Jump processes in surface diffusion

Antczak, Grażyna; Ehrlich, Gert

doi:10.1016/j.surfrep.2006.12.001

Cited by 185 publications

(141 citation statements)

References 122 publications

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“…Atomic diffusion has been studied for a long time as one of the fundamental processes governing the surface physics [1][2][3][4][5][6]. For example, the diffusion of atoms is responsible for epitaxial growth of atomic layers, formation of islands, chains, and other nanostructures or chemical reactions.…”

Section: Introductionmentioning

confidence: 99%

Surface diffusion of Pb atoms on the Si(553)-Au surface in narrow quasi-one-dimensional channels

et al. 2014

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The one-dimensional diffusion of individual Pb atoms on the Si(553)-Au surface has been investigated by a combination of scanning tunneling microscopy (STM), spectroscopy (STS), and first-principles density functional theory. The obtained results unambiguously prove that the diffusion channels are limited to a narrow region between Au chains and step edges of the surface. Much wider channels observed in STM and STS data have electronic origin and result from an interaction of Pb with surface atoms. The length of the channels is determined by a distance between defects at step edges of the Si(553)-Au surface. The defects can act as potential barriers or potential wells for Pb atoms, depending on their origin.

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Section: Introductionmentioning

confidence: 99%

Surface diffusion of Pb atoms on the Si(553)-Au surface in narrow quasi-one-dimensional channels

et al. 2014

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“…As a rule, the surface diffusion is characterized by low values of the activation barriers and a low friction coefficient [3,4]. Previous research conducted by different authors showed that special diffusion modes, the so-called subdiffusion and hyperdiffusion [5,6] can arise in systems that are characterized by a low kinetic-energy dissipation level.…”

Section: Introductionmentioning

confidence: 99%

Abnormal surface diffusion of particles under the action of an external time-periodic force

Marchenko

Марченко

2014

J. Phys.: Conf. Ser.

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Abstract. This paper delves into the abnormal surface diffusion of particles in an external time-periodic field. The relationship is studied of the surface diffusion enhancement as a function of the amplitude and frequency of external fields. It is shown that the diffusion coefficient can be significantly increased (by several orders of magnitude) by applying external time-periodic fields. The diffusion gain ratio stronglly depends on the surface temperature and on the external field amplitude and frequency.

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“…Given the fact that the mechanisms that take place during the diffusion of Cu on a fcc copper (001) surface are well documented, [24][25][26] they constitute as an ideal reference system. The model we used consists of a diffusing adatom on top of a copper (001) surface made of six consecutive layers of atoms (each layer contains 32 atoms) for a surface area of 14.5 × 14.5Å.…”

Section: B Cu-adatom Diffusionmentioning

confidence: 99%

Uniform-acceptance force-bias Monte Carlo method with time scale to study solid-state diffusion

et al. 2012

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Monte Carlo (MC) methods have a long-standing history as partners of molecular dynamics (MD) to simulate the evolution of materials at the atomic scale. Among these techniques, the uniform-acceptance force-bias Monte Carlo (UFMC) method [G. Dereli, Mol. Simul. 8, 351 (1992)] has recently attracted attention [M. Timonova et al., Phys. Rev. B 81, 144107 (2010)] thanks to its apparent capacity of being able to simulate physical processes in a reduced number of iterations compared to classical MD methods. The origin of this efficiency remains, however, unclear. In this work we derive a UFMC method starting from basic thermodynamic principles, which leads to an intuitive and unambiguous formalism. The approach includes a statistically relevant time step per Monte Carlo iteration, showing a significant speed-up compared to MD simulations. This time-stamped force-bias Monte Carlo (tfMC) formalism is tested on both simple one-dimensional and three-dimensional systems. Both test-cases give excellent results in agreement with analytical solutions and literature reports. The inclusion of a time scale, the simplicity of the method, and the enhancement of the time step compared to classical MD methods make this method very appealing for studying the dynamics of many-particle systems.

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Jump processes in surface diffusion

Cited by 185 publications

References 122 publications

Surface diffusion of Pb atoms on the Si(553)-Au surface in narrow quasi-one-dimensional channels

Surface diffusion of Pb atoms on the Si(553)-Au surface in narrow quasi-one-dimensional channels

Abnormal surface diffusion of particles under the action of an external time-periodic force

Uniform-acceptance force-bias Monte Carlo method with time scale to study solid-state diffusion

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