A model for morphological changes driven by step-step interaction on clean surfaces

Martin, G.; Perraillon, B.

doi:10.1016/0039-6028(77)90189-3

Cited by 18 publications

(7 citation statements)

References 11 publications

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“…The detailed description of the smoothing process and the driving forces controlling the mass transport in smoothing kinetics have been attracting great attention [1][2][3][4][5][6][7][8]. The importance of understanding this phenomenon arises from both practical and fundamental interests such as surface preparation, thin-film growth, and the smoothing transition when a crystal surface is cooled from its roughening temperature.…”

Section: Experimental Study Of Smoothing Kinetics On a Rough Surfacementioning

confidence: 99%

“…The importance of understanding this phenomenon arises from both practical and fundamental interests such as surface preparation, thin-film growth, and the smoothing transition when a crystal surface is cooled from its roughening temperature. So far, many theoretical efforts [1][2][3][4][5][6][7][8] have been devoted to explore this problem with pioneer work by Mullins [1], but experimental tests are lacking. In these theoretical works, two fundamental behaviors have been predicted.…”

Section: Experimental Study Of Smoothing Kinetics On a Rough Surfacementioning

confidence: 99%

“…This line-tension driving force, which is dominant in the step chemical potential [4,6], vanishes for an initial surface morphology such as parallel grooves with essentially straight step edges. In this case, step-step interactions become the driving force for morphological evolution [2,[5][6][7]. The exponent x is shown to be j or J for diffusion-limited or step-attachment-limited step propagation, respectively, in a discrete model [7] and to be y in a continuous model [2].…”

Section: Experimental Study Of Smoothing Kinetics On a Rough Surfacementioning

confidence: 99%

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Experimental study of smoothing kinetics on a rough surface

Zuo

Wendelken

1993

Phys. Rev. Lett.

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The smoothing kinetics of a rough surface have been studied using time-resolved high resolution low energy electron diffraction. By depositing ~100 monolayers of Cu on Cu(lOO) near room temperature, a rough surface results with an initial morphology of multilevel, roughly circular terraces separated by monatomic steps. Upon annealing at elevated temperatures, two growth regimes are distinguished for the average terrace width Lit) versus time t: The earlier one varies as /'^^, consistent with kinetics driven by the line tension of curved step edges, and the later one follows t ^^^. Also, in the t ^^^ growth regime, scaling is observed.

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Section: Experimental Study Of Smoothing Kinetics On a Rough Surfacementioning

confidence: 99%

Section: Experimental Study Of Smoothing Kinetics On a Rough Surfacementioning

confidence: 99%

Section: Experimental Study Of Smoothing Kinetics On a Rough Surfacementioning

confidence: 99%

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Experimental study of smoothing kinetics on a rough surface

Zuo

Wendelken

1993

Phys. Rev. Lett.

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“…'in '" t) and in Ref. 7 (R!.in '" t), and therefore, as noted by Villain in Ref. 10, there are subtleties in the theoretical treatment of the problem.…”

Section: C(r) == ([H(r' + R) -H(r')]2) '" C(t)mentioning

confidence: 93%

“…However, Mullins's theory fails below TR, because the anisotropic surface energy displays cusps at particular angles. This difficulty was addressed by Martin and Perraillon 7 and by Lan~on and Villain, 8 who showed how step structure could be taken into account. Additionally, Monte Carlo simulations showed that the atomistic structure of the surface leads to a number of new subtleties in the smoothing process (see Ref.…”

Section: Introductionmentioning

confidence: 99%

Smoothing of rough surfaces

et al. 1995

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Simulations of surface smoothing (healing) by Langevin dynamics in large systems are reported. The surface model is described by a two-dimensional discrete sine-Gordon (solid-on-solid) equation. We study how initially circular terraces decay in time for both zero and finite temperatures and we compare the results of our simulations with various analytical predictions. We then apply this knowledge to the smoothing of a rough surface obtained by heating an initially flat surface above the roughening temperature and then quenching it. We identify three regimes in terms of their time evolution, which we are able to associate with the resulting terrace morphology. The regimes consists of a short initial stage, during which small scale fluctuations disappear; an intermediate, longer time interval, when evolution can be understood in terms of terraces and their interaction; and a final situation in which almost all terraces have been suppressed. We discuss the implications of our results for modeling rough surfaces.

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Mass Transport by Surface Self-Diffusion

Bonzel

1983

Surface Mobilities on Solid Materials

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A model for morphological changes driven by step-step interaction on clean surfaces

Cited by 18 publications

References 11 publications

Experimental study of smoothing kinetics on a rough surface

Experimental study of smoothing kinetics on a rough surface

Smoothing of rough surfaces

Mass Transport by Surface Self-Diffusion

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