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The diffraction of fast atoms at grazing incidence on crystal surfaces (GIFAD) was first interpreted only in terms of elastic diffraction from a perfectly periodic rigid surface with atoms fixed at equilibrium position. Recently, a new…

Materials Science · Physics 2022-09-23 Philippe Roncin , Maxime Debiossac , Hanene Oueslati , Fayçal Raouafi

Diffusion is a central phenomenon in almost all fields of natural science revealing microscopic processes from the observation of macroscopic dynamics. Here, we consider the paradigmatic system of a single atom diffusing in a periodic…

We consider a model of a biomembrane with attached proteins. The membrane is represented by a near spherical continuous surface and attached proteins are described as discrete rigid structures which attach to the membrane at a finite number…

Analysis of PDEs · Mathematics 2021-12-14 Charles M. Elliott , Philip J. Herbert

We study numerically the minimum energy path and energy barriers for dislocation nucleation in a two-dimensional atomistic model of strained epitaxial layers on a substrate with lattice misfit. Stress relaxation processes from coherent to…

Materials Science · Physics 2009-11-07 O. Trushin , E. Granato , S. C. Ying , P. Salo , T. Ala-Nissila

We model the phase-space of the kinematic tracers using general, smooth distribution functions to derive a conservative lower bound on the total mass within 150-200 kpc. By approximating the potential as Keplerian, the phase-space…

Astrophysics of Galaxies · Physics 2015-03-19 Łukasz Bratek , Szymon Sikora , Joanna Jałocha , Marek Kutschera

We analyze point defect bulk and surface diffusion near the crystal-vacuum interface and show that bulk diffusion is altered by atomic reactions at the surface-vacuum boundary. A new atomic mechanism for point defect generation and…

Materials Science · Physics 2024-06-12 Sergey Kosolobov

In this paper, a comprehensive examination of the temperature- and bias-dependent diffusion regimes of underdamped Brownian particles is presented. A temperature threshold for a transition between anomalous and normal diffusive behaviors is…

Statistical Mechanics · Physics 2021-11-16 Trey Jiron , Marygrace Prinster , Jarrod Schiffbauer

In vivo measurements of the passive movements of biomolecules or vesicles in cells consistently report ''anomalous diffusion'', where mean-squared displacements scale as a power law of time with exponent $\alpha< 1$ (subdiffusion). While…

Quantitative Methods · Quantitative Biology 2014-01-27 Hugues Berry , Hugues Chaté

Dynamics near the surface of glasses is generally much faster than in the bulk. Neglecting static perturbations of structure at the surface, we use random first order transition theory to show the free energy barrier for activated motion…

Soft Condensed Matter · Physics 2009-11-13 Jacob D. Stevenson , Peter G. Wolynes

In seeking to understand at a microscopic level the response of dislocations to stress we have undertaken to study as completely as possible the simplest case: a single dislocation in a two dimensional crystal. The intention is that results…

Materials Science · Physics 2007-05-23 N. Bailey , J. Sethna , C. Myers

The diffusivity of Ga and Al adatoms on the (2x4) reconstructed GaAs(001) surface are evaluated using detailed ab initio total energy calculations of the potential energy surface together with transition state theory. A strong diffusion…

mtrl-th · Physics 2008-02-03 A. Kley , M. Scheffler

Using a simple atomistic model of anharmonic nearest-neighbors interaction, we have calculated the step energies of strained hexagonal monolayer islands. These have been found to decrease with the absolute value of the misfit due to the…

Materials Science · Physics 2015-06-17 J. E. Prieto , I. Markov

We report on molecular dynamics simulations of the atomic structure and diffusion processes at Al(110)/Si(001) interphase boundary created by simulated vapor deposition of Al(Si) alloy onto Si(001) substrate. An array of parallel misfit…

Materials Science · Physics 2024-12-31 Yang Li , Yuri Mishin

The role played by a kinetic barrier originated by out-of-plane step edge diffusion, introduced in [Leal \textit{et al.}, \href{https://doi.org/10.1088/0953-8984/23/29/292201}{J. Phys. Condens. Matter \textbf{23}, 292201 (2011)}], is…

Statistical Mechanics · Physics 2019-04-24 Anderson J. Pereira , Sidiney G. Alves , Silvio C. Ferreira

We present a model for diffusion in a molecularly crowded environment. The model consists of random barriers in percolation network. Random walks in the presence of slowly moving barriers show normal diffusion for long times, but anomalous…

Subcellular Processes · Quantitative Biology 2007-06-06 Dietrich Stauffer , Christian Schulze , Dieter W. Heermann

We report an experimental, numerical and theoretical study of the motion of a ball on a rough inclined surface. The control parameters are $D$, the diameter of the ball, $\theta$, the inclination angle of the rough surface and $E_{ki}$, the…

Soft Condensed Matter · Physics 2009-10-30 C. Henrique , M. A. Aguirre , A. Calvo , I. Ippolito , S. Dippel , G. G. Batrouni , D. Bideau

Diffusion of molecules in cells plays an important role in providing a biological reaction on the surface by finding a target on the membrane surface. The water retardation (slow diffusion) near the target assists the searching molecules to…

Statistical Mechanics · Physics 2015-09-02 Takuma Akimoto , Kazuhiko Seki

In one-dimension, the diffusion of particles along a line is slowed by the addition of energy barriers. The same is true in two-dimensions, provided that the confining channel in which the particles move doesn't change shape. However, if…

Statistical Mechanics · Physics 2022-06-08 Thomas Gray , Claudio Castelnovo , Ee Hou Yong

Energetic particles spectra at interplanetary shocks often exhibit a power law within a narrow momentum range softening at higher energy. We introduce a transport equation accounting for particle acceleration and escape with diffusion…

High Energy Astrophysical Phenomena · Physics 2021-03-10 Federico Fraschetti

We consider the growth of a vicinal crystal surface in the presence of a step-edge barrier. For any value of the barrier strength, measured by the length l_es, nucleation of islands on terraces is always able to destroy asymptotically…

Statistical Mechanics · Physics 2007-05-23 Daniele Vilone , Claudio Castellano , Paolo Politi