# Multi scaling of Fractal Dimension and Relative Entropy as Diagnostic Tools for Irradiated Carbon Nano-tubes

## TL;DR

This paper introduces a novel approach using multi-scaling of fractal dimension and relative entropy to diagnose and distinguish collision cascades and thermal spikes in irradiated carbon nanotubes, providing a new information-theoretic perspective.

## Contribution

It demonstrates that multi-scaling of probabilistic measures can effectively differentiate dissipative structures in irradiated nanotubes, advancing diagnostic techniques.

## Key findings

- Fractal dimension varies with energy and energy steps.
- Relative entropy distinguishes collision cascades from thermal spikes.
- Multi-scaling reveals variability in dissipative structures.

## Abstract

Linear and nonlinear dissipative structures emerge in the irradiated single and multi walled carbon nano-tubes in the form of collision cascades and thermal spikes. These are diagnosed by the information theoretic tools of fractal dimension and relative entropy by the probabilistic description of dissipative structures using the measure that depends upon the energy of the irradiating ion and the incremental energy step. Multi scaling of the measure of the probability distributions is shown to induce variability of fractal dimension of the sputtered carbon atoms and clusters. Fractal dimension and relative entropy care shown to unambiguously distinguish and identify the information generating collision cascades and thermal spikes.

---
Source: https://tomesphere.com/paper/1902.02612