Dynamical phase transition in vibrational surface modes
Mesoscale and Nanoscale Physics
2015-06-25 v3
Abstract
We consider the dynamical properties of a simple model of vibrational surface modes. We obtain the exact spectrum of surface excitations and discuss their dynamical features. In addition to the usually discussed localized and oscillatory regimes we also find a second phase transition where surface mode frequency becomes purely imaginary and describes an overdamped regime. Noticeably, this transition has an exact correspondence to the oscillatory - overdamped transition of the standard oscillator with a frictional force proportional to velocity.
Cite
@article{arxiv.cond-mat/0604059,
title = {Dynamical phase transition in vibrational surface modes},
author = {H. L. Calvo and H. M. Pastawski},
journal= {arXiv preprint arXiv:cond-mat/0604059},
year = {2015}
}
Comments
4 pages, 3 figures. To appear in Braz. J. Phys