English

Driven linear modes: Analytical solutions for finite discrete systems

Other Condensed Matter 2015-05-18 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1002.4328,
  title  = {Driven linear modes: Analytical solutions for finite discrete systems},
  author = {N. Lazarides and G. P. Tsironis},
  journal= {arXiv preprint arXiv:1002.4328},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T14:50:13.193Z