Journal ArticleDOI
Morphological evolution during epitaxial thin film growth: Formation of 2D islands and 3D mounds
TLDR
In this paper, the authors describe submonolayer nucleation and growth of two-dimensional islands during deposition and show that the traditional mean-field treatment is quite successful in capturing the behavior of mean island densities, but it fails to predict island size distributions.About:
This article is published in Surface Science Reports.The article was published on 2006-04-01. It has received 575 citations till now. The article focuses on the topics: Kinetic Monte Carlo.read more
Citations
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The rise of graphene
TL;DR: Owing to its unusual electronic spectrum, graphene has led to the emergence of a new paradigm of 'relativistic' condensed-matter physics, where quantum relativistic phenomena can now be mimicked and tested in table-top experiments.
Journal ArticleDOI
The structure of suspended graphene sheets
Jannik C. Meyer,A. K. Geim,Mikhail I. Katsnelson,Kostya S. Novoselov,Timothy J. Booth,S. Roth +5 more
TL;DR: These studies by transmission electron microscopy reveal that individual graphene sheets freely suspended on a microfabricated scaffold in vacuum or air are not perfectly flat: they exhibit intrinsic microscopic roughening such that the surface normal varies by several degrees and out-of-plane deformations reach 1 nm.
Journal ArticleDOI
The two-dimensional phase of boron nitride: Few-atomic-layer sheets and suspended membranes
TL;DR: In this article, the synthesis of very thin sheets (between a few and ten atomic layers) of hexagonal boron nitride (h-BN), prepared either on a SiO2 substrate or freely suspended, is described.
Journal ArticleDOI
Making waves: Kinetic processes controlling surface evolution during low energy ion sputtering
Wai-Lun Chan,Eric Chason +1 more
TL;DR: A review of different mechanisms that have been proposed and how they fit together in terms of the kinetic regimes in which they dominate is provided in this paper, with a comparison between theory and experiment is used to highlight strengths and weaknesses in their understanding.
References
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Book
Introduction to percolation theory
Dietrich Stauffer,Amnon Aharony +1 more
TL;DR: In this paper, a scaling solution for the Bethe lattice is proposed for cluster numbers and a scaling assumption for cluster number scaling assumptions for cluster radius and fractal dimension is proposed.
Book
Stochastic processes in physics and chemistry
TL;DR: In this article, the authors introduce the Fokker-planck equation, the Langevin approach, and the diffusion type of the master equation, as well as the statistics of jump events.
Book
Methods of Mathematical Physics
Richard Courant,David Hilbert +1 more
TL;DR: In this paper, the authors present an algebraic extension of LINEAR TRANSFORMATIONS and QUADRATIC FORMS, and apply it to EIGEN-VARIATIONS.
Book
Introduction to percolation theory
Dietrich Stauffer,Amnon Aharony +1 more
TL;DR: In this article, a scaling solution for the Bethe lattice is proposed for cluster numbers and a scaling assumption for cluster number scaling assumptions for cluster radius and fractal dimension is proposed.
Stochastic Processes in Physics and Chemistry
Abstract: Preface to the first edition. Preface to the second edition. Abbreviated references. I. Stochastic variables. II. Random events. III. Stochastic processes. IV. Markov processes. V. The master equation. VI. One-step processes. VII. Chemical reactions. VIII. The Fokker-Planck equation. IX. The Langevin approach. X. The expansion of the master equation. XI. The diffusion type. XII. First-passage problems. XIII. Unstable systems. XIV. Fluctuations in continuous systems. XV. The statistics of jump events. XVI. Stochastic differential equations. XVII. Stochastic behavior of quantum systems.