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Avalanche dynamics is found in many phenomena spanning from earthquakes to the evolution of species. It can be also found in vortex matter when a type II superconductor is externally driven, for example, by increasing the magnetic field.…

Superconductivity · Physics 2009-11-10 E. Altshuler , T. H. Johansen

The origin of self-organized criticality in a model without conservation law (Olami, Feder, and Christensen, Phys. Rev. Lett. {\bf 68}, 1244 (1992)) is studied. The homogeneous system with periodic boundary condition is found to be periodic…

Condensed Matter · Physics 2009-10-22 A. Alan Middleton , Chao Tang

Recognising changes in collective dynamics in complex systems is essential for predicting potential events and their development. Possessing intrinsic attractors with laws associated with scale invariance, self-organised critical dynamics…

Statistical Mechanics · Physics 2024-03-26 Bosiljka Tadic , Alexander Shapoval , Mikhail Shnirman

We investigate how the dimensionality of the embedding space affects the microscopic crackling dynamics and the macroscopic response of heterogeneous materials. Using a fiber bundle model with localized load sharing computer simulations are…

Disordered Systems and Neural Networks · Physics 2019-03-01 Zsuzsa Danku , Geza Odor , Ferenc Kun

A simple model for an interface moving in a disordered medium is presented. The model exhibits a transition between the two universality classes of interface growth phenomena. Using this model, it is shown that the application of…

Condensed Matter · Physics 2016-08-31 Hernan Makse

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…

A re-investigation of the gravothermal catastrophe is presented. By means of a linear perturbation analysis, we study the dynamical stability of a spherical self-gravitating isothermal fluid of finite volume and find that the conditions for…

Astrophysics of Galaxies · Physics 2015-06-12 M. C. Sormani , G. Bertin

The stability of convection rolls in a fluid heated from below is limited by secondary instabilities, including the skew-varicose and crossroll instabilities. We observe a stability boundary defined by the same instabilities in stripe…

With a toppling rule which generates metastable sites, we explore the properties of a gradient-driven sandpile that is minimally perturbed at one boundary. In two dimensions we find that the transport of grains takes place along deep…

Statistical Mechanics · Physics 2009-11-07 Lucian Anton , Hendrik B. Geyer

We study networks of coupled bistable elastic elements, recently proposed as a model for crumpled thin sheets. The networks are poised on the verge of a localized instability, and the model allows unique access to both local and global…

Soft Condensed Matter · Physics 2024-08-16 Dor Shohat , Yoav Lahini , Daniel Hexner

Granular elasticity, an elasticity theory useful for calculating static stress distribution in granular media, is generalized to the dynamic case by including the plastic contribution of the strain. A complete hydrodynamic theory is derived…

Soft Condensed Matter · Physics 2010-10-14 Yimin Jiang , Mario Liu

The JHU turbulence database [1] can be used with a state of the art visualisation tool [2] to generate high quality fluid dynamics videos. In this work we investigate the classical idea that smaller structures in turbulent flows, while…

Jamming transitions and the rheology of granular avalanches in fluids are investigated using experiments and numerical simulations. Simulations use the lattice-Boltzmann method coupled with the discrete element method, providing detailed…

Soft Condensed Matter · Physics 2024-08-27 Zhuan Ge , Teng Man , Kimberly M. Hill , Yujie Wang , Sergio Andres Galindo-Torres

These lecture notes cover the statics and glassy dynamics of granular media. Most of the lectures were in fact devoted to `force propagation' models. We discuss the experimental and theoretical motivations for these approaches, and their…

Condensed Matter · Physics 2007-05-23 J-P Bouchaud

A unique pattern selection in the absolutely unstable regime of a driven, nonlinear, open-flow system is analyzed: The spatiotemporal structures of rotationally symmetric vortices that propagate downstream in the annulus of the rotating…

patt-sol · Physics 2009-10-30 P. Buechel , M. Luecke , D. Roth , R. Schmitz

We analyze a lattice model closely related to the one-dimensional inelastic gas with periodic boundary condition. The one-dimensional inelastic gas tends to form high density clusters of particles with almost the same velocity, separated by…

Soft Condensed Matter · Physics 2009-11-10 Srdjan Ostojic , Debabrata Panja , Bernard Nienhuis

Dry granular material flowing on rough inclines can experience a self-induced Rayleigh-Taylor (RT) instability followed by the spontaneous emergence of convection cells. For this to happen, particles are different in size and density, the…

Soft Condensed Matter · Physics 2020-05-06 Umberto d'Ortona , Nathalie Thomas

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

The collapse of man-made and natural structures is a complex phenomenon that has been studied for centuries. We propose a new approach to understanding catastrophic instabilities, based on the idea that they do not occur at the critical…

Pattern Formation and Solitons · Physics 2023-08-29 Klaus Regenauer-Lieb , Manman Hu

During development and under normal physiological conditions, biological tissues are continuously subjected to substantial mechanical stresses. In response to large deformations cells in a tissue must undergo multicellular rearrangements in…

Biological Physics · Physics 2025-04-08 Anh Q. Nguyen , Junxiang Huang , Dapeng Bi