PMID: 11308539Apr 20, 2001Paper

Unexpected transient effect

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A Chame, J Villain

Abstract

When a grooved periodic profile cut in a crystalline surface relaxes through surface diffusion, flatter parts appear at the top and bottom in the transient state which precedes complete smoothing. This has been attributed to a tendency of successive steps of identical sign to draw closer to one another. This kind of kinetic interaction is a consequence of the finite value of the interatomic distance, and is present even if no interaction between steps is taken into account. We investigate this effect in a very simplified model, namely, a one-dimensional profile with alternating pairs of up and down steps, where no annihilation of steps is allowed. The quantitative effect is partly treated analytically.

References

Dec 15, 1995·Physical Review. B, Condensed Matter·W Selke, P M Duxbury
Oct 15, 1996·Physical Review. B, Condensed Matter· Ramana Murty MV, B H Cooper
Jul 1, 1989·Physical Review. B, Condensed Matter·Z Jiang, C Ebner
Sep 15, 1990·Physical Review. B, Condensed Matter·M Ozdemir, A Zangwill
Jan 15, 1990·Physical Review Letters·F Lançon, J Villain
Dec 28, 1992·Physical Review Letters·D Kandel, J D Weeks
Feb 20, 1995·Physical Review Letters·P C SearsonK Sieradzki

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Citations

Oct 10, 2006·Physical Review Letters·Dionisios MargetisHoward A Stone

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