English

Pendulum limit, chaos and phase-locking in the dynamics of ac-driven semiconductor superlattices

Mesoscale and Nanoscale Physics 2009-11-07 v2 Statistical Mechanics Chaotic Dynamics

Abstract

We describe a limiting case when nonlinear dynamics of an ac-driven semiconductor superlattice in the miniband transport regime is governed by a periodically forced and damped pendulum. We find analytically the conditions for a transition to chaos and consider an influence of temperature on the effect. We also discuss fractional dc voltage states in a superlattice originating from phase-locked states of the pendulum.

Keywords

Cite

@article{arxiv.cond-mat/0208583,
  title  = {Pendulum limit, chaos and phase-locking in the dynamics of ac-driven semiconductor superlattices},
  author = {Kirill N. Alekseev and Feodor V. Kusmartsev},
  journal= {arXiv preprint arXiv:cond-mat/0208583},
  year   = {2009}
}

Comments

8 pages, no figures. Version2 is strongly revised: new physics, more references. 3 appendixes of this Eprint are absent in the manuscript submitted to journal