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Topological defects dominate the deformation response of materials in processes ranging from quantum turbulence to crystal plasticity. We calculate the probability distribution function for the fluctuations in velocity $v$, using scaling…

Statistical Mechanics · Physics 2012-03-02 Luiza Angheluta , Patricio Jeraldo , Karin Dahmen , Nigel Goldenfeld

We present a one-dimensional numerical model based on elastically coupled sliders on a frictional incline of variable tilt. This very simple approach makes possible to study the precursors to the avalanche and to provide a rationalization…

Soft Condensed Matter · Physics 2017-09-20 Axelle Amon , Baptiste Blanc , Jean-Christophe Géminard

We investigate the complex spatio-temporal dynamics in avalanche driven surface growth by means of scaling theory. We study local activity statistics, avalanche kinetics, and temporal correlations in the global interface velocity, obtaining…

Statistical Mechanics · Physics 2015-05-19 Juan M. Lopez , Marc Pradas , Aurora Hernandez-Machado

In this paper, we consider a simplified model of turbulence for large Reynolds numbers driven by a constant power energy input on large scales. In the statistical stationary regime, the behaviour of the kinetic energy is characterised by…

Soft Condensed Matter · Physics 2022-02-16 Roberto Benzi , Ilaria Castaldi , Federico Toschi , Jeannot Trampert

We analyze the statistics of water droplet avalanches in a continuously driven system. Distributions are obtained for avalanche size, lifetime, and time between successive avalanches, along with power spectra and return maps. For low flow…

Disordered Systems and Neural Networks · Physics 2016-08-31 Britton Plourde , Franco Nori , Michael Bretz

Inhalation directs air through a defined pathway, initiating from nostrils, moving through the main nasal cavity, past the pharynx and trachea, and culminating in the lungs. Inhaled particles, of a range of sizes, are ferried by this…

Fluid Dynamics · Physics 2024-10-07 Emma Louwagie , Saikat Basu

Disordered systems are characterized by the existence of many sample- dependent local energy minima, that cause a stepwise response when the system is perturbed. In this article we use an approach based on elementary probabilistic methods…

Disordered Systems and Neural Networks · Physics 2017-03-08 Silvio Franz , Stefano Spigler

We investigate the avalanche dynamics of the abelian sandpile model on arbitrarily large balls of the expanded cactus graph (the Cayley graph of the free product $\mathbb{Z}_3 * \mathbb{Z}_2$). We follow the approach of Dhar and Majumdar…

Mathematical Physics · Physics 2012-05-01 Gregory Gauthier

The avalanche polynomial on a graph captures the distribution of avalanches in the abelian sandpile model. Studied on trees, this polynomial could be defined by simply considering the size of the subtrees of the original tree. In this…

Combinatorics · Mathematics 2009-05-19 Robert Cori , Anne Micheli , Dominique Rossin

The air flows in the proximal and distal portions of the human lungs are interconnected: the lower Reynolds number in the deeper generations causes a progressive flow regularization, while mass conservation requires flow rate oscillations…

Fluid Dynamics · Physics 2025-06-18 Marco Atzori , Emanuele Gallorini , Ciro Cottini , Andrea Benassi , Maurizio Quadrio

We study the statistical properties of the yielding transition in model amorphous solids in the limit of slow, athermal deformation. Plastic flow occurs via alternating phases of elastic loading punctuated by rapid dissipative events in the…

Soft Condensed Matter · Physics 2021-05-04 Céline Ruscher , Jörg Rottler

The problem of the spreading of a granular mass released at the top of a rough inclined plane was investigated. We experimentally measure the evolution of the avalanche from the initiation up to the deposit using a Moir\'e image processing…

Soft Condensed Matter · Physics 2019-06-19 Olivier Pouliquen , Yoel Forterre

The airflow in a subject-specific breathing human lung is simulated with a multiscale computational fluid dynamics (CFD) lung model. The three-dimensional (3D) airway geometry beginning from the mouth to about 7 generations of airways is…

Fluid Dynamics · Physics 2013-10-21 Jiwoong Choi , Youbing Yin , Eric A. Hoffman , Merryn H. Tawhai , Ching-Long Lin

Anomalous diffusion processes, in particular superdiffusive ones, are known to be efficient strategies for searching and navigation by animals and also in human mobility. One way to create such regimes are L\'evy flights, where the walkers…

Physics and Society · Physics 2017-02-22 Sarah de Nigris , Timoteo Carletti , Renaud Lambiotte

The airflow in the bronchi applies a shear stress on the bronchial mucus, which can move the mucus. The air--mucus interaction plays an important role in cough and in chest physiotherapy (CP). The conditions under which it induces a…

Biological Physics · Physics 2021-10-18 Jonathan Stéphano , Benjamin Mauroy

An avalanche or cascade occurs when one event causes one or more subsequent events, which in turn may cause further events in a chain reaction. Avalanching dynamics are studied in many disciplines, with a recent focus on average avalanche…

Physics and Society · Physics 2024-01-31 James P Gleeson , Rick Durrett

We analyze the scaling of avalanche precursors in the three dimensional random fuse model by numerical simulations. We find that both the integrated and non-integrated avalanche size distributions are in good agreement with the results of…

Statistical Mechanics · Physics 2016-08-16 Stefano Zapperi , Phani Kumar V. V. Nukala , Srđan Šimunović

We investigate the breakdown of disordered networks under the action of an increasing external---mechanical or electrical---force. We perform a mean-field analysis and estimate scaling exponents for the approach to the instability. By…

Statistical Mechanics · Physics 2009-10-31 Stefano Zapperi , Purusattam Ray , H. Eugene Stanley , Alessandro Vespignani

We study the scaling behaviors in the wind velocity time series collected at the atmospheric surface layer and compare them with two commonly used cascade models, the truncated stable distribution and the log-normal model. Results show that…

Fluid Dynamics · Physics 2012-12-03 Lei Liu , Fei Hu

Avalanche-like plastic bursts in crystalline materials follow power law statistics, but the scaling exponents and cutoff parameters vary widely in the literature ($\alpha$ ranging from 1 to 2.2), hindering predictive modeling. Since…

Materials Science · Physics 2026-04-24 Missipsa Aissaoui , Charlie Kahloun , Oguz Umut Salman , Sylvain Queyreau