English
Related papers

Related papers: Scaling regimes for second layer nucleation

200 papers

The scaling of island and monomer density, capture zone distributions (CZDs), and island size distributions (ISDs) in reversible submonolayer growth was studied using the Clarke-Vvedensky model. An approach based on rate-equation results…

Statistical Mechanics · Physics 2013-06-28 T. J. Oliveira , F. D. A. Aarao Reis

A scaling theory is developed for diffusion-limited cluster aggregation in a porous medium, where the primary particles and clusters stick irreversibly to the walls of the pore space as well as to each other. Three scaling regimes are…

Soft Condensed Matter · Physics 2009-11-13 Patrick B. Warren

The monomer surface mobility is the single most important parameter that decides the nucleation density and morphology of islands during thin film growth. During template-assisted surface growth in particular, low surface mobilities can…

Soft Condensed Matter · Physics 2016-11-23 Chandan K Mishra , A K Sood , Rajesh Ganapathy

We consider the diffusion-controlled annihilation dynamics $A+B\to 0$ with equal species diffusivities in the system where an island of particles $A$ is surrounded by the uniform sea of particles $B$. We show that once the initial number of…

Statistical Mechanics · Physics 2009-11-10 Boris M. Shipilevsky

We investigate the influence of intermixing on heteroepitaxial growth dynamics, using a two-dimensional point island model, expected to be a good approximation in the early stages of epitaxy. In this model, which we explore both…

Statistical Mechanics · Physics 2015-06-22 K. I. Mazzitello , L. M. Delgado , J. L. Iguain

Based on the coalescence model, we analyse the light-nuclei production near the critical point by expanding the phase-space distribution function $f(\mathbf{r},\mathbf{p})$ in terms of the phase-space cumulants $\sim \langle r^m…

Nuclear Theory · Physics 2022-10-17 Shanjin Wu , Koichi Murase , Huichao Song

It is known in thin-film deposition that the density of nucleated clusters $N$ varies with the deposition rate $R$ as a power law, $N \sim R^\alpha$. The exponent $\alpha$ is a function of the critical nucleus size $i$ in a way that changes…

Materials Science · Physics 2013-12-19 Alberto Pimpinelli , Levent Tumbek , Adolf Winkler

The freezing/melting transition is at the heart of many natural and industrial processes. In the classical picture, the transition proceeds via the nucleation of the new phase, which has to overcome a barrier associated to the free energy…

Soft Condensed Matter · Physics 2024-08-28 Patrice Porion , Joël Puibasset

We study random sequential adsorption of particles from pool onto a one dimensional substrate following ballistic deposition rules, with separate nucleation and growth processes occurring simultaneously. Nucleation describes the formation…

Statistical Mechanics · Physics 2019-12-10 A. Khanam , J. A. D. Wattis , M. K. Hassan

We study the dislocation formation in 2D nanoscopic islands with two methods, the Molecular Static method and the Phase Field Crystal method. It is found that both methods indicate the same qualitative stages of the nucleation process. The…

Materials Science · Physics 2008-12-04 J. Jalkanen , O. Trushin , K. Elder , E. Granato , S. C. Ying , T. Ala-Nissila

A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of "maximization" of the perimeter. At a discrete level, the evolution has a "checkerboard" structure and its…

Analysis of PDEs · Mathematics 2021-10-27 Andrea Braides , Giovanni Scilla , Antonio Tribuzio

We have studied the approach to equilibrium of islands and pores in two dimensions. The two-regime scenario observed when islands evolve according to a set of particular rules, namely relaxation by steps at low temperature and smooth at…

Materials Science · Physics 2009-11-10 Jose L. Iguain , Laurent J. Lewis

Nucleation phenomena are ubiquitous in nature and the presence of impurities in every real and experimental system is unavoidable. Yet numerical studies of nucleation are nearly always conducted for entirely pure systems. We have studied…

Statistical Mechanics · Physics 2021-08-11 Dipanjan Mandal , David Quigley

The classical nucleation theory (CNT) concept of a nucleus as a fragment of the bulk new phase fails for nanosized nuclei. An extension of CNT taking into account the properties of the transition region between coexisting bulk phases is…

Chemical Physics · Physics 2017-06-09 Nikolay V. Alekseechkin

A general theory of nucleation for colloids and macromolecules in solution is formulated within the context of fluctuating hydrodynamics. A formalism for the determination of nucleation pathways is developed and stochastic differential…

Soft Condensed Matter · Physics 2012-01-23 James F. Lutsko

A model that describes self diffusion, island nucleation and film growth on FCC(001) metal substrates is presented. The parameters of the model are optimized to describe Cu diffusion on Cu(001), by comparing activation energy barriers to a…

Materials Science · Physics 2008-02-03 O. Biham , I. Furman , M. Karimi , G. Vidali , R. Kennett , H. Zeng

A model of submonolayer thin film growth is studied, where the attachment of atoms to island edges is hindered by an energy barrier. A novel behavior of the density of islands, N_s, is predicted as a function of flux F and temperature T.…

Materials Science · Physics 2009-10-31 Daniel Kandel

The effects of adsorbates on nucleation and growth of two-dimensional islands is investigated by kinetic Monte Carlo simulations and rate equation theory. The variation of island morphology with adsorbate parameters is discussed and the…

Materials Science · Physics 2007-05-23 Miroslav Kotrla , Joachim Krug , Pavel Smilauer

Al-induced layer exchange crystallization of amorphous Ge thin films has been demonstrated recently, and provides a suitable system to characterize, model and control Ge crystal growth on non-crystalline substrates. Direct observation of Ge…

Materials Science · Physics 2010-10-12 Shu Hu , Paul C. McIntyre

A recent description of diffusion-limited nucleation based on fluctuating hydrodynamics that extends classical nucleation theory predicts a very non-classical two-step scenario whereby nucleation is most likely to occur in…

Soft Condensed Matter · Physics 2015-06-04 James F. Lutsko