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Related papers: E-pile model of self-organized criticality

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Motivated by a computer science algorithm known as `linear probing with hashing' we study a new type of percolation model whose basic features include a sequential `dropping' of particles on a substrate followed by their transport via a…

Statistical Mechanics · Physics 2009-11-07 Satya N. Majumdar , David S. Dean

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

We use a phenomenological field theory, reflecting the symmetries and conservation laws of sandpiles, to compare the driven dissipative sandpile, widely studied in the context of self-organized criticality, with the corresponding…

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

We elucidate a long-standing puzzle about the non-equilibrium universality classes describing self-organized criticality in sandpile models. We show that depinning transitions of linear interfaces in random media and absorbing phase…

Statistical Mechanics · Physics 2007-05-23 Juan A. Bonachela , H. Chate , I. Dornic , Miguel A. Munoz

Rotational constraint representing a local external bias generally has non-trivial effect on the critical behavior of lattice statistical models in equilibrium critical phenomena. In order to study the effect of rotational bias in a out of…

Soft Condensed Matter · Physics 2009-11-13 S. B. Santra , S. Ranjita Chanu , D. Deb

The concept of Self-Organized Criticality (SOC) was proposed in an attempt to explain the widespread appearance of power-law in nature. It describes a mechanism in which a system reaches spontaneously a state where the characteristic events…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 B. Cessac

We have studied the damage spreading (defined in the text) in the 'sandpile' model of self organised criticality. We have studied the variations of the critical time (defined in the text) and the total number of sites damaged at critical…

Statistical Mechanics · Physics 2015-05-27 Ajanta Bhowal Acharyya

We propose the concept of autonomous self-damaging in "smart" composite materials, controlled by activation of added nanosize "damaging" capsules. Percolation-type modeling approach earlier applied to the related concept of self-healing…

Materials Science · Physics 2014-05-06 Sergii Domanskyi , Vladimir Privman

Percolation refers to the emergence of a giant connected cluster in a disordered system when the number of connections between nodes exceeds a critical value. The percolation phase transitions were believed to be continuous until recently…

Disordered Systems and Neural Networks · Physics 2015-02-13 R. A. da Costa , S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

A nonlinearly coupled system of bouncing balls is shown to exhibit features like self-organised-criticality (SOC) and punctuated equilibrium (PE) in suitable parameter domains. The temporal evolution of the non-stationary amplitudes is…

Chaotic Dynamics · Physics 2016-08-17 Kaushal Gianchandani , A. N. Sekar Iyengar , Prasanta K. Panigrahi

This paper is aimed at pursuing a recent discussion about the comparison between Self-Organised Criticality, the jamming process and the percolation theory in the problem of a silo discharge [I. Zuriguel, A. Garcimartin, D. Maza,…

Fluid Dynamics · Physics 2011-11-29 P. Evesque

Controlling self-organizing systems is challenging because the system responds to the controller. Here we develop a model that captures the essential self-organizing mechanisms of Bak-Tang-Wiesenfeld (BTW) sandpiles on networks, a…

Statistical Mechanics · Physics 2013-08-13 Pierre-André Noël , Charles D. Brummitt , Raissa M. D'Souza

While classical percolation is well understood, percolation effects in randomly packed or jammed structures are much less explored. Here we investigate both experimentally and theoretically the electrical percolation in a binary composite…

Materials Science · Physics 2021-04-20 Shiva Pokhrel , Brendon Waters , Solveig Felton , Zhi-Feng Huang , Boris Nadgorny

When a finite volume of an etching solution comes in contact with a disordered solid, a complex dynamics of the solid-solution interface develops. Since only the weak parts are corroded, the solid surface hardens progressively. If the…

Statistical Mechanics · Physics 2009-10-31 A. Gabrielli , A. Baldassarri , B. Sapoval

The well known Sandpile model of self-organized criticality generates avalanches of all length and time scales, without tuning any parameters. In the original models the external drive is randomly selected. Here we investigate a drive which…

Statistical Mechanics · Physics 2016-12-19 Marco Winkler , Johannes Falk , Wolfgang Kinzel

We have studied the damage spreading (defined in the text) in the 'sandpile' model of self organised criticality. We have studied the variations of the critical time (defined in the text) and the total no of sites damaged at critical time…

Condensed Matter · Physics 2007-05-23 Ajanta Bhowal

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

A simple, discrete, parametric model is proposed to describe conditional (correlated) deposition of particles on a surface and formation of a connecting (percolating) cluster. The surface changes spontaneously its properties (phase…

Statistical Mechanics · Physics 2007-05-23 Ana Proykova , Boris Karadjov

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

Lattice models of coupled dynamical systems lead to a variety of complex behaviors. Between the individual motion of independent units and the collective behavior of members of a population evolving synchronously, there exist more…

Condensed Matter · Physics 2016-08-15 C. J. Pérez , A. Corral , A. Díaz-Guilera , K. Christensen , A. Arenas