Thermodynamic Efficiency of Interactions in Self-Organizing Systems

The emergence of global order in complex systems with locally interacting components is most striking at criticality, where small changes control parameters result a sudden reorganization. We study the thermodynamic efficiency interactions self-organizing systems, which quantifies change system’s per unit work carried out on (or extracted from) system. analytically derive for case quasi-static variations exactly solvable Curie–Weiss (fully connected) Ising model, and demonstrate that this quantity diverges critical point second-order phase transition. This divergence shown perturbations both parameters—the external field coupling strength. Our analysis formalizes an intuitive understanding across diverse dynamics physical, biological, social domains.