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

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

Fingerprint

scaling

Scaling laws

Coarsening

scaling laws

conservation

Conservation

Phase transitions

exponents

radii

ASJC Scopus subject areas

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

Cite this

Zinke-Allmang, M., & Feldman, L. C. (1991). Scaling and self-similarity in growth of clusters on surfaces. Applied Surface Science, 52(4), 357-362. https://doi.org/10.1016/0169-4332(91)90080-4

Scaling and self-similarity in growth of clusters on surfaces. / Zinke-Allmang, M.; Feldman, Leonard C.

In: Applied Surface Science, Vol. 52, No. 4, 1991, p. 357-362.

Research output: Contribution to journal › Article

Zinke-Allmang, M & Feldman, LC 1991, 'Scaling and self-similarity in growth of clusters on surfaces', Applied Surface Science, vol. 52, no. 4, pp. 357-362. https://doi.org/10.1016/0169-4332(91)90080-4

Zinke-Allmang M, Feldman LC. Scaling and self-similarity in growth of clusters on surfaces. Applied Surface Science. 1991;52(4):357-362. https://doi.org/10.1016/0169-4332(91)90080-4

Zinke-Allmang, M. ; Feldman, Leonard C. / Scaling and self-similarity in growth of clusters on surfaces. In: Applied Surface Science. 1991 ; Vol. 52, No. 4. pp. 357-362.

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10.1016/0169-4332(91)90080-4