Quasi-steady state propagation in the davydov-type model with linear on-site interactions

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The problem of electron transportation along a discrete deformable medium with linear on-site interactions in the Davydov approach is considered. It is found that the quasi-stationary state of the full equations of motion leads to a discrete nonlocal nonlinear Schrödinger (DNNLS) equation whose nonlocality is of the exponential type and depending on the on-site parameter. We use the variational approach to approximate discrete traveling wave solutions in the DNNLS equation. We find that the discrete solutions continued from the discrete nonlinear Schrödinger equation, corresponding to the vanishing of the on-site parameter, bifurcates in a critical on-site value. Additionally, a threshold in the velocity of propagation of the discrete structures is found.

Original languageEnglish
Pages (from-to)1015-1021
Number of pages7
JournalLow Temperature Physics
Volume48
Issue number12
DOIs
StatePublished - 1 Dec 2022

Fingerprint

Dive into the research topics of 'Quasi-steady state propagation in the davydov-type model with linear on-site interactions'. Together they form a unique fingerprint.

Cite this