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Related papers: Submonolayer Epitaxy Without A Critical Nucleus

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We perform a comprehensive study of the formation of three dimensional (pyramidal) structures in a large range of conditions, including the possible evaporation of adatoms from the surface and the presence of surface defects. We compare our…

Materials Science · Physics 2016-08-16 Pablo Jensen , Hernán Larralde , Muriel Meunier , Alberto Pimpinelli

Segregation of group-III elements during the molecular-beam epitaxy growth of III-V compounds leads to a non-abrupt interface. The composition asymmetry in the structures such as quantum wells, quantum dots, and superlattices, in turn,…

Materials Science · Physics 2018-01-03 M. Arjomandi , P. Hosseinzadeh , S. Dadgostar , V. R. Yazdanpanah , S. Mirzakuchaki

Aqueous foams and a wide range of related systems are believed to coarsen by gas diffusion between neighboring domains into a statistically self-similar scaling state, after the decay of initial transients, such that dimensionless size and…

Soft Condensed Matter · Physics 2023-09-19 Anthony T. Chieco , Douglas J. Durian

We perform Monte Carlo simulations on stochastic models such as the Wolf-Villain (WV) model and the Family model in a modified version to measure mean separation $\ell$ between islands in submonolayer regime and damping time $\tilde t$ of…

Statistical Mechanics · Physics 2009-10-31 S. Park , H. Jeong , B. Kahng

The critical radius of a core-shell-type nucleus grown by diffusion in a phase-separated solution is studied. A {\it kinetic} critical radius rather than the {\it thermodynamic} critical radius of standard classical nucleation theory can be…

Statistical Mechanics · Physics 2017-05-24 Masao Iwamatsu

Analytical approaches describing non-Fickian diffusion in complex systems are presented. The corresponding methods are applied to the study of statistical properties of pyramidal islands formation with interacting adsorbate at epitaxial…

Mesoscale and Nanoscale Physics · Physics 2014-10-16 D. O. Kharchenko , V. O. Kharchenko , S. V. Kokhan

The coarsening dynamics of three-dimensional islands on a growing film is discussed. It is assumed that the origin of the initial instability of a planar surface is the Ehrlich-Schwoebel step-edge barrier for adatom diffusion. Two…

Statistical Mechanics · Physics 2015-06-25 Lei-Han Tang

The conditions in the protoplanetary disc are determinant for the various planet formation mechanisms. We present a framework which combines self-consistent disc structures with the calculations of the growth rates of planetary embryos via…

Earth and Planetary Astrophysics · Physics 2021-06-23 Sofia Savvidou , Bertram Bitsch

We present a fast Monte-Carlo algorithm for simulating epitaxial surface growth, based on the continuous-time Monte-Carlo algorithm of Bortz, Kalos and Lebowitz. When simulating realistic growth regimes, much computational time is consumed…

Materials Science · Physics 2009-11-11 J. P. DeVita , L. M. Sander , P. Smereka

Surface catalytic processes produce, under certain conditions, small clusters of adsorbed atoms or groups, called {\em islands} which, after they have been formed, move as individual entities. Here we consider the catalytic reduction of NO…

Condensed Matter · Physics 2007-05-23 N. Kruse , C. Voss , V. Medvedev , C. Bodenstein , D. Hanon , J. P. Boon

The epitaxial growth conditions for silicon on germanium substrates were investigated as a function of growth temperature and monolayer coverage. Island formation was observed for the hole studied temperature range, although strong alloying…

Materials Science · Physics 2009-11-11 D. Pachinger , H. Lichtenberger und F. Schaeffler

A two-electron one-dimensional model of a heteroatomic molecule composed of two open-shell atoms is considered. Including only two electrons isolates and examines the effect that the highest occupied molecular orbital has on the Kohn-Sham…

Materials Science · Physics 2010-03-22 David G. Tempel , Todd J. Martinez , Neepa T. Maitra

We study the islands and the Page curve in the 1+1-dimensional eternal dilaton black hole models. Without islands, the entanglement entropy of the radiation grows linearly at late time. However with an island, its growth stops at the value…

High Energy Physics - Theory · Physics 2020-08-26 Takanori Anegawa , Norihiro Iizuka

In low-temperature pulsed growth two-dimensional islands form and coarsen into ~10 nm features. The islands produce well-defined displaced x-ray diffraction peaks due to relaxation of anisotropic surface stress of the (2x1) reconstruction…

Materials Science · Physics 2015-05-20 Lan Zhou , Yiping Wang , Minghao Li , Randall L. Headrick

Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a two-dimensional system of particles with two bonding sites that, by decreasing temperature or increasing density, polymerize…

Statistical Mechanics · Physics 2010-10-14 L. G. López , D. H. Linares , A. J. Ramirez-Pastor , S. A. Cannas

We use visibility graphs as a tool to analyse the results of kinetic Monte Carlo (kMC) simulations of submonolayer deposition in a one-dimensional point island model. We introduce an efficient algorithm for the computation of the visibility…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Damien Allen , Michael Grinfeld , Paul Mulheran

We propose a novel island nucleation and growth model explicitly including transient (ballistic) mobility of the monomers deposited at rate $F$, assumed to be in a hot precursor state before thermalizing. In limiting regimes, corresponding…

Mesoscale and Nanoscale Physics · Physics 2015-01-12 Josue R. Morales-Cifuentes , T. L. Einstein , A. Pimpinelli

The inertial sliding of physisorbed submonolayer islands on crystal surfaces contains unexpected information on the exceptionally incommensurate smooth sliding state associated with superlubricity and on the mechanisms of its disappearance.…

Nucleation in the two-dimensional q-state Potts model has been studied by means of Monte-Carlo simulations using the heat-bath dynamics. The initial metastable state has been prepared by magnetic quench of the ordered low-temperature phase.…

Statistical Mechanics · Physics 2009-11-07 S. B. Rutkevich

For growing inhomogeneous thin films with an island nanostructure similar as observed in experiment, we determine the nonequilibrium and equilibrium remanent magnetization. The single-island magnetic anisotropy, the dipole coupling, and the…

Statistical Mechanics · Physics 2009-11-07 R. Brinzanik , P. J. Jensen , K. H. Bennemann