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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

We develop a theory of nucleation on top of two-dimensional islands bordered by steps with an additional energy barrier $\Delta E_S$ for descending atoms. The theory is based on the concept of the residence time of an adatom on the…

Materials Science · Physics 2007-05-23 Joachim Krug , Paolo Politi , Thomas Michely

Nucleation on top of two-dimensional islands with step edge barriers is investigated using scaling arguments. The nucleation rate is expressed in terms of three basic time scales: The time interval between deposition events, the residence…

Materials Science · Physics 2009-10-31 Joachim Krug

We consider a model for random deposition of monomers on a line with extrinsic precursor states. As the adsorbate coverage increases, the system develops non-trivial correlations due to the diffusion mediated deposition mechanism. In a…

Condensed Matter · Physics 2009-10-28 Joao A. N. Filipe , Geoff J. Rodgers

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

We consider the influence of realistic island diffusion rates to homoepitaxial growth on metallic surfaces using a recently developed rate equation model which describes growth in the submonolayer regime with hyperthermal deposition. To…

Materials Science · Physics 2015-06-25 M. O. Jahma , M. Rusanen , A. Karim , I. T. Koponen , T. Ala-Nissila , T. S. Rahman

We study the nucleation and growth of flame fronts in slow combustion. This is modeled by a set of reaction-diffusion equations for the temperature field, coupled to a background of reactants and augmented by a term describing random…

Statistical Mechanics · Physics 2015-06-25 Mikko Karttunen , Nikolas Provatas , Tapio Ala-Nissila , Martin Grant

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

We develop a method to compute thermally-mediated transition rates between the ground state and long-lived isomers in nuclei. We also establish criteria delimiting a thermalization temperature above which a nucleus may be considered a…

High Energy Astrophysical Phenomena · Physics 2020-12-23 G. Wendell Misch , Surja K. Ghorui , Projjwal Banerjee , Yang Sun , Matthew R. Mumpower

We develop a theory for nucleation on top of islands in epitaxial growth based on the derivation of lifetimes and rates governing individual microscopic processes. These processes are strongly affected by the additional step edge barrier…

Materials Science · Physics 2009-10-31 S. Heinrichs , J. Rottler , Ph. Maass

We study a simplified model for pulsed laser deposition [Phys. Rev. Lett. {\bf 87}, 135701 (2001)] by rate equations. We consider a set of equations, where islands are assumed to be point-like, as well as an improved one that takes the size…

Statistical Mechanics · Physics 2008-04-23 A. C. Barato , H. Hinrichsen , D. E. Wolf

We consider two sequential models of deposition and aggregation for particles. The first model (No Diffusion) simulates surface diffusion through a deterministic capture area, while the second (Sequential Diffusion) allows the atoms to…

Materials Science · Physics 2007-05-23 Daniele Vilone , Claudio Castellano , Paolo Politi

Nuclear isomers are populated in the rapid neutron capture process (r process) of nucleosynthesis. The r process may cover a wide range of temperatures, potentially starting from several tens of GK (several MeV) and then cooling as material…

High Energy Astrophysical Phenomena · Physics 2021-03-18 G. Wendell Misch , Trevor M. Sprouse , Matthew R. Mumpower , Aaron Couture , Chris L. Fryer , Bradley S. Meyer , Yang Sun

The growth and ordering of a Pb layer deposited on Cu(001) at 150 K has been studied using atom beam scattering. At low coverage, ordered Pb islands with a large square unit cell and nearly hexagonal internal structure are formed. This is a…

Condensed Matter · Physics 2009-10-22 Wei Li , Gianfranco Vidali , Ofer Biham

Many fast supernova remnant shocks show spectra dominated by Balmer lines. The H$\alpha$ profiles have a narrow component explained by direct excitations and a thermally Doppler broadened component due to atoms that undergo charge exchange…

High Energy Astrophysical Phenomena · Physics 2015-05-27 John C. Raymond , J. Vink , E. A. Helder , A. de Laat

We compute the dynamical prefactor in the nucleation rate of bubbles or droplets in first order phase transitions for the case where both viscous damping and thermal dissipation are significant. This result, which generalizes previous work…

High Energy Physics - Phenomenology · Physics 2009-10-22 Raju Venugopalan , Axel Vischer

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

We study statistical properties of the Kolmogorov-Avrami-Johnson-Mehl nucleation-and-growth model in one dimension. We obtain exact results for the gap density as well as the island distribution. When all nucleation events occur…

Condensed Matter · Physics 2009-10-28 E. Ben-Naim , P. L. Krapivsky

The density profile of a hot nuclear system produced in intermediate energy heavy ion collisions is studied in a microcanonical formulation with a momentum and density dependent finite range interaction. The caloric curve and the density…

Nuclear Theory · Physics 2008-11-26 S. K. Samaddar , J. N. De , X. Vinas , M. Centelles

Point island models (PIMs) are presented for the formation of supported nanoclusters (or islands) during deposition on flat crystalline substrates at lower submonolayer coverages. These models treat islands as occupying a single adsorption…

Mesoscale and Nanoscale Physics · Physics 2016-07-07 Y. Han , E. Gaudry , T. J. Oliveira , J. W. Evans
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