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The effects of a surfactant on two-dimensional pattern formation in epitaxial growth are explored theoretically using a simple model, in which an adatom becomes immobile only after overcoming a large energy barrier as it exchanges positions…

Condensed Matter · Physics 2016-08-31 Bang-Gui Liu , Jing Wu , E. G. Wang , Zhenyu Zhang

We combined in-situ scanning tunneling microscopy (STM) with the conventional growth characterization methods of atomic force microscopy (AFM) and reflection high energy electron diffraction (RHEED) to simultaneously assess atomic-scale…

We consider closed immersed hypersurfaces evolving by surface diffusion flow, and perform an analysis based on local and global integral estimates. First we show that a properly immersed stationary (\Delta H \equiv 0) hypersurface in \R^3…

Differential Geometry · Mathematics 2013-03-12 Glen Wheeler

Atomically sharp epitaxial growth of Bi2Se3 films is achieved on Si (111) substrate with MBE (Molecular Beam Epitaxy). Two-step growth process is found to be a key to achieve interfacial-layer-free epitaxial Bi2Se3 films on Si substrates.…

Numerous studies have focused on a low surface energy coating and a micro/nanoscale surface texture to design functional surfaces that delay frost formation and reduce ice adhesion. However, the scientific challenges for in developing…

Applied Physics · Physics 2019-04-16 Yuehan Yao , Emma Feldman , Kyoo-Chul Park

We derive a set of algorithms for simulating the diffusion-limited growth of faceted crystals using local cellular automata. This technique has been shown to work well in reproducing realistic crystal morphologies, and the present work…

Materials Science · Physics 2008-07-17 Kenneth G. Libbrecht

We report the results of computer simulations of epitaxial growth in the presence of a large Schwoebel barrier on different crystal surfaces: simple cubic(001), bcc(001), simple hexagonal(001) and hcp(001). We find, that mounds coarse by a…

Statistical Mechanics · Physics 2009-10-31 M. Ahr , M. Biehl , M. Kinne , W. Kinzel

The growth of a rough and porous thin surface by deposition of randomly shaped clusters with different sizes over an initially flat linear substrate is simulated, using Monte Carlo technique. Unlike the ordinary Random Deposition, our…

Mesoscale and Nanoscale Physics · Physics 2012-11-09 ZH. Ebrahiminejad , Seyed Farhad Masoudi , R. S. Dariani , Saeed S. Jahromi

Atherosclerosis is characterised by the growth of fatty plaques in the inner (intimal) layer of the artery wall. In mature plaques, vascular smooth muscle cells (SMCs) are recruited from the adjacent medial layer to deposit a cap of fibrous…

Cell Behavior · Quantitative Biology 2019-08-09 Michael G. Watson , Helen M. Byrne , Charlie Macaskill , Mary R. Myerscough

Conserved growth models that exhibit a nonlinear instability in which the height (depth) of isolated pillars (grooves) grows in time are studied by numerical integration and stochastic simulation. When this instability is controlled by the…

Statistical Mechanics · Physics 2009-11-07 B. Chakrabarti , C. Dasgupta

We point out how geometric features affect the scaling properties of non-equilibrium dynamic processes, by a model for surface growth where particles can deposit and evaporate only in dimer form, but dissociate on the surface. Pinning…

Statistical Mechanics · Physics 2009-10-31 Jae Dong Noh , Hyunggyu Park , Marcel den Nijs

Controlling bacterial surface adhesion and subsequent biofilm formation in fluid systems is crucial for the safety and efficacy of medical and industrial processes. Here, we theoretically examine the transport of bacteria close to surfaces,…

Soft Condensed Matter · Physics 2025-07-08 Edwina F. Yeo , Benjamin J. Walker , Philip Pearce , Mohit P. Dalwadi

In this paper we address some modelling issues related to biological growth. Our treatment is based on a recently-proposed, general formulation for growth within the context of Mixture Theory (Journal of the Mechanics and Physics of Solids,…

Tissues and Organs · Quantitative Biology 2011-11-09 H. Narayanan , E. M. Arruda , K. Grosh , K. Garikipati

The flow of viscous fluids is considered as the aggregation of the motion of fluid particles when the fluid is conceived to be made up by an infinite number of particles. As an alternative of this conventional model, fluid motion could be…

Fluid Dynamics · Physics 2024-02-07 Wennan Zou , Jian He

The effect of diffusively correlated spatial fluctuations on the proliferation-extinction transition of autocatalytic agents is investigated numerically. Reactants adaptation to spatio-temporal active regions is shown to lead to…

Statistical Mechanics · Physics 2009-11-11 Sasi Moalem , Nadav M. Shnerb

This paper continues a series reporting different aspects of the behaviour of disc galaxy simulations that support spiral instabilities. The focus in this paper is to demonstrate how linear spiral instabilities saturate and decay, and how…

Astrophysics of Galaxies · Physics 2023-03-08 J A Sellwood , R G Carlberg

For cylindrical differentially rotating plasmas, we study large-scale magnetic field generation from finite amplitude non-axisymmetric perturbations by comparing numerical simulations with quasi-linear analytic theory. When initiated with a…

High Energy Astrophysical Phenomena · Physics 2016-10-31 F. Ebrahimi , E. G. Blackman

An analytical soluble model based on a Continuous Time Random Walk (CTRW) scheme for the adsorption-desorption processes at interfaces, called bulk-mediated surface diffusion, is presented. The time evolution of the effective probability…

Condensed Matter · Physics 2009-11-10 Jorge A. Revelli , Carlos. E. Budde , Domingo Prato , Horacio S. Wio

We present N-body simulations of unstable spiral modes in a dynamically cool collisionless disc. We show that spiral modes grow in a thin collisionless disk in accordance with the analytical perturbation theory. We use the particle-mesh…

Astrophysics · Physics 2009-11-13 A. V. Khoperskov , A. Just , V. I. Korchagin , M. A. Jalali

We study, through large scale stochastic simulations using the noise reduction technique, a large number of simple nonequilibrium limited mobility solid-on-solid growth models. We find that d=2+1 dimensional surface growth in several noise…

Statistical Mechanics · Physics 2007-05-23 P. Punyindu , Z. Toroczkai , S. Das Sarma