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Self-organization is the autonomous assembly of a network of interacting components into a stable, organized pattern. This article shows that the process of self-assembly can be encoded in terms of evolutionary entropy, a statistical…

Statistical Mechanics · Physics 2023-05-29 Lloyd A. Demetrius

Contemporary complexity theory has been instrumental in providing novel rigorous definitions for some classic philosophical concepts, including emergence. In an attempt to provide an account of emergence that is consistent with complexity…

Adaptation and Self-Organizing Systems · Physics 2015-02-06 Jonathan Lawhead

Order can spontaneously emerge from seemingly noisy interactions between biological agents, like a flock of birds changing their direction of flight in unison, without a leader or an external cue. We are interested in the generic conditions…

Biological Physics · Physics 2021-03-09 Carsten T. van de Kamp , George Dadunashvili , Johan L. A. Dubbeldam , Timon Idema

Herein we consider various concepts of entropy as measures of the complexity of phenomena and in so doing encounter a fundamental problem in physics that affects how we understand the nature of reality. In essence the difficulty has to do…

Statistical Mechanics · Physics 2007-05-23 Paolo Allegrini , Martina Giuntoli , Paolo Grigolini , Bruce J. West

Many systems involve numerous interacting parts and the whole system can have properties that the individual parts do not. I take this novelty as the defining characteristic of an emergent property. Other characteristics associated with…

History and Philosophy of Physics · Physics 2025-11-05 Ross H. McKenzie

Self-organisation lies at the core of fundamental but still unresolved scientific questions, and holds the promise of de-centralised paradigms crucial for future technological developments. While self-organising processes have been…

Adaptation and Self-Organizing Systems · Physics 2019-04-16 Fernando Rosas , Pedro A. M. Mediano , Martin Ugarte , Henrik J. Jensen

Complex structures often emerge from initially homogeneous or weakly correlated states. We address the apparent tension between this ordering and entropy growth through a unified framework combining semi-microscopic phase-space dynamics,…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-27 Francisco-Shu Kitaura

The question how complex systems become more organized and efficient with time is open. Examples are, the formation of elementary particles from pure energy, the formation of atoms from particles, the formation of stars and galaxies, the…

Physics and Society · Physics 2017-01-17 Georgi Georgiev , Atanu Chatterjee , Germano Iannacchione

When a large number of similar entities interact among each other and with their environment at a low scale, unexpected outcomes at higher spatio-temporal scales might spontaneously arise. This nontrivial phenomenon, known as emergence,…

Physics and Society · Physics 2022-05-25 Oriol Artime , Manlio De Domenico

We propose utilizing entropy as a diagnostic tool to distinguish between constant and dynamical dark energy models. Entropy, a measure of the system's disorder or information content, captures the complexity and evolution of the universe.…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Tanisha Joshi

Entropy is arguably one of the most powerful concepts to understand the world, from the behavior of molecules to the expansion of the universe, from how life emerges to how hybrid complex systems like cities come into being and continue…

Physics and Society · Physics 2024-04-03 Vinicius M. Netto , Otavio Peres , Caio Cacholas

Collective organization in matter plays a significant role in its expressed physical properties. Typically, it is detected via an order parameter, appropriately defined for each given system's observed emergent patterns. Recent developments…

Statistical Mechanics · Physics 2016-08-16 V. S. Vijayaraghavan , R. G. James , J. P. Crutchfield

Self-organization is frequently observed in active collectives, from ant rafts to molecular motor assemblies. General principles describing self-organization away from equilibrium have been challenging to identify. We offer a unifying…

Emergent patterns in complex systems are related to many intriguing phenomena in modern science and philosophy. Several conceptions such as weak, strong and robust emergence have been proposed to emphasize different epistemological and…

Physics and Society · Physics 2016-10-11 Alberto Pascual-García

Emergence is a phenomenon taken for granted in science but also still not well understood. We have developed a model of artificial genetic evolution intended to allow for emergence on genetic, population and social levels. We present the…

Populations and Evolution · Quantitative Biology 2015-05-19 Chris Marriott , Jobran Chebib

In [N. A. Baas, Emergence, Hierarchies, and Hyper-structures, in C.G. Langton ed., Artificial Life III, Addison Wesley, 1994.] a general framework for the study of Emergence and hyper-structure was presented. This approach is mostly…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Babak Hodjat , Makoto Amamiya

Most of the grand challenges of humanity today involve complex agent-based systems, such as epidemiology, economics or ecology. However, remains as a pending task the challenge of identifying the general principles underlying their…

General Finance · Quantitative Finance 2020-10-19 Martin Jaraiz

The fast changing reality in technical and natural domains perceived by always more accurate observations has drawn attention on new and very broad class of systems with specific behaviour represented under the common wording complexity.…

Adaptation and Self-Organizing Systems · Physics 2007-06-06 Michel Cotsaftis

Self-organization is the generation of order out of local interactions in non-equilibrium [1]. It is deeply connected to all fields of science from physics, chemistry to biology where functional living structures self-assemble[2] and…

Soft Condensed Matter · Physics 2018-10-24 Utsab Khadka , Viktor Holubec , Haw Yang , Frank Cichos

Recently it has been demonstrated that causal entropic forces can lead to the emergence of complex phenomena associated with human cognitive niche such as tool use and social cooperation. Here I show that even more fundamental traits…

Information Theory · Computer Science 2016-04-20 Fouad Khan
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