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Related papers: Self-Organization in a Granular Medium by Internal…

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We introduce an external control to reduce the size of avalanches in some sandpile models exhibiting self organized criticality. This rather intuitive approach seems to be missing in the vast literature on such systems. The control action,…

Computational Physics · Physics 2015-06-16 Daniel O. Cajueiro , Roberto F. S. Andrade

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

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

We present a two-dimensional system which exhibits features of self-organized criticality. The avalanches which occur on the surface of a pile of rice are found to exhibit finite size scaling in their probability distribution. The critical…

Soft Condensed Matter · Physics 2009-11-10 C. M. Aegerter , R. Günther , R. J. Wijngaarden

Granular materials, composed of discrete solid grains, can be modeled as simple mechanical systems. However, these materials can undergo spontaneous slow deformation, or creep, even under small forces and while in apparent mechanical…

Soft Condensed Matter · Physics 2025-02-05 Kasra Farain , Daniel Bonn

We present an experimental study of the deformation inside a granular material that is progressively tilted. We investigate the deformation before the avalanche with a spatially resolved Diffusive Wave Spectroscopy setup. At the beginning…

Soft Condensed Matter · Physics 2015-06-12 Axelle Amon , Roman Bertoni , Jérôme Crassous

Self-organizing system is studied whose behavior is governed by field of an order parameter, a fluctuation amplitude of conjugate field and a couple of Grassmannian conjugated fields that define the entropy as a control parameter. Within…

Statistical Mechanics · Physics 2007-05-23 Alexander I. Olemskoi , Alexei V. Khomenko

The kinetics of dislocations is studied with computer simulation at loadings of different intensity. It is established that the dislocations have a few different structural states. The dislocations "with the micropore" play important role…

Materials Science · Physics 2007-05-23 L. S. Metlov

Spontaneous stratification in granular mixtures has been recently reported by H. A. Makse et al. [Nature 386, 379 (1997)]. Here we study experimentally the dynamical processes leading to spontaneous stratification. Using a high-speed video…

Statistical Mechanics · Physics 2009-10-31 Hernan A. Makse , Robin C. Ball , H. Eugene Stanley , Stephen Warr

We review the use of superconductors as a playground for the experimental study of front roughening and avalanches. Using the magneto-optical technique, the spatial distribution of the vortex density in the sample is monitored as a function…

Statistical Mechanics · Physics 2009-11-11 Rinke J. Wijngaarden , Marco S. Welling , Christof M. Aegerter , Mariela Menghini

A simple model economy with locally interacting producers and consumers is introduced. When driven by extremal dynamics, the model self-organizes {\em not} to an attractor state, but to an asymptote, on which the economy has a constant rate…

Statistical Mechanics · Physics 2011-04-12 Simon F. Norrelykke , Per Bak

I review the concept of self-organized criticality, wherein dissipative systems naturally drive themselves to a critical state with important phenomena occurring over a wide range of length and time scales. Several exact results are…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Creutz

A system is in a self-organized critical state if the distribution of some measured events (avalanche sizes, for instance) obeys a power law for as many decades as it is possible to calculate or measure. The finite-size scaling of this…

Statistical Mechanics · Physics 2007-05-23 Josue X. Carvalho , Carmen P. C. Prado

Granular crystallisation is an important phenomenon whereby ordered packing structures form in granular matter under vibration. However, compared with the well-developed principles of crystallisation at the atomic scale, crystallisation in…

Disordered Systems and Neural Networks · Physics 2018-05-22 Weijing Dai , Joerg Reimann , Dorian Hanaor , Claudio Ferrero , Yixiang Gan

Self-organization creates new order and shifts sub-boundaries while reorganizing energy and entropy within a control volume. This article examines pathway selection and tests whether maximizing the entropy generation rate can forecast…

Materials Science · Physics 2026-03-10 J. A. Sekhar

Above a certain density a granular material jams. This property can be controlled by either tuning a global property, such as the packing fraction or by applying shear strain, or at the micro-scale by tuning grain shape, inter-particle…

Soft Condensed Matter · Physics 2016-11-23 Meredith Cox , Dong Wang , Jonathan Barés , Robert P. Behringer

Self-assembly of granular particles is of great interest in both applied and basic research. It is commonly observed that when randomly packed into a container, granular particles form disordered structures like glass. As the particles are…

Soft Condensed Matter · Physics 2025-01-20 Reza Amirifar , Kejun Dong , Aibing Yu

In nature, granular materials fail in abrupt avalanches, earthquakes, and other hazardous events, and also creep over time. Proposed failure mechanisms for these systems are broadly framed as friction-limited. However, mechanical…

Soft Condensed Matter · Physics 2025-04-30 Benjamin Allen , Nicholas W. Hayman

We study a simple model of spin network evolution motivated by the hypothesis that the emergence of classical space-time from a discrete microscopic dynamics may be a self-organized critical process. Self organized critical systems are…

High Energy Physics - Theory · Physics 2008-11-26 Mohammad H. Ansari , Lee Smolin

Granular segregation is an important mechanism for industrial processes aiming at mixing grains. Additionally, it plays a pivotal role in determining the kinematics of geophysical flows. Because of segregation, the grainsize distribution…

Soft Condensed Matter · Physics 2013-04-17 Benjy Marks , Itai Einav