What is it about?

Self-organizing dynamical systems are treated analogous to the networks of information-generating and sharing components. Source is the generator and initiator of all information. This information is transmitted towards the eventual receiver–Sink, through the intermediate stage of Reservoir. Reservoir is treated as the only link between Source and Sink. The model is applied to provide the information-theoretic description of the ensembles of self-organizing carbon cages with the emergence of the perfectly symmetrical C60 cage. The model has already been applied to fragmenting nanotubes.

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Why is it important?

Model can be applied to the description of lakes as reservoirs of water, to banks as reservoirs of depositors' money and commercial markets which regulate inputs and outputs of goods. Our model defines parameters and functions which can relate effects and impacts of input variations on the outputs.

Perspectives

This article was the culmination of my own experimental work and that of my group dealing with the formation and fragmentation of carbon nanostructures of Buckyball (C60) and carbon nanotubes. I have described the dynamical emergence of the fragmenting sequences of large spherical carbon cages and linked those to the emergence of a unique icosahedral structure-C60. The same model can describe the fragmentation stages and dynamical emergent stages of fragmentation of C60 and nanotubes. We have used information theoretic Shannon entropy as the main function which describes the evolution of the formation or fragmentation sequences. We also utilize Fractal concepts and Chaos theory to describe dynamical emergence phenomenon.

Professor Shoaib Ahmad

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This page is a summary of: Information generating, sharing, and manipulating Source-Reservoir-Sink model of self-organizing dissipative structures, Chaos An Interdisciplinary Journal of Nonlinear Science, December 2018, American Institute of Physics,
DOI: 10.1063/1.5052561.
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