Driven linear modes: Analytical solutions for finite discrete systems

Details Driven linear modes: Analytical solutions for finite discrete systems Driven linear modes: Analytical solutions for finite discrete systems

2010-02-23

arxiv.org/abs/1002.4328v1

Physics Letters A 374, 2179-2182 (2010)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 3 figures, submitted to Phys. Rev. E

Scientific paper

We have obtained exact analytical expressions in closed form, for the linear modes excited in finite and discrete systems that are driven by a spatially homogeneous alternating field. Those modes are extended for frequencies within the linear frequency band while they are either end-localized or end-avoided for frequencies outside the linear frequency band. The analytical solutions are resonant at particular frequencies, which compose the frequency dispersion relation of the finite system.

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