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We briefly review the basics ideas and results of a recently proposed statistical mechanical approach to granular materials. Using lattice models from standard Statistical Mechanics and results from a mean field replica approach and Monte…

Condensed Matter · Physics 2009-10-31 Antonio Coniglio , Mario Nicodemi

Reactive lattice gas automata provide a microscopic approachto the dynamics of spatially-distributed reacting systems. After introducing the subject within the wider framework of lattice gas automata (LGA) as a microscopic approach to the…

comp-gas · Physics 2009-10-28 Jean Pierre Boon , David Dab , Raymond Kapral , Anna Lawniczak

In order to study analytically the nature of the jamming transition in granular material, we have considered a cavity method mean field theory, in the framework of a statistical mechanics approach, based on Edwards' original idea. For…

Statistical Mechanics · Physics 2009-11-10 A. Fierro , M. Nicodemi , M. Tarzia , A. de Candia , A. Coniglio

A granular media lattice gas (GMLG) model is used to study avalanches in a two-dimensional granular pile. We demonstrate the efficiency of the algorithm by showing that several features of the non-critical behaviour of real sandpile…

Soft Condensed Matter · Physics 2009-10-30 Antal Karolyi , Janos Kertesz

Jamming transitions and the rheology of granular avalanches in fluids are investigated using experiments and numerical simulations. Simulations use the lattice-Boltzmann method coupled with the discrete element method, providing detailed…

Soft Condensed Matter · Physics 2024-08-27 Zhuan Ge , Teng Man , Kimberly M. Hill , Yujie Wang , Sergio Andres Galindo-Torres

The past two decades showed a rapid growing of physically-based modeling of fluids for computer graphics applications. In this area, a common top down approach is to model the fluid dynamics by Navier-Stokes equations and apply a numerical…

Graphics · Computer Science 2007-05-23 Gilson A. Giraldi , Adilson V. Xavier , Antonio L. Apolinario , Paulo S. Rodrigues

The dynamics of the jamming transition in a three-dimensional granular system under vertical vibration is studied using diffusing-wave spectroscopy. When the maximum acceleration of the external vibration is large, the granular system…

Statistical Mechanics · Physics 2007-05-23 Kipom Kim , Jong Kyun Moon , Jong Jin Park , Hyung Kook Kim , Hyuk Kyu Pak

Lattice gas algorithms (LGA) are a class of algorithms including, in chronological order, binary lattice gas cellular automata (LGCA), integer lattice gas algorithms (ILGA) and lattice Boltzmann method (LBM). They are largely used for…

Quantum Physics · Physics 2025-09-04 Niccolò Fonio , Ljubomir Budinski , Valtteri Lahtinen , Pierre Sagaut

We present here the preliminary results obtained for two experiments on randomly agitated granular assemblies using a novel way of shaking. First we discuss the transport properties of a 2D model system undergoing classical shaking that…

Statistical Mechanics · Physics 2009-11-10 G. Caballero , A. Lindner , G. Ovarlez , G. Reydellet , J. Lanuza , E. Clement

A new class of lattice gas models with trivial interactions but constrained dynamics are introduced. These are proven to exhibit a dynamical glass transition: above a critical density, rho_c, ergodicity is broken due to the appearance of an…

Statistical Mechanics · Physics 2009-11-11 Cristina Toninelli , Giulio Biroli , Daniel S. Fisher

We propose a new scenario for glassy dynamics in frustrated systems with no quenched-in randomness, based on jamming of extended dynamical structures near a critical point. This route to a glassy state is demonstrated in a lattice model of…

Statistical Mechanics · Physics 2007-05-23 Dibyendu Das , Jane' Kondev , Bulbul Chakraborty

In the framework of schematic hard spheres lattice models for granular media we investigate the phenomenon of the ``jamming transition''. In particular, using Edwards' approach, by analytical calculations at a mean field level, we derive…

Statistical Mechanics · Physics 2009-11-10 M. Tarzia , A. de Candia , A. Fierro , M. Nicodemi , A. Coniglio

We investigate the jamming transition in packings of emulsions and granular materials via molecular dynamics simulations. The emulsion model is composed of frictionless droplets interacting via nonlinear normal forces obtained using…

Soft Condensed Matter · Physics 2009-11-11 H. P. Zhang , H. A. Makse

Granular solid hydrodynamics, constructed to describe quasi-elastic and plastic motion of granular solid, is shown also capable of accounting for the rheology of granular dense flow. This makes it a unified, though still qualitative,…

Soft Condensed Matter · Physics 2010-10-27 Stefan Mahle , Yimin Jiang , Mario Liu

We use computer simulations to study the microscopic dynamics of an athermal assembly of soft particles near the fluid-to-solid, jamming transition. Borrowing tools developed to study dynamic heterogeneity near glass transitions, we…

Materials Science · Physics 2010-06-24 Claus Heussinger , Ludovic Berthier , Jean-Louis Barrat

In the framework of schematic hard spheres lattice models we discuss Edwards' Statistical Mechanics approach to granular media. As this approach appears to hold here to a very good approximation, by analytical calculations of Edwards'…

Statistical Mechanics · Physics 2007-05-23 M. Nicodemi , A. Coniglio , A. de Candia , A. Fierro , M. Pica Ciamarra , M. Tarzia

Various lattice gas automata have been proposed in the past decades to simulate physics and address a host of problems on collective dynamics arising in diverse fields. In this work, we employ the lattice gas model defined on the sphere to…

Statistical Mechanics · Physics 2017-12-29 Zhenwei Yao

Building upon the Integer Lattice Gas Automata framework of Blommel \textit{et al.} \cite{PhysRevE.97.023310}, we introduce a simplified, fluctuation-free variant. This approach relies on floating-point numbers and closely mirrors the…

Lattice Gas Automata (LGA) is a classical method for simulating physical phenomena, including Computational Fluid Dynamics (CFD). Quantum LGA (QLGA) is the family of methods that implement LGA schemes on quantum computers. In recent years,…

Quantum Physics · Physics 2025-12-23 Călin A. Georgescu , Merel A. Schalkers , Matthias Möller

Random sequential adsorption of binary mixtures of extended objects on a two-dimensional triangular lattice is studied numerically by means of Monte Carlo simulations. The depositing objects are formed by self-avoiding random walks on the…

Statistical Mechanics · Physics 2009-11-13 I. Lončarević , Lj. Budinski-Petković , S. B. Vrhovac
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