Colloquium: Cluster growth on surfaces: Densities, <?format ?>size distributions, and morphologies

M Einax, W Dieterich, P Maass - Reviews of modern physics, 2013 - APS
Understanding and control of cluster and thin-film growth on solid surfaces is a subject of
intensive research to develop nanomaterials with new physical properties. In this …

Formation and properties of metallic atomic chains and wires

AG Syromyatnikov, SV Kolesnikov, AM Saletsky… - Physics …, 2021 - iopscience.iop.org
We discuss the current state of a promising area of modern physics, the study of the physical
properties of metal nanowires and atomic chains. One-dimensional nanostructures are …

Capture numbers and island size distributions in models of submonolayer surface growth

M Körner, M Einax, P Maass - Physical Review B—Condensed Matter and …, 2012 - APS
The capture numbers entering the rate equations (RE) for submonolayer film growth are
determined from extensive kinetic Monte Carlo (KMC) simulations for simple representative …

Growth-rate dependence of the structural transition of bismuth islands on Si (111) substrates

R Ushioda, M Shimura, K Nakatsuji, H Hirayama - Physical Review Materials, 2022 - APS
During the growth of ultrathin Bi films, Bi (110) islands with a black phosphorus (BP)-like
structure nucleate initially. These Bi (110) islands reorganize to Bi (111) islands with a …

Analytic scaling function for island-size distributions

VG Dubrovskii, NV Sibirev - Physical Review E, 2015 - APS
We obtain an explicit solution for the island-size distribution described by the rate equations
for irreversible growth with the simplified capture rates of the form σ s (Θ)∝ Θ p (a+ s− 1) for …

Island size distributions in submonolayer growth: Prediction by mean field theory with coverage dependent capture numbers

M Körner, M Einax, P Maass - Physical Review B—Condensed Matter and …, 2010 - APS
We show that mean field rate equations (MFRE) for submonolayer growth with hit and stick
aggregation can successfully predict the island size distributions (ISDs) in the …

Size distributions, scaling properties, and Bartelt-Evans singularities in irreversible growth with size-dependent capture coefficients

VG Dubrovskii, NV Sibirev - Physical Review B, 2014 - APS
We present a theoretical analysis of the rate equations for irreversible growth with a
monomer influx, desorption, and a power-law dependence of the capture coefficients on the …

Size distributions of fullerene surface clusters

NV Sibirev, VG Dubrovskii, AV Matetskiy… - Applied surface …, 2014 - Elsevier
We present an exactly solvable generalization of the rate equation model for irreversible
growth with size-independent capture numbers which includes desorption of monomers. It is …

The early stage of formation of self-organized nanocolumns in thin films: Monte Carlo simulations versus atomic-scale observations in Ge-Mn

I Mouton, E Talbot, C Pareige, R Lardé… - Journal of Applied …, 2014 - pubs.aip.org
Formation kinetics of self-organized nanocolumns during epitaxial growth of a thin film
composed of immiscible elements (A, B) has been investigated using Kinetic Monte Carlo …

Analytic form of the size distribution in irreversible growth of nanoparticles

VG Dubrovskii - Physical Review E, 2019 - APS
We study theoretically the size distributions of nanoparticles (surface islands, droplets,
molecular chains, and semiconductor nanowires) which grow without decay and with …