Olson, Derek and Ortner, Christoph (2017) Regularity and locality of point defects in multilattices. Applied Mathematics Research eXpress, 2017 (2). pp. 297-337. doi:10.1093/amrx/abw012 ISSN 1687-1200.

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Abstract

We formulate a model for a point defect embedded in a homogeneous multilattice crystal with an empirical interatomic potential interaction. Under a natural phonon stability assumption, we quantify the decay of the long-range elastic fields with increasing distance from the defect. These decay estimates are an essential ingredient in quantifying approximation errors in coarse-grained models and in the construction of optimal numerical methods for approximating crystalline defects.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QD Chemistry
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Crystals -- Defects -- Mathematical models, Crystal lattices
Journal or Publication Title:	Applied Mathematics Research eXpress
Publisher:	Oxford University Press
ISSN:	1687-1200
Official Date:	1 September 2017
Dates:	Date Event 1 September 2017 Published 18 January 2017 Available 29 December 2016 Accepted 31 August 2016 Submitted
Volume:	2017
Number:	2
Page Range:	pp. 297-337
DOI:	10.1093/amrx/abw012
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	6 March 2017
Date of first compliant Open Access:	18 January 2018
Funder:	National Science Foundation. Partnerships for International Research and Education (U.S.) (NSF PIRE), European Research Council (ERC)
Grant number:	Grant OISE-0967140 (NSF PIRE), Grant 335120

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