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Point island dynamics under fixed rate deposition

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: island dynamics; point island; dynamics fixed; rate deposition; deposition; fixed rate

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019

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