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We consider a continuum mathematical model of biological tissue formation inspired by recent experiments describing thin tissue growth in 3D-printed bioscaffolds. The continuum model involves a partial differential equation describing the…

Tissues and Organs · Quantitative Biology 2021-11-23 Maud El-Hachem , Scott W McCue , Matthew J Simpson

In this work, models of rubble pile binary secondaries are simulated in different spin states in a system similar in size and scale to Didymos-Dimorphos. The numerical modeling is performed in the N-body Chrono-based software GRAINS, which…

Earth and Planetary Astrophysics · Physics 2025-07-15 Ethan R. Burnett , Iosto Fodde , Fabio Ferrari

We investigate the evolution of dusty gas clouds falling into the centre of an active Seyfert nucleus. Two-dimensional high-resolution radiation hydrodynamics simulations are performed to study the fate of single clouds and the interaction…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Marc Schartmann , Martin Krause , Andreas Burkert

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

If a granular material is poured from above on a horizontal surface between two parallel, vertical plates, a sand heap grows in time. For small piles, the grains flow smoothly downhill, but after a critical pile size $X_c$, the flow becomes…

Soft Condensed Matter · Physics 2022-06-14 L. Alonso-Llanes , E. Martínez , A. J. Batista-Leyva , R. Toussaint , E. Altshuler

Pour sand into a container and only the grains near the top surface move. The collective motion associated with the translational and rotational energy of the grains in a thin flowing layer is quickly dissipated as friction through…

A dynamical transition separating intermittent and continuous flow is observed in a sandpile model, with scaling functions relating the transport behaviors between both regimes. The width of the active zone diverges with system size in the…

Statistical Mechanics · Physics 2009-10-31 Alvaro Corral , Maya Paczuski

In this paper, we consider a system of partial differential equations modeling the evolution of a landscape. A ground surface is eroded by the flow of water over it, either by sedimentation or dilution. The system is composed by three…

Analysis of PDEs · Mathematics 2023-11-21 Julie Binard , Pierre Degond , Pascal Noble

Numerical simulations of dynamos in rotating Rayleigh-B\'enard convection in plane layers are presented. Two different types of dynamos exist which obey different scaling laws for the amplitude of the magnetic field. The transition between…

Fluid Dynamics · Physics 2015-06-12 A. Tilgner

Multiple avalanches, initiated by simultaneously toppling neighbouring sites, are studied in three different directed sandpile models. It is argued that, while the single avalanche exponents are different for the three models, a suitably…

Statistical Mechanics · Physics 2011-05-13 R. Rajesh

Psammophilous plants are special plants that flourish in sand moving environments. There are two main mechanisms by which the wind affects these plants: (i) sand drift exposes roots and covers branches--the exposed roots turn into new…

Biological Physics · Physics 2015-06-17 Golan Bel , Yosef Ashkenazy

Considering two-dimensional potential ideal flow with free surface and finite depth, we study the dynamics of small-amplitude and short-wavelength wavetrains propagating on the background of a steepening nonlinear wave. This can be seen as…

Fluid Dynamics · Physics 2018-08-08 Alexei A. Mailybaev , Andre Nachbin

When submitted to the repeated passages of vehicles unpaved roads made of sand or gravel can develop a ripply pattern known as washboard or corrugated road. We propose a stability analysis based on experimental measurements of the force…

Soft Condensed Matter · Physics 2013-01-21 Baptiste Percier , Sébastien Manneville , Nicolas Taberlet

We present in this paper a simplification of the dune model proposed by Sauermann et al. which keeps the basic mechanisms but allows analytical and parametric studies. Two kinds of purely propagative two dimensional solutions are exhibited:…

Condensed Matter · Physics 2015-06-24 Bruno Andreotti , Philippe Claudin

In the single-source sandpile model, a number $N$ grains of sand are positioned at a central vertex on the 2-dimensional grid $\mathbb{Z}^2$. We study the stabilisation of this configuration for a stochastic sandpile model based on a…

Probability · Mathematics 2022-08-23 Thomas Selig , Haoyue Zhu

We consider a modified BCRE model for pile surface dynamics (Bouchaud, Cates, Ravi Prakash, and Edwards, J. Phys. I France, v. 4, p. 1383, 1994) and show that in the long-scale limit this model converges to a quasistationary model of pile…

Soft Condensed Matter · Physics 2009-10-31 Leonid Prigozhin , Boris Zaltzman

Two-dimensional simulations are used to explore topological transitions that occur during the formation of films grown from grains that are seeded on substrates. This is done for a relatively large range of the initial value $\Phi_s$ of the…

Materials Science · Physics 2022-01-21 Stoffel D. Janssens , David Vázquez-Cortés , Eliot Fried

With a toppling rule which generates metastable sites, we explore the properties of a gradient-driven sandpile that is minimally perturbed at one boundary. In two dimensions we find that the transport of grains takes place along deep…

Statistical Mechanics · Physics 2009-11-07 Lucian Anton , Hendrik B. Geyer

We present simulations of granular flows in a modified Couette cell, using a continuum model recently proposed for dense granular flows. Based on a friction coefficient, which depends on an inertial number, the model captures the positions…

Soft Condensed Matter · Physics 2009-11-13 Pierre Jop

Close to the onset of Aeolian particle transport through saltation we find in wind tunnel experiments a regime of discontinuous flux characterized by bursts of activity. Scaling laws are observed in the time delay between each burst and in…

Atmospheric and Oceanic Physics · Physics 2015-07-29 M. V. Carneiro , K. R. Rasmussen , H. J. Herrmann