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This paper reviews the essential physics of gravitational instability in a Robertson-Walker background spacetime. Three approaches are presented in a pedagogical manner, based on (1) the Eulerian fluid equations, (2) the Lagrangian…

天体物理学 · 物理学 2007-05-23 Edmund Bertschinger

Surface flow of granular material is investigated within a continuum approach in two dimensions. The dynamics is described by a non-linear coupling between the two `states' of the granular material: a mobile layer and a static bed.…

统计力学 · 物理学 2009-11-10 Thorsten Emig , Philippe Claudin , Jean-Philippe Bouchaud

We study the large deviation functions for two quantities characterizing the avalanche dynamics in the Raise and Peel model: the number of tiles removed by avalanches and the number of global avalanches extending through the whole system.…

数学物理 · 物理学 2018-05-08 Alexander M. Povolotsky , Pavel Pyatov , Vladimir Rittenberg

We propose an empirical extension of Yakhot's model of strong turbulence [V. Yakhot, Phys. Rev. E 57(2) (1998)] that correctly describes the statistics of longitudinal velocity increments not only in the inertial range but also for larger…

流体动力学 · 物理学 2025-04-28 Christoph Renner

Spontaneous stratification in granular mixtures has been recently reported by H. A. Makse et al. [Nature 386, 379 (1997)]. Here we study experimentally the dynamical processes leading to spontaneous stratification. Using a high-speed video…

统计力学 · 物理学 2009-10-31 Hernan A. Makse , Robin C. Ball , H. Eugene Stanley , Stephen Warr

We have investigated the spatiotemporal chaotic dynamics of unjamming and jamming of particles in a toy-model system -- a rotating drum partially filled with bidisperse disks to create avalanches. The magnitudes of the first Lyapunov vector…

软凝聚态物质 · 物理学 2015-02-04 Ziwei Wang , Jie Zhang

We introduce a model for the real-time evolution of a relativistic fluid of quarks coupled to non-equilibrium dynamics of the long wavelength (classical) modes of the chiral condensate. We solve the equations of motion numerically in 3+1…

核理论 · 物理学 2009-11-10 K. Paech , H. Stocker , A. Dumitru

In this paper, the physics of flow instability and turbulent transition in shear flows is studied by analyzing the energy variation of fluid particles under the interaction of base flow with a disturbance. For the first time, a model…

流体动力学 · 物理学 2018-06-20 Hua-Shu Dou

We report experimental measurements of avalanche behavior of thin granular layers on an inclined plane for low volume flow rate. The dynamical properties of avalanches were quantitatively and qualitatively different for smooth glass beads…

统计力学 · 物理学 2015-06-25 Tamas Borzsonyi , Thomas C. Halsey , Robert E. Ecke

The paper develops one-parametric family of the sand-piles dealing with the grains' local losses on the fixed amount. The family exhibits the crossover between the models with deterministic and stochastic relaxation. The mean height of the…

统计力学 · 物理学 2009-11-11 A. B. Shapoval , M. G. Shnirman

The effect of rotation upon the classical two-layer Rayleigh-Taylor instability is considered theoretically and compared with previous experimental results. In particular we consider a two-layer system with an axis of rotation that is…

流体动力学 · 物理学 2016-03-03 Matthew M. Scase , Kyle A. Baldwin , Richard J. A. Hill

We apply a theoretical approach, originally introduced to describe aeolian ripples formation in sandy deserts, to the study of surface instability in ion sputtered surfaces. The two phenomena are distinct by several orders of magnitudes and…

无序系统与神经网络 · 物理学 2015-06-24 T. Aste , U. Valbusa

A new model for biological growth is introduced that couples the geometry of an organism (or part of the organism) to the flow and deposition of material. The model has three dynamical variables (a) a Riemann metric tensor for the geometry,…

生物物理 · 物理学 2010-10-05 Julia Pulwicki , David Hobill

Various recent experiments hint at a geometry dependence of scaling relations in Rayleigh-B\'enard convection. Aspect ratio and shape dependences have been found. In this paper a mechanism is offered which can account for such dependences.…

混沌动力学 · 物理学 2009-11-07 Siegfried Grossmann , Detlef Lohse

We numerically study avalanches in the two dimensional Abelian sandpile model in terms of a sequence of waves of toppling events. Priezzhev et al [PRL 76, 2093 (1996)] have recently proposed exact results for the critical exponents in this…

统计力学 · 物理学 2009-10-30 Maya Paczuski , Stefan Boettcher

A few years ago, Bouchaud al. introduced a phenomenological model to describe surface flows of granular materials [J. Phys. Fr. I, 4, 1383 (1994)]. According to this model, one can distinguish between a static phase and a rolling phase that…

凝聚态物理 · 物理学 2009-10-31 Achod Aradian , Elie Raphael , Pierre-Gilles de Gennes

We study the distribution of equilibrium avalanches (shocks) in Ising spin glasses which occur at zero temperature upon small changes in the magnetic field. For the infinite-range Sherrington-Kirkpatrick model we present a detailed…

无序系统与神经网络 · 物理学 2013-05-30 Pierre Le Doussal , Markus Mueller , Kay Joerg Wiese

In this paper we revise two classical examples of Relativistic Hydrodynamics in order to illustrate in detail the numerical methods commonly used in fluid dynamics, specifically those designed to deal with shocks, which are based on a…

广义相对论与量子宇宙学 · 物理学 2012-12-07 F. S. Guzman , F. D. Lora-Clavijo , M. D. Morales

In this article, we introduce and analyse some statistical properties of a class of models of random landscapes of the form ${\cal H}({\bf x})=\frac{\mu}{2}{\bf x}^2+\sum_{l=1}^M \phi_l({\bf k}_l\cdot {\bf x}), \, \, {\bf x}\in…

无序系统与神经网络 · 物理学 2024-11-15 Bertrand Lacroix-A-Chez-Toine , Yan V. Fyodorov

An experimental study of a granular surface submitted to a circular fluid motion is presented. The appearance of an instability along the sand-water interface is observed beyond a critical radius $r_c$. This creates ripples with a spiral…

软凝聚态物质 · 物理学 2009-11-07 H. Caps , N. Vandewalle