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Related papers: Self-organized criticality as a phase transition

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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

Criticality is hypothesized as a physical mechanism underlying efficient transitions between cortical states and remarkable information processing capacities in the brain. While considerable evidence generally supports this hypothesis,…

Neurons and Cognition · Quantitative Biology 2023-06-12 Yang Tian , Zeren Tan , Hedong Hou , Guoqi Li , Aohua Cheng , Yike Qiu , Kangyu Weng , Chun Chen , Pei Sun

Fast scrambling, quantified by the exponential initial growth of Out-of-Time-Ordered-Correlators (OTOCs), is the ability to efficiently spread quantum correlations among the degrees of freedom of interacting systems, and constitutes a…

Quantum Physics · Physics 2023-05-04 Felix Meier , Mathias Steinhuber , Juan Diego Urbina , Daniel Waltner , Thomas Guhr

We investigate numerically the Self Organized Criticality (SOC) properties of the dissipative Olami-Feder-Christensen model on small-world and scale-free networks. We find that the small-world OFC model exhibits self-organized criticality.…

Statistical Mechanics · Physics 2007-05-23 Filippo Caruso , Vito Latora , Alessandro Pluchino , Andrea Rapisarda , Bosiljka Tadic

The shape of clouds has proven to be essential for classifying them. Our analysis of images from fair weather cumulus clouds reveals that, besides by turbulence they are driven by self-organized criticality (SOC). Our observations yield…

Statistical Mechanics · Physics 2021-05-12 M. N. Najafi , J. Cheraghalizadeh , H. J. Herrmann

We derive a general formulation of the self-organized branching process by considering sandpile dynamics in an evolving population characterized by "birth" (excitation) and "death" (de-excitation) of active sites ($z=1$). New active sites…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 D. E. Juanico , C. Monterola , C. Saloma

Cellular automata provide a fascinating class of dynamical systems capable of diverse complex behavior. These include simplified models for many phenomena seen in nature. Among other things, they provide insight into self-organized…

High Energy Physics - Lattice · Physics 2008-02-03 Michael Creutz

We study the noisy dynamics of a close relative of the sand pile model. Depending on the type of noise and the time scale of observation, we find stationary fluctuations (similar to SOC) or an aging dynamics with punctuated equilibria, a…

Statistical Mechanics · Physics 2007-05-23 Paolo Sibani , Christian Maar Andersen

A popular theory of self-organized criticality relates driven dissipative systems to systems with conservation. This theory predicts that the stationary density of the abelian sandpile model equals the threshold density of the fixed-energy…

Statistical Mechanics · Physics 2010-06-10 Anne Fey , Lionel Levine , David B. Wilson

We show that correlated dynamics and long time memory persist in self-organized criticality (SOC) systems even when forced away from the defined critical point that exists at vanishing drive strength. These temporal correlations are found…

Statistical Mechanics · Physics 2016-08-16 Ryan Woodard , David E. Newman , Raúl Sánchez , Benjamin A. Carreras

Critical dynamics are assumed to be an attractive mode for normal brain functioning as information processing and computational capabilities are found to be optimized there. Recent experimental observations of neuronal activity patterns…

Neurons and Cognition · Quantitative Biology 2015-05-28 Christian Meisel , Alexander Storch , Susanne Hallmeyer-Elgner , Ed Bullmore , Thilo Gross

Various self-organized characteristics of the international system can be identified with the help of a complexity science perspective. The perspective discussed in this article is based on various complexity science concepts and theories,…

Adaptation and Self-Organizing Systems · Physics 2014-09-25 Ingo Piepers

The modification of the model of P.Bak and K.Sneppen of the self-organized biological evolution is proposed on the basis of a formalization of the scheme of the biosphere evolution suggested by O.V.Kovalev. This scheme is regarded as one…

Condensed Matter · Physics 2008-02-03 O. V. Kovalev , Yu. M. Pis'mak , V. V. Vechernin

The intermittency of solar and wind power can be addressed by integrating them with Solid Oxide Cells (SOCs). This study delves into the transient characteristics of SOCs and their dependence on dynamic heat and mass transfer processes.…

Fluid Dynamics · Physics 2024-05-31 Zhaojian Liang , Jingyi Wang , Liang An , Yang Wang , Meng Ni , Mengying Li

The one-dimensional Oslo model is studied under self-organized criticality (SOC) conditions and under absorbing state (AS) conditions. While the activity signals the phase transition under AS conditions by a sudden increase, this is not the…

Statistical Mechanics · Physics 2009-12-14 Ole Peters , Gunnar Pruessner

Self-organized bistability (SOB) stands as a critical behavior for the systems delicately adjusting themselves to the brink of bistability, characterized by a first-order transition. Its essence lies in the inherent ability of the system to…

Adaptation and Self-Organizing Systems · Physics 2024-01-08 Md Sayeed Anwar , Nikita Frolov , Alexander E. Hramov , Dibakar Ghosh

The characterization of global energy storage and release in the coupled solar wind-magnetosphere system remains one of the fundamental problems of space physics.Recently, it has been realised that a new paradigm in physics, that of Self…

Astrophysics · Physics 2021-04-28 Sandra Chapman , Nicholas Watkins

The dynamical Curie-Weiss model of self-organized criticality (SOC) was introduced in \cite{Gor17} and it is derived from the classical generalized Curie-Weiss by imposing a microscopic Markovian evolution having the distribution of the…

Probability · Mathematics 2020-03-31 Francesca Collet , Matthias Gorny , Richard Clemens Kraaij

The discrete height abelian sandpile model was introduced by Bak, Tang & Wiesenfeld and Dhar as an example for the concept of self-organized criticality. When the model is modified to allow grains to disappear on each toppling, it is called…

Probability · Mathematics 2015-06-01 Antal A. Járai , Frank Redig , Ellen Saada

Certain systems with slow driving and avalanche-like dissipation events are naturally close to a critical point when the ratio of two energy scales is large. The first energy scale is the threshold above which an avalanche is triggered, the…

Statistical Mechanics · Physics 2015-06-25 Barbara Drossel