A Self-Organizing Dynamic System with a Phase Transition

2015 ◽  
pp. 333-390
2005 ◽  
Vol 28 (2) ◽  
pp. 197-198 ◽  
Author(s):  
Ross Buck

Self-organizing dynamic systems (DS) modeling is appropriate to conceptualizing the relationship between emotion and cognition-appraisal. Indeed, DS modeling can be applied to encompass and integrate additional phenomena at levels lower than emotional interpretations (genes), at the same level (motives), and at higher levels (social, cognitive, and moral emotions). Also, communication is a phenomenon involved in dynamic system interactions at all levels.


Entropy ◽  
2021 ◽  
Vol 23 (6) ◽  
pp. 757
Author(s):  
Ramil Nigmatullin ◽  
Mikhail Prokopenko

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.


2000 ◽  
Vol 11 (05) ◽  
pp. 1063-1066 ◽  
Author(s):  
A. O. SOUSA ◽  
DIETRICH STAUFFER

The Monte Carlo simulation of Bonabeau, Theraulaz and Deneubourg is reinvestigated. The phase transition between an egalitarian and an hierarchical society found was due to an instability when the past fights are not forgotten fast enough. Their model is also changed to include pair-specific memories, which again favor egalitarian societies.


Sign in / Sign up

Export Citation Format

Share Document