Algebraic localisation of linear response in networks with algebraically decaying interaction, and application to discrete breathers in dipole-dipolesystems

Authors
Baesens, C Mackay, RS
Citation
C. Baesens et Rs. Mackay, Algebraic localisation of linear response in networks with algebraically decaying interaction, and application to discrete breathers in dipole-dipolesystems, HELV PHYS A, 72(1), 1999, pp. 23-32
Citations number
7
Categorie Soggetti
Physics
Journal title
HELVETICA PHYSICA ACTA
ISSN journal
00180238 → ACNP
Volume
72
Issue
1
Year of publication
1999
Pages
23 - 32
Database
ISI
SICI code
0018-0238(199905)72:1<23:ALOLRI>2.0.ZU;2-X
Abstract
Networks of units for which the coupling decreases algebraically with dista nce between them are studied. It is proved that the linear response to an a lgebraically localised force is algebraically localised if the response exi sts and is unique. Applications are given to equilibria of networks of bist able units and to breathers in networks of oscillating dipoles.