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

Information generating, sharing, and manipulating Source-Reservoir-Sink model of self-organizing dissipative structures

The evolution of self-organizing ensembles of fullerenes and the emergence of the Buckyball are described by information generating, sharing, and manipulating Source-Reservoir-Sink model. Shannon's information-theoretic model of signal transmitter, channel, and receiver that preserves and retains the original signal is extended to our model that maps the transformations of chemical and physical components of the self-organizing dissipative structures into Source, Reservoir, and Sink. The information generated by Source is manipulated by controlling the flow of information to Reservoir before being transmitted to Sink. It is demonstrated in a Box-model. The role of Reservoir in building up the manipulative capacity for information storage and selective sharing is illustrated by the asymmetric exchange of material and information. The number of boxes and the flow rates are varied to evaluate the information-theoretic diagnostic tools of Shannon entropy, complexity, fractal dimension, relative entropy, and the entropic cost of the emerging dissipative structures.