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Thermodynamic Efficiency of Interactions in Self-Organizing Systems.
Ramil Nigmatullin1,2, Mikhail Prokopenko2
1Department of Physics and Astronomy, Macquarie University, Sydney, NSW 2109, Australia.
Entropy (Basel, Switzerland)
|July 2, 2021
Summary
Global order emerges strikingly at criticality in complex systems. This study shows thermodynamic efficiency diverges at critical points in self-organizing systems, revealing insights into phase transitions.
Area of Science:
- Complex Systems
- Statistical Mechanics
- Thermodynamics
Background:
- Complex systems exhibit emergent global order, particularly at criticality, where minor parameter changes cause significant reorganization.
- Self-organizing systems display a thermodynamic efficiency quantifying order change per unit of work.
- Understanding this efficiency is key to diverse physical, biological, and social phenomena.
Purpose of the Study:
- To analytically derive and investigate the thermodynamic efficiency of interactions in self-organizing systems.
- To explore the behavior of thermodynamic efficiency near critical points.
- To formalize the understanding of thermodynamic efficiency in various complex systems.
Main Methods:
- Analytical derivation of thermodynamic efficiency for quasi-static parameter variations.
- Application to the exactly solvable Curie-Weiss (fully connected) Ising model.
- Analysis of perturbations in external field and coupling strength.
Main Results:
- The thermodynamic efficiency of interactions was analytically derived for the Curie-Weiss Ising model.
- A divergence in thermodynamic efficiency was demonstrated at the critical point of a second-order phase transition.
- This divergence was observed for quasi-static perturbations in both external field and coupling strength.
Conclusions:
- Thermodynamic efficiency diverges at criticality in the studied self-organizing system.
- This divergence provides a formal framework for understanding efficiency in diverse self-organizing dynamics.
- The findings offer insights into the nature of phase transitions and emergent order.
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