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

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.

arXiv comment22 pages, 4 figures, 1 table

References in corpus (4)

• Modelling of C2 addition route to the formation of C60
• Criteria for the growth of fullerenes and single-walled carbon nanotubes in sooting environments
• An information theoretic model for the linear and nonlinear dissipative structures in irradiated single-walled carbon nanotubes
• The role of the C2 gas in the emergence of C60 from the condensing carbon vapour

Cited by in corpus (3)

• Information generating, sharing and manipulating Source-Reservoir-Sink model of self-organizing dissipative structures
• Experimental and Theoretical Aspects of the Fragmentation of Carbon's Single and Multi-Walled Nanotubes
• Dynamic emergence of fragmenting, exploding cages of irradiated single-walled carbon nanotubes and C60