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

Area of Science:

• Physical Chemistry
• Information Theory
• Materials Science

Background:

• Self-organizing systems, like fullerene ensembles, exhibit complex emergent behaviors.
• Shannon's information theory provides a framework for understanding signal transmission and preservation.
• Dissipative structures involve continuous energy and matter exchange with their environment.

Purpose of the Study:

• To model the evolution of self-organizing fullerene ensembles and the emergence of the Buckyball.
• To extend Shannon's information-theoretic model to describe chemical and physical transformations in dissipative structures.
• To analyze information generation, manipulation, storage, and sharing within these systems.

Main Methods:

• Development of a Source-Reservoir-Sink model for information flow.
• Application of a Box-model to demonstrate information manipulation and storage.
• Systematic variation of model parameters (number of boxes, flow rates).
• Evaluation using information-theoretic tools: Shannon entropy, complexity, fractal dimension, relative entropy, and entropic cost.

Main Results:

• The Source-Reservoir-Sink model effectively describes fullerene self-organization and Buckyball emergence.
• The Reservoir plays a crucial role in information storage and selective sharing via asymmetric exchange.
• Information-theoretic diagnostics provide quantitative measures of the emerging dissipative structures.

Conclusions:

• The proposed model offers a novel perspective on the information dynamics of self-organizing systems.
• Understanding information flow is key to comprehending the formation and properties of complex chemical structures.
• The framework is applicable to studying other self-organizing and dissipative phenomena.