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We investigate, by numerical simulations, how the avalanche dynamics of the Bak-Tang-Wiesenfeld (BTW) sandpile model can induce emergence of scale-free (SF) networks and how this emerging structure affects dynamics of the system. We also…

Other Condensed Matter · Physics 2009-11-11 Piotr Fronczak , Agata Fronczak , Janusz A. Holyst

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

The sun provides an explosive, heavenly example of self-organized criticality. Sudden bursts of intense radiation emanate from rapid rearrangements of the magnetic field network in the corona. Avalanches are triggered by loops of flux that…

Statistical Mechanics · Physics 2009-11-10 Maya Paczuski , David Hughes

We introduce a 2-dimensional lattice model of granular matter. We use a combination of proof and simulation to demonstrate an order/disorder phase transition in the model, to which we associate the granular phenomenon of random close…

Soft Condensed Matter · Physics 2015-05-14 D. Aristoff , C. Radin

We report on spontaneous rotational symmetry breaking in a minimal model of complex macromolecules with branches and cycles. The transition takes place as the strength of the self-repulsion is increased. At the transition point, the density…

Soft Condensed Matter · Physics 2019-04-03 Josh Kelly , Alexander Y. Grosberg , Robijn Bruinsma

Granular convergence is a property of a granular pack as it is repeatedly sheared in a cyclic, quasistatic fashion, as the packing configuration changes via discrete events. Under suitable conditions the set of microscopic configurations…

Soft Condensed Matter · Physics 2023-08-25 Anna Movsheva , Thomas A. Witten

By extracting unstable invariant solutions directly from body-forced three-dimensional turbulence, we study the dynamical processes at play when the forcing is large scale and either unidirectional in the momentum or the vorticity…

Fluid Dynamics · Physics 2017-04-26 Dan Lucas , Rich Kerswell

Mean-field coupled lattice maps are used to approximate the physics of driven threshold systems with long range interactions. However, they are incapable of modeling specific features of the dynamic instability responsible for generating…

Adaptation and Self-Organizing Systems · Physics 2009-11-10 Eric F. Preston , Jorge S. Sa Martins , John Rundle

Some general dynamical properties of models for compaction of granular media based on master equations are analyzed. In particular, a one-dimensional lattice model with short-ranged dynamical constraints is considered. The stationary state…

Statistical Mechanics · Physics 2009-10-31 A. Prados , J. Javier Brey , B. Sanchez-Rey

The spontaneous clustering of a vibrofluidized granular gas is employed to generate directed transport in two different compartmentalized systems: a "granular fountain" in which the transport takes the form of convection rolls, and a…

Soft Condensed Matter · Physics 2016-08-31 Devaraj van der Meer , Peter Reimann , Ko van der Weele , Detlef Lohse

Granular materials such as sand, powders, and food grains are ubiquitous in civil engineering, geoscience, agriculture, and medicine. While the influence of friction between the grains on the static structure of these systems is well…

Soft Condensed Matter · Physics 2024-05-16 Qinghao Mao , Yujie Wang , Walter Kob

The annealing kinetics of mobile intrinsic defects is investigated by an ab initio method based on density functional theory. The interstitial-vacancy recombination, the diffusion of vacancies and interstitials to defect sinks (e.g.…

Materials Science · Physics 2007-05-23 Michel Bockstedte , Alexander Mattausch , Oleg Pankratov

Mullins' theory predicts the buildup of adatoms during surface diffusion at the edges of grooves where grain boundaries emerge to the surface of a polycrystalline film. However, the mesoscopic nature of this theory prevents the…

Materials Science · Physics 2020-12-22 Enrique Vasco , María J. Ramírez-Peral , Enrique G. Michel , Celia Polop

Brain-like self-assembled networks can infer and analyze information out of unorganized noisy signals with minimal power consumption. These networks are characterized by spatiotemporal avalanches and their crackling behavior, and their…

Disordered Systems and Neural Networks · Physics 2024-04-30 Vivek Dey , Steffen Kampman , Rafael Gutierrez , Gianaurelio Cuniberti , Pavan Nukala

We examine exhaustively the behavior of avalanches in critical height sandpile models based in two- and three-dimensional lattices of various topologies. We get that for two-dimensional lattices the spatial and temporal distributions…

adap-org · Physics 2015-06-24 Alberto Saa

We numerically investigate a diffusion-reaction model of an ombrotrophic peatland implementing a Turing instability relying on nutrient accumulation. We propose a systematic and quantitative sorting of the vegetation patterns, based on the…

Adaptation and Self-Organizing Systems · Physics 2019-02-08 Chloé Béguin , Maura Brunetti , Jérôme Kasparian

We analyze the properties of a Luttinger liquid under the influence of a periodic driving of the interaction strength. Irrespective of the details the driven system develops an instability due to a parametric resonance. For slow and fast…

Strongly Correlated Electrons · Physics 2013-01-29 Marin Bukov , Markus Heyl

Supercooled liquids are metastable states realized by suppressing crystallization below the melting temperature. While it is well established that their dynamics slow down dramatically and become spatially heterogeneous upon cooling, the…

Soft Condensed Matter · Physics 2026-04-07 Norihiro Oyama , Yusuke Hara , Takeshi Kawasaki , Kang Kim

Solution-phase bottom up self-assembly of nanocrystals into superstructures such as ordered superlattices is an attractive strategy to generate functional materials of increasing complexity, including very recent advances that incorporate…

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
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