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This paper proposes a variational approach to describe the evolution of organization of complex systems from first principles, as increased efficiency of physical action. Most simply stated, physical action is the product of the energy and…

Adaptation and Self-Organizing Systems · Physics 2014-07-29 Georgi Yordanov Georgiev , Kaitlin Henry , Timothy Bates , Erin Gombos , Alexander Casey , Michael Daly , Amrit Vinod , Hyunseung Lee

Despite broad interest in self-organizing systems, there are few quantitative, experimentally-applicable criteria for self-organization. The existing criteria all give counter-intuitive results for important cases. In this Letter, we…

Adaptation and Self-Organizing Systems · Physics 2011-11-10 Cosma Rohilla Shalizi , Kristina Lisa Shalizi , Robert Haslinger

It is proposed that self-organisation (SO) in non-equilibrium systems is governed by a general principle: it emerges when a minute subset of system configurations are exceptionally stable and long-lived to survive the noise generated by the…

Statistical Mechanics · Physics 2026-04-20 Raphael Blumenfeld

There has been a long debate on how new levels of organization have evolved. It might seem unlikely, as cooperation must prevail over competition. One well-studied example is the emergence of autocatalytic sets, which seem to be a…

Populations and Evolution · Quantitative Biology 2026-02-16 Sean P. Maley , Carlos Gershenson , Stuart A. Kauffman

The work is devoted to study of the following problem: can we use any qualitative criteria for realization of such universal phenomenon as self-organization in open systems? We have defined values of information at fixed points of…

Adaptation and Self-Organizing Systems · Physics 2016-10-04 Zeinulla Zh. Zhanabaev , Yeldos T. Kozhagulov , Serik A. Khokhlov

Self-organization of a biologically motivated swarm into smaller subgroups of different velocities is found by solving a 1-dimensional adaptive-velocity swarm, in which the velocity of an agent is averaged over a finite local radius of…

Adaptation and Self-Organizing Systems · Physics 2013-09-13 Jiangning Chen , Weituo Zhang , Chjan C. Lim

Self-assembly is a ubiquitous process in synthetic and biological systems, broadly defined as the spontaneous organization of multiple subunits (e.g. macromolecules, particles) into ordered multi-unit structures. The vast majority of…

Soft Condensed Matter · Physics 2023-08-08 Michael F. Hagan , Gregory M. Grason

Self-organization is ubiquitous in nature and mind. However, machine learning and theories of cognition still barely touch the subject. The hurdle is that general patterns are difficult to define in terms of dynamical equations and…

Artificial Intelligence · Computer Science 2023-02-07 Danilo Vasconcellos Vargas , Tham Yik Foong , Heng Zhang

The interplay between topology and dynamics in complex networks is a fundamental but widely unexplored problem. Here, we study this phenomenon on a prototype model in which the network is shaped by a dynamical variable. We couple the…

Statistical Mechanics · Physics 2008-06-13 Diego Garlaschelli , Andrea Capocci , Guido Caldarelli

The basic laws of physics are simple, so why is the world complex? The theory of self-organized criticality posits that complex behavior in nature emerges from the dynamics of extended, dissipative systems that evolve through a sequence of…

Statistical Mechanics · Physics 2007-05-23 Maya Paczuski , Per Bak

The present study gives a mathematical framework for self-evolution within autonomous problem solving systems. Special attention is set on universal abstraction, thereof generation by net block homomorphism, consequently multiple order…

Artificial Intelligence · Computer Science 2013-08-27 Seppo Ilari Tirri

To analyze the evolutionary emergence of structural complexity in physical processes we introduce a general, but tractable, model of objects that interact to produce new objects. Since the objects--\emph{$epsilon$-machines}--have well…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 James P. Crutchfield , Olof Gornerup

At the heart of many contemporary theories of life is the concept of biological self-organisation: organisms have to continuously produce and maintain the conditions of their own existence in order to stay alive. The way in which these…

Quantitative Methods · Quantitative Biology 2025-03-17 Emmy Brown , Sean T. Vittadello

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

Abbreviated Abstract: The objective of Evolutionary Computation is to solve practical problems (e.g. optimization, data mining) by simulating the mechanisms of natural evolution. This thesis addresses several topics related to adaptation…

Neural and Evolutionary Computing · Computer Science 2009-07-06 James M Whitacre

We propose a general scenario to analyze social and economic changes in modern environments. We illustrate the ideas with a model that incorporating the main trends is simple enough to extract analytical results and, at the same time,…

Statistical Mechanics · Physics 2009-10-31 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo

The living organism is considered as an open system, whereas Prigogine's approach to the thermodynamics of such systems is used. The approach allows one to formulate the law of individual growth and development (ontogenesis) of the living…

Biological Physics · Physics 2026-03-12 Alexei A. Zotin , Vladimir N. Pokrovskii

Research on the birth and evolution of life are reviewed with reference to the maximum entropy production principle (MEPP). It has been shown that this principle is essential for consistent understanding of the birth and evolution of life.…

Biological Physics · Physics 2025-04-22 Yasuji Sawada , Yasukazu Daigaku , Kenji Toma

The managed-metabolism hypothesis suggests that a cooperation barrier must be overcome if self-producing chemical organizations are to transition from non-life to life. This barrier prevents un-managed, self-organizing, autocatalytic…

Populations and Evolution · Quantitative Biology 2018-08-06 John E. Stewart

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