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The vulnerability of an isolated network to cascades is fundamentally affected by its interactions with other networks. Motivated by failures cascading among electrical grids, we study the Bak-Tang-Wiesenfeld sandpile model on two…

Disordered Systems and Neural Networks · Physics 2010-10-11 Charles D. Brummitt , Raissa M. D'Souza , Elizabeth A. Leicht

Finite-size impurities suspended in incompressible flows distribute inhomogeneously, leading to a drastic enhancement of collisions. A description of the dynamics in the full position-velocity phase space is essential to understand the…

Chaotic Dynamics · Physics 2009-11-10 J. Bec , A. Celani , M. Cencini , S. Musacchio

We analyse by numerical simulations and scaling arguments the avalanche statistics of 1-dimensional elastic interfaces in random media driven at a single point. Both global and local avalanche sizes are power-law distributed, with universal…

Disordered Systems and Neural Networks · Physics 2016-01-28 L. E. Aragón , A. B. Kolton , P. Le Doussal , K. J. Wiese , E. A. Jagla

The form of political polarization where citizens develop strongly negative attitudes towards out-party policies and members has become increasingly prominent across many democracies. Economic hardship and social inequality, as well as…

General Economics · Economics 2022-10-12 Alexander J. Stewart , Joshua B. Plotkin , Nolan McCarty

Third political parties are influential in shaping American politics. In this work we study the spread of a third party ideology in a voting population where we assume that party members/activists are more influential in recruiting new…

Physics and Society · Physics 2009-11-13 Daniel M. Romero , Christopher M. Kribs-Zaleta , Anuj Mubayi , Clara Orbe

We study the phenomenon of internal avalanching within the context of recently introduced lattice models of granular media. The avalanche is produced by pulling out a grain at the base of the packing and studying how many grains have to…

Statistical Mechanics · Physics 2007-05-23 S. Krishnamurthy , H. J. Herrmann , V. Loreto , M. Nicodemi , S. Roux

We numerically study jamming transitions in pedestrian flow interacting with an attraction, mostly based on the social force model for pedestrians who can join the attraction. We formulate the joining probability as a function of social…

Physics and Society · Physics 2017-09-05 Jaeyoung Kwak , Hang-Hyun Jo , Tapio Luttinen , Iisakki Kosonen

Close to the yielding transition, amorphous solids exhibit a jerky dynamics characterized by plastic avalanches. The statistics of these avalanches have been measured experimentally and numerically using a variety of different triggering…

Soft Condensed Matter · Physics 2026-01-08 Tristan Jocteur , Eric Bertin , Romain Mari , Kirsten Martens

The Abelian sandpile model serves as a canonical example of self-organized criticality. This critical behavior manifests itself through large cascading events triggered by small perturbations. Such large-scale events, known as avalanches,…

Optimization and Control · Mathematics 2026-03-26 Maike C. de Jongh , Richard J. Boucherie , M. N. M. van Lieshout

In many complex systems studied in statistical physics, inter-arrival times between events such as solar flares, trades and neuron voltages follow a heavy-tailed distribution. The set of event times is fractal-like, being dense in some time…

Statistics Theory · Mathematics 2020-09-16 Katharina Hees , Smarak Nayak , Peter Straka

We study the scaling properties of avalanche activity in the two-dimensional Abelian sandpile model. Instead of the conventional avalanche size distribution, we analyze the site activity distribution, which measures how often a site…

Statistical Mechanics · Physics 2025-10-14 Anubhav Ganguly

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

Risk-driven behavior provides a feedback mechanism through which individuals both shape and are collectively affected by an epidemic. We introduce a general and flexible compartmental model to study the effect of heterogeneity in the…

In this report, the explicit probability density functions of the random Euclidean distances associated with equilateral triangles are given, when the two endpoints of a link are randomly distributed in 1) the same triangle, 2) two adjacent…

General Mathematics · Mathematics 2013-07-04 Yanyan Zhuang , Jianping Pan

We investigate entanglement dynamics in multipartite systems, establishing a quantitative concept of entanglement flow: both flow through individual particles, and flow along general networks of interacting particles. In the former case,…

Quantum Physics · Physics 2009-11-10 T. S. Cubitt , F. Verstraete , J. I. Cirac

We have studied the statistics of plastic rearrangement events in a simulated amorphous solid at T=0. Events are characterized by the energy release and the ``slip volume'', the product of plastic strain and system volume. Their…

Materials Science · Physics 2016-08-17 N. P. Bailey , J Schiøz , A. Lemaître , K. W. Jacobsen

Information and individual activities often spread globally through the network of social ties. While social contagion phenomena have been extensively studied within the framework of threshold models, it is common to make an assumption that…

Physics and Society · Physics 2023-06-07 Teruyoshi Kobayashi

We study a one-dimensional system of spatially extended particles, which are fixated to regularly spaced locations by means of elastic springs. The particles are assumed to be driven by a Gaussian noise and to have dissipative,…

Statistical Mechanics · Physics 2014-04-30 Roman Mani , Lucas Böttcher , Hans J. Herrmann , Dirk Helbing

We investigated the clogging behavior observed during the flow of aspherical particles from a silo in the presence of spherical particles of different sizes and proportions using flow visualization experiments and discrete element method…

Soft Condensed Matter · Physics 2024-07-03 Sukhada C. Bhure , Pankaj Doshi , Ashish V. Orpe

In order to investigate collective effects of interactions between pedestrians and attractions, this study extends the social force model. Such interactions lead pedestrians to form stable clusters around attractions, or even to rush into…

Physics and Society · Physics 2017-09-07 Jaeyoung Kwak , Hang-Hyun Jo , Tapio Luttinen , Iisakki Kosonen