Point island dynamics under fixed rate deposition

D. Allen, M. Grinfeld, R. Sasportes

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1 Citation (Scopus)
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We consider the dynamics of point islands during submonolayer deposition, in which the fragmentation of subcritical size islands is allowed. To understand asymptotics of solutions, we use methods of centre manifold theory, and for globalisation, we employ results from the theories of compartmental systems and of asymptotically autonomous dynamical systems. We also compare our results with those obtained by making the quasi-steady state assumption.
Original languageEnglish
Pages (from-to)1716-1728
Number of pages13
JournalJournal of Mathematical Analysis and Applications
Issue number2
Early online date11 Dec 2018
Publication statusPublished - 15 Apr 2019


  • submonolayer deposition
  • centre manifold theory
  • compartmental systems
  • asymptotically autonomous dynamical systems

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