Thermodynamic efficiency of interactions in self-organizing systems
| Autor: | Ramil Nigmatullin, Mikhail Prokopenko |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Work (thermodynamics)
Phase transition Science QC1-999 Complex system General Physics and Astronomy FOS: Physical sciences Astrophysics 01 natural sciences Article 010305 fluids & plasmas thermodynamics Critical point (thermodynamics) 0103 physical sciences Statistical physics 010306 general physics Divergence (statistics) self-organized systems Condensed Matter - Statistical Mechanics Self-organization Physics Statistical Mechanics (cond-mat.stat-mech) Nonlinear Sciences - Adaptation and Self-Organizing Systems phase transitions QB460-466 Criticality Ising model Adaptation and Self-Organizing Systems (nlin.AO) |
| Zdroj: | Entropy Volume 23 Issue 6 Entropy, Vol 23, Iss 757, p 757 (2021) |
| Popis: | 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 re-organization. We introduce a measure of thermodynamic efficiency of interactions in self-organizing systems, which quantifies the change in the system's order per unit 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. 9 pages, 3 figures |
| Databáze: | OpenAIRE |
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