By means of the analytical expression of the decay of the number of rigid discs as a function of the fraction of covered surface, we are able to evaluate averages of stochastic variables related to the distribution of impenetrable discs. In particular, we consider the edge-edge mean distance between discs, lambda p, and the distance from the edge disc of a point chosen at random, delta. The second moment of d and its connection to the adatom life time in thin film growth is highlighted and discussed on the basis of the comparison with Monte Carlo results. We also demonstrate numerically that the adatom life time in mean field coalescence is the same as that calculated in genuine coalescence.

Fanfoni, M., Tomellini, M., Marchetti, B., Gonnella, F. (2006). Mean field approach for describing thin film morphology: 2. Adatom life time. JOURNAL OF PHYSICS. CONDENSED MATTER, 18(34), 8093-8102 [10.1088/0953-8984/18/34/018].

Mean field approach for describing thin film morphology: 2. Adatom life time

FANFONI, MASSIMO;TOMELLINI, MASSIMO;
2006-01-01

Abstract

By means of the analytical expression of the decay of the number of rigid discs as a function of the fraction of covered surface, we are able to evaluate averages of stochastic variables related to the distribution of impenetrable discs. In particular, we consider the edge-edge mean distance between discs, lambda p, and the distance from the edge disc of a point chosen at random, delta. The second moment of d and its connection to the adatom life time in thin film growth is highlighted and discussed on the basis of the comparison with Monte Carlo results. We also demonstrate numerically that the adatom life time in mean field coalescence is the same as that calculated in genuine coalescence.
2006
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore FIS/03 - FISICA DELLA MATERIA
English
Coalescence; Disks (machine components); Magnetic moments; Monte Carlo methods; Numerical analysis; Random processes; Impenetrable discs; Mean field coalescence; Rigid discs; Stochastic variables; Thin films
10
Fanfoni, M., Tomellini, M., Marchetti, B., Gonnella, F. (2006). Mean field approach for describing thin film morphology: 2. Adatom life time. JOURNAL OF PHYSICS. CONDENSED MATTER, 18(34), 8093-8102 [10.1088/0953-8984/18/34/018].
Fanfoni, M; Tomellini, M; Marchetti, B; Gonnella, F
Articolo su rivista
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/37567
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact