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It is shown here that fracture after a brief plastic strain, typically of a few percents, is a necessary consequence of the polycrystalline nature of the materials. The polycrystal undergoing plastic deformation is modeled as a flowing…

Materials Science · Physics 2018-08-28 Miguel Lagos , César Retamal , Rodrigo Valle

A sandpile model with stochastic toppling rule is studied. The control parameters and the phase diagram are determined through a MF approach, the subcritical and critical regions are analyzed. The model is found to have some similarities…

Condensed Matter · Physics 2009-10-31 Alexei Vazquez , Oscar Sotolongo-Costa

We revisit the question whether the critical behavior of sandpile models with sticky grains is in the directed percolation universality class. Our earlier theoretical arguments in favor, supported by evidence from numerical simulations […

Statistical Mechanics · Physics 2010-09-03 P. K. Mohanty , Deepak Dhar

We report a novel surface-tension driven instability observed for droplets spreading on a compliant substrate. When a droplet is released on the surface of an agar gel, it forms arms/cracks when the ratio of surface tension gradient to gel…

Soft Condensed Matter · Physics 2009-11-11 Karen E. Daniels , Shomeek Mukhopadhyay , Paul J. Houseworth , Robert P. Behringer

The effect of pitch of the pillars and impact velocity are studied for the impact dynamics of a microliter water droplet on a micropillared hydrophobic surface. The results are presented qualitatively by the high-speed photography and…

Fluid Dynamics · Physics 2016-01-06 Nagesh D. Patil , Rajneesh Bhardwaj , Atul Sharma

We address the flutter instability of a flexible plate immersed in an axial flow. This instability is similar to flag flutter and results from the competition between destabilising pressure forces and stabilising bending stiffness. In…

Fluid Dynamics · Physics 2015-03-13 Christophe Eloy , Romain Lagrange , Claire Souilliez , Lionel Schouveiler

A mean-field sandpile model that exhibits self-organized criticality (SOC) despite violation of the grain-transfer conservation law during avalanches is proposed. The sandpile consists of $N$ agents and possesses background activity with…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Dranreb Earl Juanico

Kinetic self-avoiding trails are introduced and used to generate a substrate of randomly quenched flow vectors. Sandpile model is studied on such a substrate with asymmetric toppling matrices where the precise balance between the net…

Statistical Mechanics · Physics 2009-11-11 R. Karmakar , S. S. Manna

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

This paper applies the theory of continuous phase transitions of statistical mechanics to a slider-block model. The slider-block model is chosen as a representative of systems with avalanches. Similar behavior can be observed in a…

Statistical Mechanics · Physics 2009-09-20 S. G. Abaimov

We investigate the effects of lateral walls on the angle of movement and on the angle of repose of a granular pile. Our experimental results for beads immersed in water are similar to previous results obtained in air and to recent numerical…

Soft Condensed Matter · Physics 2009-11-07 S. Courrech du Pont , P. Gondret , B. Perrin , M. Rabaud

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

We examine the stability of a low-mass stellar system surrounding a massive central object. Examples of such systems include the centers of galaxies or star clusters containing a massive black hole, and the Oort comet cloud. If the…

Astrophysics · Physics 2009-11-10 Scott Tremaine

A fundamental aspect of the three-body problem is its stability. Most stability studies have focused on the co-planar three-body problem, deriving analytic criteria for the dynamical stability of such pro/retrograde systems. Numerical…

Earth and Planetary Astrophysics · Physics 2016-12-02 Evgeni Grishin , Hagai B. Perets , Yossef Zenati , Erez Michaely

A two state sandpile model with preferential sand distribution is developed and studied numerically on scale free networks with power-law degree ($k$) distribution, {\em i.e.}: $P_k\sim k^{-\alpha}$. In this model, upon toppling of a…

Statistical Mechanics · Physics 2017-05-31 Himangsu Bhaumik , S. B. Santra

Farmed landscapes provide a natural laboratory to test how management reshapes near-surface hydrodynamics. Combining distributed acoustic sensing with physics-based hydromechanical modeling, we tracked minute-resolution, meter-scale changes…

We construct a sandpile model for evolution of the energy spectrum of the water surface waves in finite basins. This model take into account loss of resonant wave interactions in discrete Fourier space and restoration of these interactions…

Chaotic Dynamics · Physics 2009-11-11 Sergey Nazarenko

The stability of powergrid is crucial since its disruption affects systems ranging from street lightings to hospital life-support systems. Nevertheless, large blackouts are inevitable if powergrids are in the state of self-organized…

Physics and Society · Physics 2018-10-18 Ho Fai Po , Chi Ho Yeung , An Zeng , K. Y. Michael Wong

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

We study sandpile models as closed systems, with conserved energy density $\zeta$ playing the role of an external parameter. The critical energy density, $\zeta_c$, marks a nonequilibrium phase transition between active and absorbing…

Statistical Mechanics · Physics 2016-08-31 Alessandro Vespignani , Ronald Dickman , Miguel A. Munoz , Stefano Zapperi