Relaxation of Terrace-width Distributions: Physical Information from Fokker-Planck Time

Details Relaxation of Terrace-width Distributions: Physical Information from Fokker-Planck Time Relaxation of Terrace-width Distributions: Physical Information from Fokker-Planck Time

2008-08-14

arxiv.org/abs/0808.2019v1

Surface Sci. 602 (2008) 3569-3577 (modified from v1)

Physics

Condensed Matter

Materials Science

11 pages, 7 color figures

Scientific paper

10.1016/j.susc.2008.09.041

Recently some of us have constructed a Fokker-Planck formalism to describe the equilibration of the terrace-width distribution of a vicinal surface from an arbitrary initial configuration. However, the meaning of the associated relaxation time, related to the strength of the random noise in the underlying Langevin equation, was rather unclear. Here we present a set of careful kinetic Monte Carlo simulations that demonstrate convincingly that the time constant shows activated behavior with a barrier that has a physically plausible dependence on the energies of the governing microscopic model. Furthermore, the Fokker-Planck time at least semiquantitatively tracks the actual physical time.

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