Phase-field modeling of epitaxial growth

A study of pyramidal islands formation in epitaxy within the generalized phase-field model

We study epitaxial growth of pyramidal patterns in a framework of the phase-field model generalized by introduction of temperature field dynamics and an assumption of interacting adsorbate due to elastic effects. We have shown that in the system with different rates of the phase-field change oscillatory dynamics of surface pattern formation can be realized. Analytical results are verified by numerical simulations. We compare properties of surface structures within the framework of the standard phase-field model and proposed a generalized model of epitaxial growth using statistical approach. It is shown that in the generalized model pyramidal patterns can be sustained by thermodynamical force governing flux of interacting adsorbate.

Dmitrii O. Kharchenko, Vasyl O. Kharchenko, Tetyana Zhylenko, and Alina V. Dvornichenko A study of pyramidal islands formation in epitaxy within the generalized phase-field model Eur. Phys. J. B (2013) 86: 175

Phase-field modeling of epitaxial growth in stochastic systems with interacting adsorbate

We study epitaxial growth of pyramidal patterns in stochastic systems with interacting adsorbate within the framework of phase field approach based on the Burton-Cabrera-Frank model. Considering statistical criteria of the pattern formation it was shown that the system dynamics is governed by the interaction strength of adatoms and the noise intensity of the total flux fluctuations. We have shown that the noise action can crucially change processes of pyramidal pattern formation. Scaling behaviour of the height-height correlation function is discussed.

D.O.Kharchenko, V.O.Kharchenko, I.O.Lysenko. Phase-field modeling of epitaxial growth in stochastic systems with interacting adsorbate, Phys. Scr., 83, 045802 (2011).

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