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IOP PUBLISHING JOURNAL OF PHYSICS: CONDENSED MATTER J. Phys.: Condens. Matter 21 (2009) 224017 (11pp) doi:10.1088/0953-8984/21/22/224017
 

Summary: IOP PUBLISHING JOURNAL OF PHYSICS: CONDENSED MATTER
J. Phys.: Condens. Matter 21 (2009) 224017 (11pp) doi:10.1088/0953-8984/21/22/224017
From crater functions to partial
differential equations: a new approach to
ion bombardment induced nonequilibrium
pattern formation
Scott A Norris, Michael P Brenner and Michael J Aziz
Harvard School of Engineering and Applied Sciences, Cambridge MA 02138, USA
Received 11 February 2009
Published 12 May 2009
Online at stacks.iop.org/JPhysCM/21/224017
Abstract
We develop a methodology for deriving continuum partial differential equations for the
evolution of large-scale surface morphology directly from molecular dynamics simulations of
the craters formed from individual ion impacts. Our formalism relies on the separation between
the length scale of ion impact and the characteristic scale of pattern formation, and expresses
the surface evolution in terms of the moments of the crater function. We demonstrate that the
formalism reproduces the classical Bradley­Harper results, as well as ballistic atomic drift,
under the appropriate simplifying assumptions. Given an actual set of converged molecular
dynamics moments and their derivatives with respect to the incidence angle, our approach can

  

Source: Aziz, Michael J.- School of Engineering and Applied Sciences, Harvard University

 

Collections: Physics; Materials Science