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Asymptotics for the potential in a periodic network with localized defects
Author(s) -
Bonnetier Eric,
Sista Sivaji Ganesh
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700174
Subject(s) - ideal (ethics) , lattice (music) , physics , statistical physics , mathematics , philosophy , acoustics , epistemology
We consider a network of conductors built on the lattice h Z 2 and study how the potential is affected by a localized interior defect. We derive an asymptotic expansion of the difference between the potential of the perturbed network and that of an ideal, defect‐free network. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)