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Related papers: Effect of kink-rounding barriers on step edge fluc…

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The temporal evolution of step-edge fluctuations under electromigration conditions is analysed using a continuum Langevin model. If the electromigration driving force acts in the step up/down direction, and step-edge diffusion is the…

Materials Science · Physics 2009-11-13 P. J. Rous , T. W. Bole

Energy barriers for different moves of a single Rh adatom in the vicinity of steps on Rh(111) surface are studied with molecular statics. Interatomic interactions are modeled by the semi-empirical many-body Rosato-Guillope-Legrand…

Materials Science · Physics 2016-08-31 F. Maca , M. Kotrla , O. S. Trushin

We analyze correlations in step-edge fluctuations using the Bortz-Kalos-Lebowitz kinetic Monte Carlo algorithm, with a 2-parameter expression for energy barriers, and compare with our VT-STM line-scan experiments on spiral steps on Pb(111).…

Statistical Mechanics · Physics 2009-10-27 F. Szalma , D. B. Dougherty , M. Degawa , Ellen D. Williams , Michael I. Haftel , T. L. Einstein

We performed molecular statics calculations of energy barriers for adatom moves in the vicinity of steps on Pt(111) surface. We used the semi-empirical many-body Rosato--Guillope--Legrand potential and we systematically calculated barriers…

Materials Science · Physics 2007-05-23 F. Maca , M. Kotrla , O. S. Trushin

The meander instability of a vicinal surface growing under step flow conditions is studied within a solid-on-solid model. In the absence of edge diffusion the selected meander wavelength agrees quantitatively with the continuum linear…

Statistical Mechanics · Physics 2009-11-07 Jouni Kallunki , Joachim Krug , Miroslav Kotrla

Isolated kinks on thermally fluctuating (1/2)<111> screw, <100> edge and (1/2)<111> edge dislocations in bcc iron are simulated under zero stress conditions using molecular dynamics (MD). Kinks are seen to perform stochastic motion in a…

Materials Science · Physics 2013-02-26 T. D. Swinburne , S. L. Dudarev , S. P. Fitzgerald , M. R. Gilbert , A. P. Sutton

We study the dynamics of adatoms in a model of vicinal (11m) fcc metal surfaces. We examine the role of different diffusion mechanisms and their implications to surface growth. In particular, we study the effect of steps and kinks on adatom…

Condensed Matter · Physics 2009-10-28 J. Merikoski , T. Ala-Nissila

In the present study the interaction of a sine-Gordon kink with a localized inhomogeneity is considered. In the absence of dissipation, the inhomogeneity considered is found to impose a potential energy barrier. The motion of the kink for…

Pattern Formation and Solitons · Physics 2025-02-14 Jacek Gatlik , Tomasz Dobrowolski , Panayotis G. Kevrekidis

The steps at the crystal surfaces could be transparent for the migrating adatoms. In the case of significant transparency the velocity of a given step in a given moment is affected by detachment of atoms from rather distant steps in rather…

Other Condensed Matter · Physics 2008-10-15 Bogdan Ranguelov , Stoyan Stoyanov

We study the behavior of single atoms on an infinite vicinal surface assuming certain degree of step permeability. Assuming complete lack of re-evaporation an ruling out nucleation the atoms will inevitably join kink sites at the steps but…

Other Condensed Matter · Physics 2018-02-14 Bogdan Ranguelov , Ivan Markov

Employing time-dependent projection formalism, a Fokker-Planck equation with non-Markovian transport coefficients is derived for large amplitude collective motion. Properties of transport coefficients for diffusion processes in a potential…

Nuclear Theory · Physics 2007-05-23 Noboru Takigawa , Sakir Ayik , Sachie Kimura

We report the results of analytic and numerical investigations of the time scale of survival or non-zero-crossing probability $S(t)$ in equilibrium step fluctuations described by Langevin equations appropriate for attachment/detachment and…

Statistical Mechanics · Physics 2007-05-23 C. Dasgupta , M. Constantin , S. Das Sarma , Satya N. Majumdar

In this work, the effect of fluctuations in a disordered square lattice on diffusion of a test particle is studied using kinetic Monte Carlo simulations. Diffusion is relevant to a wide variety of problems, both within physics and outside…

Statistical Mechanics · Physics 2016-04-15 Robbert-Jan Dikken , Casper D. Versteylen

We consider the generalization of the Kramers escape over a barrier problem to the case of a long chain molecule. It involves the motion of chain molecule of N segments across a region where the free energy per segment is higher, so that it…

Soft Condensed Matter · Physics 2009-10-31 K. L. Sebastian

Direct correlation between temporal structural fluctuations and electron wind force is demonstrated, for the first time, by STM imaging and analysis of atomically-resolved motion on a thin film surface under large applied current (10e5…

Materials Science · Physics 2007-05-23 O. Bondarchuk , W. G. Cullen , M. Degawa , Ellen D. Williams

We analyze the diffusive motion of kink solitons governed by the thermal sine-Gordon equation. We analytically calculate the correlation function of the position of the kink center as well as the diffusion coefficient, both up to…

Statistical Mechanics · Physics 2009-10-31 Niurka R. Quintero , Angel Sanchez , Franz G. Mertens

The properties of condensed matter are determined by single-particle and collective excitations and their interactions. These quantum-mechanical excitations are characterized by an energy E and a momentum \hbar k which are related through…

Strongly Correlated Electrons · Physics 2007-05-23 K. Byczuk , M. Kollar , K. Held , Y. -F. Yang , I. A. Nekrasov , Th. Pruschke , D. Vollhardt

We propose algorithms for determining both lower and upper bounds for the energy barriers encountered by a flux line in moving through a two-dimensional random potential. Analytical arguments, supported by numerical simulations, suggest…

Condensed Matter · Physics 2016-08-31 Lev V. Mikheev , Barbara Drossel , Mehran Kardar

Quantum vacuum fluctuations of the electromagnetic field in empty space seem not to produce observable effects over the motion of a charged test particle. However, when a change in the background vacuum state is implemented, as for instance…

High Energy Physics - Theory · Physics 2020-02-11 V. A. De Lorenci , C. C. H. Ribeiro

The surface diffusion of Cu adatoms in the presence of an adisland at FCC or HCP sites on Cu(111) is studied using the EAM potential derived by Mishin {\it et al.} [Phys. Rev. B {\bf 63} 224106 (2001)]. The diffusion rates along straight…

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