through a position-dependent pressure. We also discuss generalizations to more general step-step interactions and show that the predictions are in good agreement with TWDs derived from numerical transfer-matrix calculations and Monte Carlo simulations. This phenomenological approach allows the step-step interaction to be extracted from experimental TWDs.
dc.description.urihttps://doi.org/10.1103/PhysRevE.72.016124
dc.identifierhttps://doi.org/10.13016/gmt8-bbhy
dc.identifier.citationRichards and Einstein, Beyond the Wigner distribution: Schrodinger equations and terrace width distributions. Physical Review E, 72, 2005.
dc.identifier.urihttp://hdl.handle.net/1903/32310
dc.publisherAmerican Physical Society
dc.titleBeyond the Wigner distribution: Schrodinger equations and terrace width distributions
dc.typeArticle

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