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Energy localization and transport in two-dimensional electrical lattices


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Opened Access Energy localization and transport in two-dimensional electrical lattices
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Author: English, Lars Q.
Palmero Acebedo, Faustino
Stormes, Joseph F.
Cuevas-Maraver, Jesús
Carretero-González, Ricardo
Kevrekidis, Panayotis G.
Department: Universidad de Sevilla. Departamento de Física Aplicada I
Date: 2013
Published in: International Symposium on Nonlinear Theory and its Applications (2013. Santa Fe, USA)
Document type: Presentation
Abstract: Intrinsic localized modes (ILMs) have been generated and characterized in two-dimensional nonlinear electrical lattices which were driven by a spatially-uniform voltage signal. These ILMs were found to be either stationary or mobile, depending on the details of the lattice unit-cell, as had already been reported in one-dimensional lattices; however, the mo- tion of these ILMs is qualitatively di erent in that it lacks a consistent direction. Furthermore, the hop- ping speed seems to be somewhat reduced in two di- mensions due to an enhanced Peierls-Nabarro (PN)- barrier. We investigate both square and honeycomb lattices composed of 6 x 6 elements. These direct ob- servations were further supported by numerical simu- lations based on realistic models of circuit components. The numerical study moreover allowed for an analysis of ILM dynamics and pattern formation for larger lat- tice sizes.
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