New family of potentials with analytical twiston-like solutions

TL;DR

This paper introduces a novel analytical approach to model twiston-like solutions in molecular chains using a combined two-field system, enabling detailed descriptions of twisting and longitudinal movements.

Contribution

The work presents a new method to construct analytical twiston models by combining two one-field systems into a two-field effective model.

Findings

Successfully built analytical models with defect-like solutions

Models describe 180° twist and longitudinal movement

Applicable to various molecular chain dynamics

Abstract

In this letter we present a new approach to find analytical twiston models. The effective two-field model was constructed by a non-trivial combination of two one field systems. In such an approach we successfully build analytical models which are satisfied by a combination of two defect-like solutions, where one is responsible to twist the molecular chain by $180^{\,0}$, while the other implies in a longitudinal movement. Such a longitudinal movement can be fitted to have the size of the distance between adjacent molecular groups. The procedure works nicely and can be used to describe the dynamics of several other molecular chains.