Abstract
AbstractAn exact method is presented for calculating the density of states and any complex matrix element of the harmonic phonon Green's function of single polymer chains of infinite length. The method takes advantage of the one dimensionality of the Brillouin zone. In comparison to the standard root sampling method, the method presented here has all the advantages of a fully analytic procedure (in particular, smooth curves instead of histograms) and offers and enormous increase in accuracy while at the same time drastically decreasing the computer time. For illustrational purposes, the method is applied to the defect model of Opaskar and Krimm and to the diatomic linear chain. In addition to the reproduction of the results obtained by Opaskar and Krimm, explicit expressions for the resonance and localized modes are derived.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Polymer Science: Polymer Physics Edition
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
