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Related papers: The Forest Fire Model Revisited

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Using the Bak-Sneppen model of biological evolution as our paradigm, we investigate in which cases noise can be substituted with a deterministic signal without destroying Self-Organized Criticality (SOC). If the deterministic signal is…

Condensed Matter · Physics 2009-10-30 Paolo De Los Rios , Angelo Valleriani , Jose Luis Vega

Neural systems process information in a dynamical regime between silence and chaotic dynamics. This has lead to the criticality hypothesis which suggests that neural systems reach such a state by self-organizing towards the critical point…

Disordered Systems and Neural Networks · Physics 2021-03-10 Stefan Landmann , Lorenz Baumgarten , Stefan Bornholdt

A sandpile model with stochastic toppling rule is studied. The control parameters and the phase diagram are determined through a MF approach, the subcritical and critical regions are analyzed. The model is found to have some similarities…

Condensed Matter · Physics 2009-10-31 Alexei Vazquez , Oscar Sotolongo-Costa

In 2023, Sicily faced an escalating issue of uncontrolled fires, necessitating a thorough investigation into their spatio-temporal dynamics. Our study addresses this concern through point process theory. Each wildfire is treated as a unique…

Applications · Statistics 2024-02-19 Nicoletta D'Angelo , Alessandro Albano , Andrea Gilardi , Giada Adelfio

Tree-grass coexistence in savanna ecosystems depends strongly on environmental disturbances out of which crucial is fire. Most modeling attempts in the literature lack stochastic approach to fire occurrences which is essential to reflect…

Probability · Mathematics 2018-11-20 Paweł Klimasara , Marta Tyran-Kamińska

We introduce a stochastic sandpile model where finite drive and dissipation are coupled to the activity field. The absorbing phase transition here, as expected, belongs to the directed percolation (DP) universality class. We focus on the…

Statistical Mechanics · Physics 2015-06-23 U. Basu , P. K. Mohanty

The brain keeps its overall dynamics in a corridor of intermediate activity and it has been a long standing question what possible mechanism could achieve this task. Mechanisms from the field of statistical physics have long been suggesting…

Disordered Systems and Neural Networks · Physics 2014-10-08 Matthias Rybarsch , Stefan Bornholdt

We re-examine a two-dimensional forest-fire model via Monte-Carlo simulations and show the existence of two length scales with different critical exponents associated with clusters and with the usual two-point correlation function of trees.…

Statistical Mechanics · Physics 2015-02-24 A. Honecker , I. Peschel

This paper studies a stylized model of local interaction where agents choose from an ever increasing set of vertically ranked actions, e.g. technologies. The driving forces of the model are infrequent upward shifts (``updates''), followed…

Statistical Mechanics · Physics 2007-05-23 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo

Collective behaviors exhibited by animal groups, such as fish schools, bird flocks, or insect swarms are fascinating examples of self-organization in biology. Concepts and methods from statistical physics have been used to argue…

Biological Physics · Physics 2023-03-14 Pawel Romanczuk , Bryan C. Daniels

Atmospheric rivers (ARs) are essential components of the global hydrological cycle, with profound implications for water resources, extreme weather events, and climate dynamics. Yet, the statistical organization and underlying physical…

Geophysics · Physics 2025-04-11 Shang Wang , Jun Meng , Sheng Fang , Teng Liu , Kim Christensen , Jürgen Kurths , Jingfang Fan

The avalanche properties of models that exhibit 'self-organized criticality' (SOC) are still mostly awaiting theoretical explanations. A recent mapping (Europhys. Lett.~53, 569) of many sandpile models to interface depinning is presented…

Statistical Mechanics · Physics 2009-11-07 Mikko Alava

Signatures of self-organized criticality (SOC) have recently been observed in an ultracold atomic gas under continuous laser excitation to strongly-interacting Rydberg states [S. Helmrich et al., Nature, 577, 481--486 (2020)]. This creates…

Quantum Gases · Physics 2021-03-31 K. Klocke , T. M. Wintermantel , G. Lochead , S. Whitlock , M. Buchhold

Motivated by the importance of stratified shear flows in geophysical and environmental circumstances, we characterize their energetics, mixing and spectral behavior through a series of direct numerical simulations of turbulence generated by…

Fluid Dynamics · Physics 2018-11-14 Hesam Salehipour , W. R. Peltier , C. P. Caulfield

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

A spring-block model governed by threshold dynamics and driven by temporally increasing spring constants is investigated. Due to its novel multiplicative driving, criticality occurs even with periodic boundary conditions via a mechanism…

Statistical Mechanics · Physics 2009-10-30 Kwan-tai Leung , Joergen Vitting Andersen , Didier Sornette

In nature self-organized systems as flock of birds, school of fishes or herd of sheeps have to deal with the presence of external agents such as predators or leaders which modify their internal dynamic. Such situations take into account a…

Biological Physics · Physics 2012-10-15 Giacomo Albi , Lorenzo Pareschi

The occurrence frequency distributions of fluxes (F) and fluences or energies (E) observed in astrophysical observations are found to be consistent with the predictions of the fractal-diffusive self-organized criticality (FD-SOC) model,…

High Energy Astrophysical Phenomena · Physics 2025-01-24 Markus Aschwanden

The presence of both critical behavior and oscillating patterns in brain dynamics is a very interesting issue. In this paper, we consider a model for a neuron population, where each neuron is modeled by an over-damped rotator. We find that…

Disordered Systems and Neural Networks · Physics 2020-11-12 Amin Safaeesirat , Saman Moghimi-Araghi

Collective behaviours are frequently observed to self-organise to criticality. Existing proposals to explain these phenomena are fragmented across disciplines and only partially answer the question. This primer compares the underlying,…

Adaptation and Self-Organizing Systems · Physics 2025-08-05 Qianyang Chen , Mikhail Prokopenko