Disorder-to-chaos transition in the conductance distribution of corrugated waveguides

A Alcázar-López, JA Méndez-Bermúdez - Physical Review E—Statistical …, 2013 - APS
We perform a detailed numerical study of the distribution of conductances P (T) for quasi-
one-dimensional corrugated waveguides as a function of the corrugation complexity (from …

Two-dimensional nonlinear map characterized by tunable Lévy flights

JA Mendez-Bermudez, JA De Oliveira, ED Leonel - Physical Review E, 2014 - APS
After recognizing that point particles moving inside the extended version of the rippled
billiard perform Lévy flights characterized by a Lévy-type distribution P (l)∼ l−(1+ α) with α …

Localization properties of eigenstates in waveguides and cavities with corrugated boundaries

JA Méndez-Bermúdez… - Waves in Random and …, 2015 - Taylor & Francis
In this paper, we investigate the localization properties of eigenstates for the infinite periodic
and closed versions of the generalized ripple billiard (exemplifying corrugated waveguides …

The L\'evy Map: A two-dimensional nonlinear map characterized by tunable L\'evy flights

JA Méndez-Bermúdez, JA de Oliveira… - arXiv preprint arXiv …, 2014 - arxiv.org
Once recognizing that point particles moving inside the extended version of the rippled
billiard perform L\'evy flights characterized by a L\'evy-type distribution $ P (\ell)\sim\ell …