On the theory of anisotropy of crystalline surface tension

Gruber, E.E.; Mullins, W. W.

doi:10.1016/0022-3697(67)90017-0

Cited by 353 publications

(165 citation statements)

References 13 publications

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“…which was first derived theoretically for entropic repulsion [21]. The ubiquity of repulsive step-step interactions is well confirmed by experiments, which also show that the dominant contribution to the amplitude g arises from elastic interactions [1,22].…”

Section: Modelmentioning

confidence: 72%

Anticoarsening and complex dynamics of step bunches on vicinal surfaces during sublimation

2010

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A sublimating vicinal crystal surface can undergo a step bunching instability when the attachment-detachment kinetics is asymmetric, in the sense of a normal Ehrlich-Schwoebel effect. Here we investigate this instability in a model that takes into account the subtle interplay between sublimation and step-step interactions, which breaks the volume-conserving character of the dynamics assumed in previous work. On the basis of a systematically derived continuum equation for the surface profile, we argue that the non-conservative terms pose a limitation on the size of emerging step bunches. This conclusion is supported by extensive simulations of the discrete step dynamics, which show breakup of large bunches into smaller ones as well as arrested coarsening and periodic oscillations between states with different numbers of bunches.

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Section: Modelmentioning

confidence: 72%

Anticoarsening and complex dynamics of step bunches on vicinal surfaces during sublimation

2010

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“…In crystalline solids, the boundaries of layers of material, or monatomic step edges, are the dominant source/sink for atomic motion for the surfaces of crystalline solids [1][2][3][4] . In the regime where thermally activated atomic motion is allowed, the steps will change shape with time, or wander 5 .…”

Section: Introductionmentioning

confidence: 99%

Spatial first-passage statistics ofAl∕Si(111)−(3×3)step fluctuations

et al. 2007

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“…On a stepped surface, these fluctuations are limited by step interactions, which originate from entropic or energetic contributions [5]. Simple models [6,7] show that the step behaviour is controlled by two energetic parameters. The amplitude of the fluctuations is determined by the stiffness of an isolated step, which in tum depends on the kink energy, and the intensity of the interaction potential of the steps.…”

Section: Methodsmentioning

confidence: 99%