Scaling and self-similarity in growth of clusters on surfaces

M. Zinke-Allmang; Leonard C Feldman

doi:10.1016/0169-4332(91)90080-4

Scaling and self-similarity in growth of clusters on surfaces

M. Zinke-Allmang, Leonard C Feldman

Rutgers University

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

Abstract

Experimental studies of phase transitions and coarsening phenomena under conserved and non-conserved order parameter conditions are of current interest since growth scaling law behaviour is theoretically predicted and self-similar size distributions are expected. We present the first detailed data on the system Sn on Si(100) and Si(111), sufficient to distinguish growth law exponents for the radius of three-dimensional clusters on two-dimensional surfaces under mass conservation conditions. The results for late stage growth support the theoretically predicted value for r(t) ∝ tⁿ with n = 1 4 while a rather long transient regime is observed for early times.

Original language	English
Pages (from-to)	357-362
Number of pages	6
Journal	Applied Surface Science
Volume	52
Issue number	4
DOIs	https://doi.org/10.1016/0169-4332(91)90080-4
Publication status	Published - 1991

ASJC Scopus subject areas

Physical and Theoretical Chemistry
Surfaces, Coatings and Films
Condensed Matter Physics

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AU - Zinke-Allmang, M.

AU - Feldman, Leonard C

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AB - Experimental studies of phase transitions and coarsening phenomena under conserved and non-conserved order parameter conditions are of current interest since growth scaling law behaviour is theoretically predicted and self-similar size distributions are expected. We present the first detailed data on the system Sn on Si(100) and Si(111), sufficient to distinguish growth law exponents for the radius of three-dimensional clusters on two-dimensional surfaces under mass conservation conditions. The results for late stage growth support the theoretically predicted value for r(t) ∝ tn with n = 1 4 while a rather long transient regime is observed for early times.

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Scaling and self-similarity in growth of clusters on surfaces

Abstract

ASJC Scopus subject areas

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