Continuum description of profile scaling in nanostructure decay
Dionisios Margetis, Michael J. Aziz, Howard A. Stone
Abstract
The relaxation of axisymmetric crystal surfaces with a single facet below the roughening transition is studied via a continuum approach that accounts for step energy g1 and step-step interaction energy g3>0. For diffusion-limited kinetics, free-boundary and boundary-layer theories are used for self-similar shapes close to the growing facet. For long times and g3/g1 < 1, (a) a universal equation is derived for the shape profile, (b) the layer thickness varies as (g3/g1)1/3, (c) distinct solutions are found for different g3/1, and (d) for conical shapes, the profile peak scales as (g3/g1)-1/6. These results compare favorably with kinetic simulations.
Create a lesson
Related papers
A Gaussian process coarse-grained potential for Na-montmorillonite
Yalda Pedram, Yaoting Zhang, Laurent Brochard et al.
First-principles theory of phonon renormalization from nonlinear electron-phonon interactions
Florian Kluibenschedl, Matthew Houtput, Jacques Tempere et al.
Spin-Lattice Dynamics and Interactions in Magnonic Spinels
Hari Paudyal, Yuri Suzuki, Michael E. Flatté et al.
Magnon-Phonon Dynamics in Multidimensional Antiferromagnetic Oxides
Yogendra Limbu, Michael E. Flatté, Durga Paudyal
Strain-Induced Metal-to-Insulator Transition in Antiferromagnetic SrCrO3 Thin Films
S. Jöhr, A. Carta, J. Moreno et al.
Tuning the Coercive Field in Ferroelectric Hf0.5Zr0.5O2-Al2O3 Heterostructures via Interfacial Charge Dynamics
Marshall B. Frye, Chanyoung Kim, Jeong-Woo Sun et al.