2013/07/19 by D. Walgraef, Walgraef, Daniel
Earth and Planetary Sciences · Engineering · Materials Science · #FOS: Physical sciences #Fluid Dynamics and Thin Films #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Pattern Formation and Solitons (nlin.PS) #Solidification and crystal growth phenomena #nanoparticles nucleation surface interactions
paper · pdf · doi:10.48550/arxiv.1307.5214
openalex publication_date 2013/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown how the combination of atomic deposition and nonlinear diffusion may lead, below a critical temperature, to the growth of nonuniform layers on a substrate. The dynamics of such a system is of the Cahn-Hilliard type, supplemented by reaction terms representing adsorption-desorption processes. The instability of uniform layers leads to the formation of nanostructures which correspond to regular spatial variations of substrate coverage. Since coverage inhomogeneities generate internal stresses, the coupling between coverage evolution and film elasticity fields is also considered, for film thickness below the critical thickness for misfit dislocation nucleation. It is shown that this coupling is destabilizing and favors nanostructure formation. It also favors square planforms which could compete, and even dominate over the haxagonal or stripe nanostructures induced by coverage dynamics alone