2011
DOI: 10.1143/jpsj.80.074604
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Two-Dimensional Motion of Unstable Steps Induced by Flow in Solution

Abstract: one-dimensional model, so that we were unable to study another type of instability, step wandering. In this research, we use a two-dimensional model to study both step wandering and step bunching. When the flow of solutes is in the step-down direction, a regular array of steps is unstable and bunches of steps are formed. Owing to the step bunching, fluctuations along the steps are enlarged and step wandering is induced. If the direction of flow is opposite, a regular array of steps is stable and step bunching … Show more

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Cited by 3 publications
(7 citation statements)
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“…To study how the roughness of a step changes with impurities, we investigate the time evolution of the width of fluctuation of a step. The width is defined as [13] where N s is the number of steps in one sample, y (i) (x m ) is the position of the ith step at x = x m , andȳ (i) is the average position of the ith step. Figure 3 shows the time evolution of w s with various α.…”
Section: Results Of Simulationmentioning
confidence: 99%
See 1 more Smart Citation
“…To study how the roughness of a step changes with impurities, we investigate the time evolution of the width of fluctuation of a step. The width is defined as [13] where N s is the number of steps in one sample, y (i) (x m ) is the position of the ith step at x = x m , andȳ (i) is the average position of the ith step. Figure 3 shows the time evolution of w s with various α.…”
Section: Results Of Simulationmentioning
confidence: 99%
“…To find the dependence of the behaviors of steps in the late stage on parameters, we investigate the time evolution of the impurity density, w s , and width of terrace width fluctuation, w t , with various parameters. w t is defined as [13] …”
Section: Results Of Simulationmentioning
confidence: 99%
“…In previous studies, 18,19,23) an upper limit of the bunch size exists, and an equidistant array of bunches is formed. In our simulation, however, the limit of the bunch size was not seen and a large single bunch was finally formed.…”
Section: Summary and Brief Discussionmentioning
confidence: 99%
“…The other possibility is the difference in the depth of the diffusion field in the solution. In previous studies, 18,19,23) compared with the width of the system size in the x-direction, the depth of the diffusion field is very small, so that the interaction between bunches through the diffusion field is limited. Thus, if the bunches are large and the distance between them is sufficiently large, each bunch moves independently and bunches with the same size periodically appear.…”
Section: Summary and Brief Discussionmentioning
confidence: 99%
See 1 more Smart Citation