Information-theoretic model of self-organizing fullerenes and the emergence of C60

TL;DR

This paper introduces an information-theoretic model to analyze the self-organization and evolution of fullerenes, demonstrating how C60 emerges as a stable end product through cage transformations.

Contribution

It presents a novel information-theoretic framework to understand fullerene dynamics and the emergence of C60 as a self-organized structure.

Findings

C60 emerges as the end product of fullerene cage transformations.

Fractal dimensions of cages are derived from Shannon entropy.

The model offers insights into the self-organizational behavior of dissipative carbon structures.

Abstract

An information-theoretic model describes the dissipative dynamical systems composed of ensembles of fragmenting, self-organizing fullerenes. The probabilities derived from the variations of the fullerene number densities that occur during cage-to-cage transformations are used to evaluate Shannon entropy for every carbon cage. Fractal dimension of the cages are calculated from the respective entropy. C60 is shown to emerges as the end-directed evolution of dynamical systems of four different ensembles of fullerenes. The information generating, transforming cages of carbon provide a perspective to evaluate the self-organizational behavior of dissipative structures.