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Emergence is a concept that is easy to exhibit, but very hard to formally handle. This paper is about cubic sand grains moving around on nicely packed columns in one dimension (the physical sandpile is two dimensional, but the support of…

Discrete Mathematics · Computer Science 2013-12-17 Kévin Perrot , Eric Rémila

We investigate compound drops composed of two immiscible nonvolatile partially wetting liquids that slide down an inclined homogeneous smooth solid substrate based on a mesoscopic hydrodynamic two-layer model in full-curvature formulation.…

Fluid Dynamics · Physics 2026-03-30 Dominik Thy , Jan Diekmann , Uwe Thiele

We investigate dynamics of deformable self-propelled particles with a repulsive interaction whose magnitude depends on the relative direction of elongation of a pair of particles. A collective motion of the particles appears in two…

Soft Condensed Matter · Physics 2015-05-27 Yu Itino , Takahiro Ohkuma , Takao Ohta

We investigate sandpile models where the updating of unstable columns is done according to a stochastic rule. We examine the effect of introducing nonlocal relaxation mechanisms. We find that the models self-organize into critical states…

Statistical Mechanics · Physics 2009-10-30 L. A. N. Amaral , K. B. Lauritsen

Both the deterministic and stochastic sandpile models are studied on the percolation backbone, a random fractal, generated on a square lattice in $2$-dimensions. In spite of the underline random structure of the backbone, the deterministic…

Statistical Mechanics · Physics 2020-05-20 Himangsu Bhaumik , S. B. Santra

Slow-fast dynamical systems, i.e., singularly or non-singularly perturbed dynamical systems possess slow invariant manifolds on which trajectories evolve slowly. Since the last century various methods have been developed for approximating…

Chaotic Dynamics · Physics 2021-06-30 Jean-Marc Ginoux

Active matter deals with systems whose particles consume energy at the individual level in order to move. To unravel features such as the emergence of collective structures several models have been suggested, such as the on-lattice model of…

Segregation and mixing of granular mixtures during heap formation have important consequences in industry and agriculture. This research investigates three different final particle configurations of bi-disperse granular mixtures --…

Soft Condensed Matter · Physics 2012-12-03 Yi Fan , Youcef Boukerkour , Thibault Blanc , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

Particle filters flexibly represent multiple posterior modes nonparametrically, via a collection of weighted samples, but have classically been applied to tracking problems with known dynamics and observation likelihoods. Such generative…

Machine Learning · Computer Science 2024-04-16 Ali Younis , Erik Sudderth

We compute the dynamic structure factors of a dense binary liquid mixture. These describe dynamics on molecular length scales, where structural relaxation is important. We find that the presence of a few large particles in a dense fluid of…

Soft Condensed Matter · Physics 2009-11-11 Supurna Sinha

Avalanche behavior of gravitationally-forced granular layers on a rough inclined plane are investigated experimentally for different materials and for a variety of grain shapes ranging from spherical beads to highly anisotropic particles…

Soft Condensed Matter · Physics 2008-04-01 Tamas Borzsonyi , Thomas C. Halsey , Robert E. Ecke

We examined the lane formation dynamics of oppositely self-driven binary particles by molecular dynamics simulations of a two-dimensional system. Our study comprehensively revealed the effects of the density and system size on the lane…

Soft Condensed Matter · Physics 2017-03-23 Kosuke Ikeda , Kang Kim

We investigate the down-hill creep of a layer of granular material on a slope caused by an oscillatory variation of the size of the particles. The material is modeled as an athermal two dimensional polydisperse system of soft disks under…

Soft Condensed Matter · Physics 2022-08-31 E. A. Jagla

Failure of amorphous materials is characterized by the emergence of dissipation. The connection between particle dynamics, dissipation, and overall material rheology, however, has still not been elucidated. Here, we take a new approach…

Soft Condensed Matter · Physics 2021-08-09 K. L. Galloway , D. J. Jerolmack , P. E. Arratia

Model experiments are reported on the build-up of granular piles in two dimensions. These show that as the initial density of falling grains is increased, the resulting pile has decreasing final density and its coordination number…

Soft Condensed Matter · Physics 2007-05-23 R Blumenfeld , S F Edwards , R C Ball

We propose a new model for the description of complex granular particles and their interaction in molecular dynamics simulations of granular material in two dimensions. The grains are composed of triangles which are connected by deformable…

adap-org · Physics 2012-08-29 Thorsten Poeschel , Volkhard Buchholtz

Granular surfaces tend to develop lateral ripples under the action of surface forces exerted by rolling wheels, an effect known as washboard or corrugated road. We report the results of both laboratory experiments and soft-particle direct…

Pattern Formation and Solitons · Physics 2009-11-13 Nicolas Taberlet , Stephen W. Morris , Jim N. McElwaine

We consider a stochastic sandpile where the sand-grains of unstable sites are randomly distributed to the nearest neighbors. Increasing the value of the threshold condition the stochastic character of the distribution is lost and a…

Statistical Mechanics · Physics 2009-10-31 S. Lubeck

Heavy and light particles are commonly found in many natural phenomena and industrial processes, such as suspensions of bubbles, dust, and droplets in incompressible turbulent flows. Based on a recent machine learning approach using a…

Fluid Dynamics · Physics 2024-06-10 Tianyi Li , Samuele Tommasi , Michele Buzzicotti , Fabio Bonaccorso , Luca Biferale

According to Pruessner and Peters [Phys. Rev. E {\bf 73}, 025106(R) (2006)], the finite size scaling exponents of the order parameter in sandpile models depend on the tuning of driving and dissipation rates with system size. We point out…

Statistical Mechanics · Physics 2009-11-13 Mikko J. Alava , Lasse Laurson , Alessandro Vespignani , Stefano Zapperi
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