Volume 1, Issue 4
Interface Dynamics and Far-From-Equilibrium Phase Transitions in Multilayer Epitaxial Growth and Erosion on Crystal Surfaces: Continuum Theory Insights

Leonardo Golubović, Artem Levandovsky & Dorel Moldovan

East Asian J. Appl. Math., 1 (2011), pp. 297-371.

Published online: 2018-02

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  • Abstract

We review recent theoretical progress in the physical understanding of far-from-equilibrium phenomena seen experimentally in epitaxial growth and erosion on crystal surfaces. The formation and dynamics of various interface structures (pyramids, ripples, etc.), and also kinetic phase transitions observed between these structures, can all be understood within a simple continuum model based on the mass conservation law and respecting the symmetries of the growing crystal surface. In particular, theoretical predictions and experimental results are compared for (001), (110) and (111) crystal surfaces.

  • Keywords

Interface dynamics epitaxial growth non-equilibrium phase transitions

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@Article{EAJAM-1-297, author = {}, title = {Interface Dynamics and Far-From-Equilibrium Phase Transitions in Multilayer Epitaxial Growth and Erosion on Crystal Surfaces: Continuum Theory Insights}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {1}, number = {4}, pages = {297--371}, abstract = {

We review recent theoretical progress in the physical understanding of far-from-equilibrium phenomena seen experimentally in epitaxial growth and erosion on crystal surfaces. The formation and dynamics of various interface structures (pyramids, ripples, etc.), and also kinetic phase transitions observed between these structures, can all be understood within a simple continuum model based on the mass conservation law and respecting the symmetries of the growing crystal surface. In particular, theoretical predictions and experimental results are compared for (001), (110) and (111) crystal surfaces.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.040411.030611a}, url = {http://global-sci.org/intro/article_detail/eajam/10922.html} }
TY - JOUR T1 - Interface Dynamics and Far-From-Equilibrium Phase Transitions in Multilayer Epitaxial Growth and Erosion on Crystal Surfaces: Continuum Theory Insights JO - East Asian Journal on Applied Mathematics VL - 4 SP - 297 EP - 371 PY - 2018 DA - 2018/02 SN - 1 DO - http://doi.org/10.4208/eajam.040411.030611a UR - https://global-sci.org/intro/article_detail/eajam/10922.html KW - Interface dynamics KW - epitaxial growth KW - non-equilibrium phase transitions AB -

We review recent theoretical progress in the physical understanding of far-from-equilibrium phenomena seen experimentally in epitaxial growth and erosion on crystal surfaces. The formation and dynamics of various interface structures (pyramids, ripples, etc.), and also kinetic phase transitions observed between these structures, can all be understood within a simple continuum model based on the mass conservation law and respecting the symmetries of the growing crystal surface. In particular, theoretical predictions and experimental results are compared for (001), (110) and (111) crystal surfaces.

Leonardo Golubović, Artem Levandovsky & Dorel Moldovan. (2020). Interface Dynamics and Far-From-Equilibrium Phase Transitions in Multilayer Epitaxial Growth and Erosion on Crystal Surfaces: Continuum Theory Insights. East Asian Journal on Applied Mathematics. 1 (4). 297-371. doi:10.4208/eajam.040411.030611a
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