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The Relaxation of a Family of Broken Bond Crystal Surface Models by Marzuola, Jeremy L.; Weare, Jonathan is a scholarly article available to read on EtoBox.

What is The Relaxation of a Family of Broken Bond Crystal Surface Models about?

We study the continuum limit of a family of kinetic Monte Carlo models of crystal surface relaxation that includes both the solid-on-solid and discrete Gaussian models. With computational experiments and theoretical arguments we are able to derive several partial differential equation limits identified (or nearly identified) in previous studies and to clarify the correct choice of surface tension appearing in the PDE and the correct scaling regime giving rise to each PDE. We also provide preliminary computational investigations of a number of interesting qualitative features of the large scale behavior of the models.

Author

Marzuola, Jeremy L.; Weare, Jonathan

Published

2013

Language

EN