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Slowly driven dissipative systems may evolve to a critical state where long periods of apparent equilibrium are punctuated by intermittent avalanches of activity. We present a self-organized critical model of punctuated equilibrium behavior…

Condensed Matter · Physics 2009-10-28 Stefan Boettcher , Maya Paczuski

Temporal autocorrelation functions for avalanches in the Bak-Sneppen model display aging behavior similar to glassy systems. Numerical simulations show that they decay as power laws with two distinct regimes separated by a time scale which…

Condensed Matter · Physics 2009-10-30 Stefan Boettcher , Maya Paczuski

We discuss mean-field theories for self-organized criticality and the connection with the general theory of branching processes. We point out that the nature of the self-organization is not addressed properly by the previously proposed…

Condensed Matter · Physics 2009-10-28 Stefano Zapperi , Kent Baekgaard Lauritsen , H. Eugene Stanley

The identification of tipping points is essential for prediction of collapses or other sudden changes in complex systems. Applications include studies of ecology, thermodynamics, climatology, and epidemiology. However, detecting early signs…

Controlling self-organizing systems is challenging because the system responds to the controller. Here we develop a model that captures the essential self-organizing mechanisms of Bak-Tang-Wiesenfeld (BTW) sandpiles on networks, a…

Statistical Mechanics · Physics 2013-08-13 Pierre-André Noël , Charles D. Brummitt , Raissa M. D'Souza

We investigate the transition to Self Organized Criticality in a two-dimensional model of a flux tube with a background flow. The magnetic induction equation, represented by a partial differential equation with a stochastic source term, is…

High Energy Astrophysical Phenomena · Physics 2015-09-16 Bogdan Danila , Tiberiu Harko , Gabriela Mocanu

Critical phenomena near continuous phase transitions are typically observed on the scale of wavelengths of visible light[1]. Here we report similar phenomena for atmospheric precipitation on scales of tens of kilometers. Our observations…

Statistical Mechanics · Physics 2007-05-23 Ole Peters , J. David Neelin

Many-body systems relaxing to equilibrium can exhibit complex dynamics even if their steady state is trivial. At low temperatures or high densities their evolution is often dominated by steric hindrances affecting particle motion [1,2,3].…

Statistical Mechanics · Physics 2016-05-10 M. M. Valado , C. Simonelli , M. D. Hoogerland , I. Lesanovsky , J. P. Garrahan , E. Arimondo , D. Ciampini , O. Morsch

Power laws and distributions with heavy tails are common features of many experimentally studied complex systems, like the distribution of the sizes of earthquakes and solar flares, or the duration of neuronal avalanches in the brain.…

Adaptation and Self-Organizing Systems · Physics 2014-03-05 Dimitrije Markovic , Claudius Gros

This Thesis explores how tools from Statistical Physics and Information Theory can help us describe and understand complex systems. In the first part, we study the interplay between internal interactions, environmental changes, and…

Statistical Mechanics · Physics 2023-03-01 Giorgio Nicoletti

Safety-critical scenarios are essential for training and evaluating autonomous driving (AD) systems, yet remain extremely rare in real-world driving datasets. To address this, we propose Real-world Crash Grounding (RCG), a scenario…

Robotics · Computer Science 2025-07-16 Benjamin Stoler , Juliet Yang , Jonathan Francis , Jean Oh

Recent experimental advances in the field of cold-atom cavity QED provide a powerful tool for exploring non-equilibrium correlated quantum phenomena beyond conventional condensed-matter scenarios. We present the dynamical phase diagram of a…

Quantum Physics · Physics 2023-03-01 Pan Gao , Zheng-Wei Zhou , Guang-Can Guo , Xi-Wang Luo

A nonlinearly coupled system of bouncing balls is shown to exhibit features like self-organised-criticality (SOC) and punctuated equilibrium (PE) in suitable parameter domains. The temporal evolution of the non-stationary amplitudes is…

Chaotic Dynamics · Physics 2016-08-17 Kaushal Gianchandani , A. N. Sekar Iyengar , Prasanta K. Panigrahi

The onset of collision dynamics between an ion and a Rydberg atom is studied in a regime characterized by a multitude of collision channels. These channels arise from coupling between a non-polar Rydberg state and numerous highly polar…

Recent experiments on cortical neural networks have revealed the existence of well-defined avalanches of electrical activity. Such avalanches have been claimed to be generically scale-invariant -- i.e. power-law distributed -- with many…

Disordered Systems and Neural Networks · Physics 2015-05-18 Juan A. Bonachela , Sebastiano de Franciscis , Joaquin J. Torres , Miguel A. Munoz

Recent experimental observations have supported the hypothesis that the cerebral cortex operates in a dynamical regime near criticality, where the neuronal network exhibits a mixture of ordered and disordered patterns. However, A…

Neurons and Cognition · Quantitative Biology 2023-09-08 Longbin Zeng , Fengjian Feng , Wenlian Lu

Self-organized criticality is characterized by power law correlations in the non-equilibrium steady state of externally driven systems. A dynamical system proposed here self-organizes itself to a critical state with no characteristic size…

Soft Condensed Matter · Physics 2009-11-11 Santanu Sinha , Vimal Kishore , S. B. Santra

We report the observation and control of ultrafast non-equilibrium many-body electron dynamics in Rydberg-excited spatially-ordered ultracold atoms created from a three-dimensional unity-filling atomic Mott insulator. By implementing…

The spontaneous emergence of scale invariance, called self-organized criticality (SOC), is often attributed to a second-order absorbing-state phase transition (ASPT). Many real-world systems display SOC, yet extreme events are often…

Adaptation and Self-Organizing Systems · Physics 2023-08-08 Guram Mikaberidze , Arthur Plaud , Raissa M. D'Souza

This is the extensive follow-up report of a recent Letter in which the existence of self-organized criticality (SOC) in systems of interacting soft gluons is proposed, and its consequences for inelastic diffractive scattering processes are…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. Boros , Meng Ta-chung , R. Rittel , K. Tabelow , Zhang Yang
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