Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:B3L-A

Session:

Number:411

Simplified models for Intrinsic Localized Mode dynamics

Daniel Brake,  Vakhtang Putkaradze,  

pp.411-414

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.411

PDF download (525.9KB)

We discuss possible application of Intrinsic Localized Modes (ILM) in nano pillar arrays to sensing. When a molecule attaches to a pillar, it causes a change in the pillar's natural frequency. The idea of the method is to use ILMs to detect this defect in the array. We outline some difficulties posed by visualization of nanoscale vibrations. As a first step in theoretical understanding of ILM dynamics in the presence of defects, we use variational models to derive simplified equations of motion for ILMs.

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