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Thermodynamic criticality describes emergent phenomena in a wide variety of complex systems. In the mammalian brain, the complex dynamics that spontaneously emerge from neuronal interactions have been characterized as neuronal avalanches, a…

Biological Physics · Physics 2013-04-16 Shan Yu , Hongdian Yang , Oren Shriki , Dietmar Plenz

Using a simple lattice model for granular media, we present a scenario of self-organization that we term self-organized structuring where the steady state has several unusual features: (1) large scale space and/or time inhomogeneities and…

Statistical Mechanics · Physics 2009-10-31 Supriya Krishnamurthy , Vittorio Loreto , Stephane Roux

We have studied the collective behavior of a population of integrate-and-fire oscillators. We show that diversity, introduced in terms of a random distribution of natural periods, is the mechanism that permits to observe self-organized…

Condensed Matter · Physics 2009-10-30 Alvaro Corral , Conrad J. Perez , Albert Diaz-Guilera

We study the spin-1 Ising model with non-local constraints imposed by the Bak-Tang-Wiesenfeld sandpile model of self-organized criticality (SOC). The model is constructed as if the sandpile is being built on a (honeycomb) lattice with Ising…

Statistical Mechanics · Physics 2009-11-11 Zbigniew Koza , Marcel Ausloos

We explore in the mean-field approximation the robustness with respect to dissipation of self-organized criticality in sandpile models. To this end, we generalize a recently introduced self-organized branching process, and show that the…

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

We focus on a technique recently implemented for controlling the magnitude of synthetic spin-orbit coupling (SOC) in ultra-cold atoms in the Raman-coupling scenario. This technique uses a periodic modulation of the Raman-coupling amplitude…

Quantum Gases · Physics 2016-08-03 J. M. Gomez Llorente , J. Plata

We investigate a possible mechanism for the autoionization of ultracold Rydberg gases, based on the resonant coupling of Rydberg pair states to the ionization continuum. Unlike an atomic collision where the wave functions begin to overlap,…

Atomic Physics · Physics 2015-05-13 T. Amthor , J. Denskat , C. Giese , N. N. Bezuglov , A. Ekers , L. Cederbaum , M. Weidemüller

Consider the convex hull of a collection of disjoint open discs with radii $1/2$. The boundary of the convex hull consists of a finite number of line segments and arcs. Randomly choose a point in one of the arcs in the boundary so that the…

Probability · Mathematics 2025-08-13 Krzysztof Burdzy

Utilizing a paradigmatic model for the motion of interacting self-propelled particles, we demonstrate that local accelerations at the level of individual particles can drive transitions between different collective dynamics, leading to a…

Soft Condensed Matter · Physics 2024-01-30 Everton S. Medeiros , Ulrike Feudel

We suggest a novel way to use strong Rydberg dipole-dipole interactions in order to induce non-trivial conditional dynamics in individual-atom systems and mesoscopic ensembles. Contrary to previous works, we suggest to excite atoms into…

Quantum Physics · Physics 2009-11-13 E. Brion , A. S. Mouritzen , K. Molmer

We show that large, slowly driven systems can evolve to a self-organized critical state where long range temporal correlations between bursts or avalanches produce low frequency $1/f^{\alpha}$ noise. The avalanches can occur instantaneously…

Statistical Mechanics · Physics 2009-11-07 J. Davidsen , M. Paczuski

When external stresses in a system - physical, social or virtual - are relieved through impulsive events, it is natural to focus on the attributes of these avalanches. However, during the quiescent periods in between, stresses may be…

We investigate the conditions required for general spin systems with frustration and disorder to display self-organized criticality, a property which so far has been established only for the fully-connected infinite-range…

Disordered Systems and Neural Networks · Physics 2013-08-29 Juan Carlos Andresen , Zheng Zhu , Ruben S. Andrist , Helmut G. Katzgraber , V. Dobrosavljevic , Gergely T. Zimanyi

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

The dynamics of a fibre-bundle type model with equal load sharing rule is numerically studied. The system, formed by N elements, is driven by a slow increase of the load upon it which is removed in a novel way through internal transfers to…

Statistical Mechanics · Physics 2009-10-31 Y. Moreno , J. B. Gomez , A. F. Pacheco

We present generic scaling laws relating spreading critical exponents and avalanche exponents (in the sense of self-organized criticality) in general systems with absorbing states. Using these scaling laws we present a collection of the…

Statistical Mechanics · Physics 2009-10-31 Miguel A. Munoz , Ronald Dickman , Alessandro Vespignani , Stefano Zapperi

We investigate the synaptic noise as a novel mechanism for creating critical avalanches in the activity of neural networks. We model neurons and chemical synapses by dynamical maps with a uniform noise term in the synaptic coupling. An…

Disordered Systems and Neural Networks · Physics 2015-10-07 Mauricio Girardi-Schappo , Osame Kinouchi , Marcelo H. R. Tragtenberg

Within the framework of the random first-order transition theory of glasses, we discuss the statistics of thermal avalanches, the large scale rearrangements in driven amorphous systems near their instability. Stringy excitations yield…

Disordered Systems and Neural Networks · Physics 2026-03-05 Zhiyu Cao , Peter G. Wolynes

We report some numerical simulations to investigate the existence of a self-organized critical (SOC) state in a random-neighbor version of the OFC model for a range of parameters corresponding to a non-conservative case. In contrast to a…

adap-org · Physics 2015-06-24 S. T. R. Pinho , C. P. C. Prado , O. Kinouchi

We investigate the creep dynamics of a driven elastic line at finite temperature, well below the depinning threshold. We show that creep is governed by two distinct length scales. The first, $\ell_{\mathrm{opt}}$, corresponds to the optimal…

Statistical Mechanics · Physics 2026-04-29 Giovanni Russo , Ezequiel E. Ferrero , Alejandro B. Kolton , Alberto Rosso , Damien Vandembroucq