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Linear impurity modes in an electrical lattice: Theory and experiment.
Molina, M I; English, L Q; Chang, Ming-Hua; Kevrekidis, P G.
Afiliação
  • Molina MI; Departamento de Física, Facultad de Ciencias, Universidad de Chile, Santiago, Chile.
  • English LQ; Department of Physics and Astronomy, Dickinson College, Carlisle, Pennsylvania 17013, USA.
  • Chang MH; Department of Physics and Astronomy, Dickinson College, Carlisle, Pennsylvania 17013, USA.
  • Kevrekidis PG; Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA.
Phys Rev E ; 100(6-1): 062114, 2019 Dec.
Article em En | MEDLINE | ID: mdl-31962490
We examine theoretically and experimentally the localized electrical modes existing in a bi-inductive electrical lattice containing a bulk or a surface capacitive impurity. By means of the formalism of lattice Green's functions, we are able to obtain closed-form expressions for the frequencies of the impurity (bound-state) eigenmodes and for their associated spatial profiles. This affords us a systematic understanding of how these mode properties change as a function of the system parameters. We test these analytical results against experimental measurements, in both the bulk and surface cases, and find very good agreement. Last, we turn to a series of quench experiments, where either a parameter of the lattice or the lattice geometry itself is rapidly switched between two values or configurations. In all cases, we are able to naturally explain the results of such quench experiments from the larger analytical picture that emerges as a result of the detailed characterization of the impurity-mode solution branches.

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Revista: Phys Rev E Ano de publicação: 2019 Tipo de documento: Article País de afiliação: Chile País de publicação: Estados Unidos

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Revista: Phys Rev E Ano de publicação: 2019 Tipo de documento: Article País de afiliação: Chile País de publicação: Estados Unidos