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Liquid marbles, droplets coated with a granular layer, are highly mobile as particles prevent capillary adhesion with the substrate. Yet, they exhibit static friction due to their granular shell, which resists rolling until it yields. This…

We study the critical behavior of the dissipative abelian sandpile model on Z with dissipative sites at arbitrary positions (x_k). This is equivalent to studying whether the expected stopping time of a trapped random walk on Z is finite.…

Probability · Mathematics 2025-09-05 Adrien Rezzouk

Self-Organized Criticality is the emergence of long-ranged spatio-temporal correlations in non-equilibrium steady states of slowly driven systems without fine tuning of any control parameter. Sandpiles were proposed as prototypical examples…

Soft Condensed Matter · Physics 2007-05-23 S. S. Manna

This study proposes a new fundamental formula that describes in a more coherent way, the rise and fall of liquids in capillaries. The variation of the contact angle classically associated with these phenomena appears to be the indirect…

Soft Condensed Matter · Physics 2024-12-11 Noureddine Djama

We study a directed stochastic sandpile model of Self-Organized Criticality, which exhibits recurrent, multiple topplings, putting it in a separate universality class from the exactly solved model of Dhar and Ramaswamy. We show that in the…

Statistical Mechanics · Physics 2009-10-31 Maya Paczuski , Kevin E. Bassler

We introduce three measures which quantify the degree to which quantum systems possess the robustness exhibited by classical systems when subjected to continuous observation. Using these we show that for a fixed environmental interaction…

Quantum Physics · Physics 2009-11-10 D. J. Atkins , Z. Brady , K. Jacobs , H. M. Wiseman

The surface of conservative coupled sandpiles in the self-organized cooperative critical state is found to exhibit intermittency in both time and space. The spatiotemporal intermittent structure is also found to be a multifractal. The…

Adaptation and Self-Organizing Systems · Physics 2015-09-01 Lei Liu , Fei Hu

The notion of Self-organized criticality (SOC) had been conceived to interpret the spontaneous emergence of long range correlations in nature. Since then many different models had been introduced to study SOC. All of them have few common…

Statistical Mechanics · Physics 2023-05-03 S. S. Manna

The approach to the critical state -- the transition from partially elastic to perfectly plastic behavior -- is considered the most characteristic of granular phenomena in soil mechanics. By identifying the critical state as the…

Geophysics · Physics 2010-10-27 Stefan Mahle , Yimin Jiang , Mario Liu

We study channelization and slope destabilization driven by subsurface (groundwater) flow in a laboratory experiment. The pressure of the water entering the sandpile from below as well as the slope of the sandpile are varied. We present…

Soft Condensed Matter · Physics 2007-05-23 Alexander E. Lobkovsky , Bill Jensen , Arshad Kudrolli , Daniel H. Rothman

The Abelian sandpile model was the first example of a self-organized critical system studied by Bak, Tang and Wiesenfeld. The dynamics of the sandpiles occur when the grains topple over a graph. In this study, we allow the graph to evolve…

Combinatorics · Mathematics 2024-07-24 Carlos A. Alfaro , Juan Pablo Serrano , Ralihe R. Villagrán

We present large scale simulations of a stochastic sandpile model in two dimensions. We use moments analysis to evaluate critical exponents and finite size scaling method to consistently test the obtained results. The general picture…

Statistical Mechanics · Physics 2009-10-31 Alessandro Chessa , Alessandro Vespignani , Stefano Zapperi

We study the surface roughness of prototype models displaying self-organized criticality (SOC) and their noncritical variants in one dimension. For SOC systems, we find that two seemingly equivalent definitions of surface roughness yields…

Statistical Mechanics · Physics 2009-11-10 J. G. Oliveira , J. F. F. Mendes , G. Tripathy

Failure of amorphous solids is fundamental to various phenomena, including landslides and earthquakes. Recent experiments indicate that highly plastic regions form elongated structures that are especially apparent near the maximal shear…

Soft Condensed Matter · Physics 2016-01-20 Jie Lin , Thomas Gueudré , Alberto Rosso , Matthieu Wyart

We study the sandpile model in infinite volume on $\mathbb{Z}^d$. In particular, we are interested in the question whether or not initial configurations, chosen according to a stationary measure $\mu$, are $\mu$-almost surely stabilizable.…

Probability · Mathematics 2009-06-16 Anne Fey , Ronald Meester , Frank Redig

A layer of sand of thickness h flows down a rough surface if the inclination is larger than some threshold value theta which decreases with h. A tentative microscopic model for the dependence of theta with h is proposed for rigid frictional…

Materials Science · Physics 2014-11-19 Matthieu Wyart

We examine probability distribution for avalanche sizes observed in self-organized critical systems. While a power-law distribution with a cutoff because of finite system size is typical behavior, a systematic investigation reveals that it…

Statistical Mechanics · Physics 2022-08-09 Avinash Chand Yadav , Abdul Quadir , Haider Hasan Jafri

We report the results of three dimensional molecular dynamic simulations on the angle of repose of a sandpile formed by pouring mono-sized cohesionless spherical grains into a granular Hele-Shaw cell. In particular, we are interested to…

Statistical Mechanics · Physics 2009-11-13 Hamed Maleki , Fatemeh Ebrahimi , Ehsan Nedaaee Oskoee

We prove a necessary and sufficient condition for an Abelian Sandpile Model (ASM) to be avalanche-finite, namely: all unstable states of the system can be brought back to stability in finite number of topplings. The method is also…

adap-org · Physics 2015-06-24 S. W. Chan , H. F. Chau

We study critical properties of the continuous Abelian sandpile model with anisotropies in toppling rules that produce ordered patterns on it. Also we consider the continuous directed sandpile model perturbed by a weak quenched randomness…

Statistical Mechanics · Physics 2013-05-29 N. Azimi-Tafreshi , S. Moghimi-Araghi