Generalized nonlinear impurity in a linear chain

G. P. Tsironis, M. I. Molina, D. Hennig

Research output: Contribution to journalArticle

50 Citations (Scopus)

Abstract

We study the problem of one nonlinear impurity embedded in a linear tight-binding host. The impurity is of the type found in the generalized discrete nonlinear Schrödinger equation. We obtain analytically a phase diagram that describes the presence of bound states for different nonlinearity parameter values and nonlinearity exponents. We find that two impurity states are possible in some parameter regimes. From the numerical solution of the complete dynamical problem we obtain information on the nonlinear site survival probability that shows a dynamical self-trapping that is compatible with the findings of the stationary-state analysis.

Original languageEnglish
Pages (from-to)2365-2368
Number of pages4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume50
Issue number3
DOIs
Publication statusPublished - 1994
Externally publishedYes

Fingerprint

Impurities
impurities
nonlinearity
Nonlinearity
Tight-binding
Survival Probability
Discrete Equations
Stationary States
Trapping
Bound States
Phase Diagram
nonlinear equations
Nonlinear Equations
trapping
Exponent
phase diagrams
Numerical Solution
exponents

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Generalized nonlinear impurity in a linear chain. / Tsironis, G. P.; Molina, M. I.; Hennig, D.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 50, No. 3, 1994, p. 2365-2368.

Research output: Contribution to journalArticle

Tsironis, G. P. ; Molina, M. I. ; Hennig, D. / Generalized nonlinear impurity in a linear chain. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 1994 ; Vol. 50, No. 3. pp. 2365-2368.
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