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We show that the main dynamical features of granular media can be understood by means of simple models of fragile-glass forming liquid provided that gravity alone is taken into account. In such lattice-gas models of cohesionless and…

Statistical Mechanics · Physics 2009-10-31 M. Sellitto , J. J. Arenzon

Motivated by recent experiments on the approach to jamming of a weakly forced granular medium using an immersed torsion oscillator [Nature 413 (2001) 407], we propose a simple model which relates the microscopic dynamics to macroscopic…

Statistical Mechanics · Physics 2009-11-07 G. D'Anna , P. Mayor , G. Gremaud , A. Barrat , V. Loreto

An analytical framework is proposed to describe the elasticity, viscosity and fragility of metallic glasses in relation to their atomic-level structure and the effective interatomic interaction. The bottom-up approach starts with forming an…

Soft Condensed Matter · Physics 2016-08-15 Alexandra E. Lagogianni , Johannes Krausser , Zach Evenson , Konrad Samwer , A Zaccone

These lecture notes cover the statics and glassy dynamics of granular media. Most of the lectures were in fact devoted to `force propagation' models. We discuss the experimental and theoretical motivations for these approaches, and their…

Condensed Matter · Physics 2007-05-23 J-P Bouchaud

A recently published analytical model, describing and predicting elasticity, viscosity, and fragility of metallic melts, is applied for the analysis of about 30 nonmetallic glassy systems, ranging from oxide network glasses to alcohols,…

Disordered Systems and Neural Networks · Physics 2020-09-25 Peter Lunkenheimer , Felix Humann , Alois Loidl , Konrad Samwer

A viscoelastic model is established to reveal the relation between alpha-beta relaxation of glass and the double-peak phenomenon in the experiments of impulse excited vibration. In the modelling, the normal mode analysis (NMA) of potential…

Disordered Systems and Neural Networks · Physics 2020-02-19 Jianbiao Wang , Xu Wang , Haihui Ruan

By means of a simple model system, the total volume fluctuations of a tapped granular material in the steady state are studied. In the limit of a system with a large number of particles, they are found to be Gaussian distributed, and…

Statistical Mechanics · Physics 2010-04-20 J. J. Brey , A. Prados

The recently proposed non-additive stochastic model (NSM) offers a coherent physical interpretation for diffusive phenomena in glass-forming systems. This model presents non-exponential relationships between viscosity, activation energy,…

A mesoscopic model is proposed to explain the anomalous dynamics in a supercooled liquid as its glass transition temperature is approached from above. The model is based on the assumption of $\beta$ organized $\alpha$ process, with the…

Soft Condensed Matter · Physics 2007-05-23 Dwaipayan Chakrabarti , Biman Bagchi

Here we introduce a variation of the trap model of glasses based on softness, a local structural variable identified by machine learning, in supercooled liquids. Softness is a particle-based quantity that reflects the local structural…

Soft Condensed Matter · Physics 2024-03-29 Sean A. Ridout , Indrajit Tah , Andrea J. Liu

We develop a model free energy from an expansion that basically includes graphs without loops. From this calculation, we derive the temperature dependence of the density (or specific volume), the typical time scale of the…

Disordered Systems and Neural Networks · Physics 2016-10-28 Henrich Frielinghaus

We present a thermodynamic theory of weakly excited two-dimensional granular systems from the view point of elementary excitations of spinless Fermion systems. We introduce a global temperature T that is associated with the acceleration…

Materials Science · Physics 2009-10-30 Hisao Hayakawa , Daniel C. Hong

I briefly describe how mean-field glass models can be extended to the case in which the bath and friction are non-thermal, thus promoting them to granular matter mean-field caricatures. Solving their dynamics one discovers a temperature…

Statistical Mechanics · Physics 2016-11-23 Jorge Kurchan

We review a new theory of viscoelasticity of a glass-forming viscous liquid near and below the glass transition. In our model we assume that each point in the material has a specific viscosity, which varies randomly in space according to a…

Disordered Systems and Neural Networks · Physics 2016-04-27 Walter Schirmacher , Giancarlo Ruocco , Valerio Mazzone

We study the dynamics of a glassy model with infinite range interactions externally driven by an oscillatory force. We find a well-defined transition in the (Temperature-Amplitude-Frequency) phase diagram between (i) a `glassy' state…

Statistical Mechanics · Physics 2009-10-31 Ludovic Berthier , Leticia F. Cugliandolo , Jose Luis Iguain

We describe a model for the thermodynamics and dynamics of glass-forming liquids in terms of excitations from an ideal glass state to a Gaussian manifold of configurationally excited states. The quantitative fit of this three parameter…

Soft Condensed Matter · Physics 2015-06-25 Dmitry V. Matyushov , C. A. Angell

A possible approach to the statistical description of granular assemblies starts from Edwards' assumption that all blocked states occupying the same volume are equally probable (S.F. Edwards, R. Oakeshott, Physica A 157, 1080 (1989)). We…

Statistical Mechanics · Physics 2015-10-22 Volker Becker , Klaus Kassner

We develop the concept of frequency dependent effective mass, M(omega), of jammed granular materials which occupy a rigid cavity to a filling fraction of 48%, the remaining volume being air of normal room condition or controlled humidity.…

Soft Condensed Matter · Physics 2016-04-06 Chaur-Jian Hsu , David L. Johnson , Rohit A. Ingale , John J. Valenza , Nicolas Gland , Hernan A. Makse

We study the viscoelastic response of amorphous polymers using theory and simulations. By accounting for internal stresses and considering instantaneous normal modes (INMs) within athermal non-affine theory, we make parameter-free…

The dynamics of granular media in the jammed, glassy region is described in terms of "modes", by applying a Principal Component Analysis (PCA) to the covariance matrix of the position of individual grains. We first demonstrate that this…

Soft Condensed Matter · Physics 2010-07-06 Carolina Brito , Olivier Dauchot , Giulio Biroli , Jean-Philippe Bouchaud
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