Nonlinear Localized Excitations in Helix Macromolecules

TL;DR

This paper analytically investigates localized nonlinear excitations called breathers in crystalline helix macromolecules, revealing their properties and mobility, which are crucial for understanding polymer thermodynamics.

Contribution

It introduces a continuum model for breathers in complex crystalline helix macromolecules, a novel approach for analyzing their localized excitations.

Findings

Characterization of breather parameters

Conditions for breather mobility

Analytical model for localized excitations

Abstract

Physico-mechanical properties of polymers in solid state, in particular conditions of their structural transformations, are substantially defined by existence and mobility of elementary nonlinear excitations. The localized oscillatory excitations (breathers) which have been revealed in crystalline PE are important for thermodynamic studies. In the given work the breathers in more complex crystalline of helix macromolecules are analytically investigated for the first time. We show that introduction of adequate variables allows to construct the continuum model describing spatially localized excitations with internal degree of freedom. Characteristic parameters of breathers and conditions of their mobility are defined.