An information theoretic model for the linear and nonlinear dissipative structures in irradiated single-walled carbon nanotubes

TL;DR

This paper develops an information theoretic model to analyze the linear and nonlinear dissipative structures in irradiated single-walled carbon nanotubes, using entropy and fractal measures to distinguish energy dissipation processes.

Contribution

It introduces an entropy-based framework to interpret experimental sputtering data and differentiate energy dissipation mechanisms in irradiated nanotubes.

Findings

Entropy and fractal dimension characterize energy dissipation.

Distinction between monatomic sputtering and cluster emissions.

Model links experimental yields to dissipative structures.

Abstract

Experiments with irradiated single-walled carbon nanotubes are shown to generate a set of probability distribution functions and to derive a set of information theoretic entropy-based parameters. Energetic Cs+ ions initiate linear collision cascades and nonlinear thermal spikes in single-walled carbon nanotubes. The probability distribution functions are constructed from the normalized experimental yields of the sputtered atoms and clusters. The information or Shannon entropy and fractal dimension are evaluated for each of the emitted species. Along with the fractal dimension, the information is used to identify and distinguish the energy dissipation processes that generate conditions for monatomic sputtering and clusters emissions.