Nonequilibrium free energy and kinetic roughening of steps on the Kossel(001) surface

H. M. Cuppen, H. Meekes, W. J. P. van Enckevort, E. Vlieg, and H. J. F. Knops
Phys. Rev. B 69, 245404 – Published 15 June 2004
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Abstract

This paper studies the nonequilibrium energetics of growth steps. It discusses the energy and free energy of a [100] step on a Kossel(001) crystal surface as a function of the driving force in the case that two-dimensional nucleation is not active. Theoretical expressions for these energies are derived and are found to agree with data obtained from Monte Carlo simulations of step flow. The nonequilibrium expressions allow us to propose that the vanishing of the step free energy beyond a critical value of the driving force defines the onset of the kinetic roughening regime. This is found to agree with the earlier phenomenological criteria for this transition.

  • Received 9 December 2003

DOI:https://doi.org/10.1103/PhysRevB.69.245404

©2004 American Physical Society

Authors & Affiliations

H. M. Cuppen, H. Meekes*, W. J. P. van Enckevort, and E. Vlieg

  • NSRIM Department of Solid State Chemistry, University of Nijmegen, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands

H. J. F. Knops

  • Department of Theoretical Physics, University of Nijmegen, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands

  • *Corresponding author.

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Issue

Vol. 69, Iss. 24 — 15 June 2004

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