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Article

Thermodynamic Efficiency of Interactions in Self-Organizing Systems

1
Department of Physics and Astronomy, Macquarie University, Sydney, NSW 2109, Australia
2
Centre for Complex Systems, Faculty of Engineering, The University of Sydney, Sydney, NSW 2006, Australia
*
Author to whom correspondence should be addressed.
Academic Editors: Claudius Gros, Damián H. Zanette and Carlos Gershenson
Entropy 2021, 23(6), 757; https://doi.org/10.3390/e23060757
Received: 21 May 2021 / Revised: 10 June 2021 / Accepted: 11 June 2021 / Published: 16 June 2021
(This article belongs to the Special Issue What Is Self-Organization?)
The emergence of global order in complex systems with locally interacting components is most striking at criticality, where small changes in control parameters result in a sudden global reorganization. We study the thermodynamic efficiency of interactions in self-organizing systems, which quantifies the change in the system’s order per unit of work carried out on (or extracted from) the system. We analytically derive the thermodynamic efficiency of interactions for the case of quasi-static variations of control parameters in the exactly solvable Curie–Weiss (fully connected) Ising model, and demonstrate that this quantity diverges at the critical point of a second-order phase transition. This divergence is shown for quasi-static perturbations in both control parameters—the external field and the coupling strength. Our analysis formalizes an intuitive understanding of thermodynamic efficiency across diverse self-organizing dynamics in physical, biological, and social domains. View Full-Text
Keywords: phase transitions; thermodynamics; self-organized systems phase transitions; thermodynamics; self-organized systems
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MDPI and ACS Style

Nigmatullin, R.; Prokopenko, M. Thermodynamic Efficiency of Interactions in Self-Organizing Systems. Entropy 2021, 23, 757. https://doi.org/10.3390/e23060757

AMA Style

Nigmatullin R, Prokopenko M. Thermodynamic Efficiency of Interactions in Self-Organizing Systems. Entropy. 2021; 23(6):757. https://doi.org/10.3390/e23060757

Chicago/Turabian Style

Nigmatullin, Ramil, and Mikhail Prokopenko. 2021. "Thermodynamic Efficiency of Interactions in Self-Organizing Systems" Entropy 23, no. 6: 757. https://doi.org/10.3390/e23060757

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