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Related papers: A simple solid-on-solid model of epitaxial thin fi…

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Parallel Molecular Dynamics simulations are conducted for describing growth on surfaces with different kind of roughness: a perfect ordered crystalline flat graphite surface, a disordered rough graphite surface and flat surface with an…

Materials Science · Physics 2007-05-23 Pascal Brault , Guy Moebs

We consider the diffusion and spreading of chainlike molecules on solid surfaces. We first show that the steep spherical cap shape density profiles, observed in some submonolayer experiments on spreading polymer films, imply that the…

Soft Condensed Matter · Physics 2009-10-31 T. Hjelt , S. Herminghaus , T. Ala-Nissila , S. C. Ying

Nb-doped SrTiO$_{3}$ epitaxial thin films have been prepared on (001) SrTiO$_{3}$ substrates using pulsed laser deposition. A high substrate temperature ($>1000^{\circ}{C}$) was found to be necessary to achieve 2-dimensional growth. Atomic…

Superconductivity · Physics 2015-06-25 K. S. Takahashi , D. Jaccard , K. Shibuya , T. Ohnishi , M. Lippmaa , J. -M. Triscone

We study the statistics of the number of executed hops of adatoms at the surface of films grown with the Clarke-Vvedensky (CV) model in simple cubic lattices. The distributions of this number, $N$, are determined in films with average…

Statistical Mechanics · Physics 2020-07-27 Edwin E. Mozo Luis , Ismael S. S. Carrasco , Thiago A. de Assis , Fábio D. A. Aarão Reis

We report the molecular beam epitaxy of Bi_1-xSb_x thin films ($0 \leq x \leq 1$) on (0001) sapphire substrates using a thin (Bi,Sb)$_2$Te$_3$ buffer layer. Characterization of the films using reflection high energy diffraction, x-ray…

In this work, a study of epitaxial growth was carried out by means of wavelets formalism. We showed the existence of a dynamic scaling form in wavelet discriminated linear MBE equation where diffusion and noise are the dominant effects. We…

Materials Science · Physics 2009-11-13 Z. Moktadir

Grain boundary roughness can affect electronic and mechanical properties of two-dimensional materials. This roughness depends crucially on the growth process by which the two-dimensional material is formed. To investigate the key mechanisms…

Materials Science · Physics 2022-04-06 Fabio D. A. Aarão Reis , Bastien Marguet , Olivier Pierre-Louis

Kinetic Monte-Carlo (KMC) simulations are a well-established numerical tool to investigate the time-dependent surface morphology in molecular beam epitaxy (MBE) experiments. In parallel, simplified approaches such as limited mobility (LM)…

Computational Physics · Physics 2019-09-18 Thomas Martynec , Sabine H. L. Klapp

We couple a free solute diffusion model to a model of crystal surface growth represented by, but not limited to, a (2 + 1)-dimensional solid-on-solid (SOS) model confined by a flat surface. We use kinetic Monte Carlo (KMC) with dissolution…

Soft Condensed Matter · Physics 2020-06-03 Jørgen Høgberget , Dag K. Dysthe , Espen Jettestuen

Numerical Simulations are employed to create amorphous nano-films of a chosen thickness on a crystalline substrate which induces strain on the film. The films are grown by a vapor deposition technique which was recently developed to create…

Modeling the spontaneous evolution of morphology in natural systems and its preservation by proportionate growth remains a major scientific challenge. Yet, it is conceivable that if the basic mechanisms of growth and the coupled kinetic…

Soft Condensed Matter · Physics 2020-12-30 Virginia von Streng , Rami Abi-Akl , Bianca Giovanardi , Tal Cohen

In this work, we present an off-lattice Monte Carlo model of accretion and migration of hydrogen atoms on a rough surface of carbon dust grain. The migration of physisorbed atoms by means of thermal diffusion and quantum tunnelling through…

Astrophysics of Galaxies · Physics 2025-10-15 N. A. Satonkin , A. B. Ostrovskii , A. A. Mozhegorov , A. F. Punanova , A. I. Vasyunin

Tear film rupture on the corneal surface plays a critical role in ocular health and visual comfort. Conventional theoretical approaches often idealize the cornea as a perfectly smooth surface, ignoring the surface roughness that are…

Fluid Dynamics · Physics 2026-03-20 Deepak Kumar , S Pushpavanam

We simulate a growth model with restricted surface relaxation process in d=1 and d=2, where d is the dimensionality of a flat substrate. In this model, each particle can relax on the surface to a local minimum, as the Edwards-Wilkinson…

Statistical Mechanics · Physics 2009-11-07 T. J. da Silva , J. G. Moreira

In the present article the diffusion equation is used to model the spatio-temporal dynamics of a tumor, taking into account the heterogeneous of the medium. This approach makes it possible to take into account the complex geometric shape of…

Biological Physics · Physics 2023-02-07 Maxim V. Polyakov , Valeria V. Ten

The scaling behavior of cyclical surface growth (e.g. deposition/desorption), with the number of cycles n, is investigated. The roughness of surfaces grown by two linear primary processes follows a scaling behavior with asymptotic exponents…

Statistical Mechanics · Physics 2009-10-31 Y. Shapir , S. Raychaudhuri , D. G. Foster , J. Jorne

Monte Carlo simulation was carried out to understand the influence of morphological inhomogeneity on carrier diffusion in organic thin films. The morphological inhomogeneity was considered in the simulation by incorporating the regions of…

Materials Science · Physics 2013-10-28 S. Raj Mohan , Manoranjan P. Singh , M. P. Joshi , L. M. Kukreja

In this work, we show the short-time existence of solutions of the evolution equations that represent the solid state dewetting of thin films through evaporation-condensation as a two dimensional sharp interface variational model. The…

Analysis of PDEs · Mathematics 2025-08-12 M. S. Indulekha

We showed that a wetting layer in epitaxially strained thin films which decreases with increasing lattice mismatch strain arises due to the variation of nonlinear elastic free energy with film thickness. We calculated how and at what…

Materials Science · Physics 2007-05-23 Helen R. Eisenberg Daniel Kandel

We present a model for thin film growth by particle deposition that takes into account the possible evaporation of the particles deposited on the surface. Our model focuses on the formation of two-dimensional structures. We find that the…

Materials Science · Physics 2009-10-28 Pablo Jensen , Hernán Larralde , Alberto Pimpinelli