# Marginally compact fractal trees with semiflexibility

## TL;DR

This paper investigates marginally compact fractal trees with semiflexibility, analyzing their eigenmodes and physical properties, revealing reduced self-contact density due to local stiffness.

## Contribution

It introduces a method to construct eigenmodes of semiflexible fractal trees, providing new insights into their physical behavior and structural properties.

## Key findings

- Eigenmodes can be iteratively constructed despite semiflexibility.
- Local stiffness significantly reduces self-contact density.
- Structures exhibit properties influenced by fractal generation and semiflexibility.

## Abstract

We study marginally compact macromolecular trees that are created by means of two different fractal generators. In doing so, we assume Gaussian statistics for the vectors connecting nodes of the trees. Moreover, we introduce bond-bond correlations that make the trees locally semiflexible. The symmetry of the structures allows an iterative construction of full sets of eigenmodes (notwithstanding the additional interactions that are present due to semiflexibility constraints), enabling us to get physical insights about the trees' behavior and to consider larger structures. Due to the local stiffness the self-contact density gets drastically reduced.