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Related papers: A statistical mechanics framework for static granu…

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We introduce a new framework to analyze shape descriptors that capture the geometric features of an ensemble of point clouds. At the core of our approach is the point of view that the data arises as sampled recordings from a metric…

Statistics Theory · Mathematics 2024-09-11 Anne van Delft , Andrew J. Blumberg

Many systems in nature exhibit transitions between fluid-like states and solid-like states, or "jamming transitions". There is a strong theoretical foundation for understanding equilibrium phase transitions that involve solidification, or…

Soft Condensed Matter · Physics 2008-11-14 Michael Dennin

A systematic and mechanistic connection between granular materials' macroscopic and grain level behaviors is developed for monodisperse systems of spherical elastic particles under die compaction. The Granular Micromechanics Approach (GMA)…

Soft Condensed Matter · Physics 2018-02-15 Payam Poorsolhjouy , Marcial Gonzalez

The effect of finite temperature $T$ and finite strain rate $\dot\gamma$ on the statistical physics of plastic deformations in amorphous solids made of $N$ particles is investigated. We recognize three regimes of temperature where the…

Statistical Mechanics · Physics 2015-05-19 Smarajit Karmakar , Edan Lerner , Itamar Procaccia , Jacques Zylberg

Thermal fluctuations are not large enough to lead to state changes in granular materials. However, such materials do achieve reproducible bulk properties, suggesting that they are controlled by an underlying statistical mechanics analogous…

Soft Condensed Matter · Physics 2020-05-13 James D Sartor , Eric I Corwin

We present a classical kinetically constrained model of interacting particles on a triangular ladder, which displays diffusion and jamming and can be treated by means of a classical-quantum mapping. Interpreted as a theory of interacting…

Statistical Mechanics · Physics 2025-05-16 Abhishek Raj , Vadim Oganesyan , Antonello Scardicchio

A fundamental theory is presented for the mechanical response of polymer networks undergoing large deformation which seamlessly integrates statistical mechanical principles with macroscopic thermodynamic constitutive theory. Our formulation…

Soft Condensed Matter · Physics 2020-07-06 Michael R. Buche , Meredith N. Silberstein

We apply the statistical mechanical approach based on the ``flat'' measure proposed by Edwards and coworkers to the parking lot model, a model that reproduces the main features of the phenomenology of vibrated granular materials. We first…

Statistical Mechanics · Physics 2009-11-10 G. Tarjus , P. Viot

3D Computer simulations and experiments are employed to study random packings of compressible spherical grains under external confining stress. Of particular interest is the rigid ball limit, which we describe as a continuous transition in…

Soft Condensed Matter · Physics 2009-10-31 Hernan A. Makse , David L. Johnson , Lawrence M. Schwartz

By minimizing the enthalpy of packings of frictionless particles, we obtain jammed solids at desired pressures and hence investigate the jamming transition with and without shear. Typical scaling relations of the jamming transition are…

Soft Condensed Matter · Physics 2018-08-01 Wen Zheng , Shiyun Zhang , Ning Xu

We numerically study the jamming transition of frictionless polydisperse spheres in three dimensions. We use an efficient thermalisation algorithm for the equilibrium hard sphere fluid and generate amorphous jammed packings over a range of…

Statistical Mechanics · Physics 2017-10-16 Misaki Ozawa , Ludovic Berthier , Daniele Coslovich

The impacts of granular jets for both frictional and frictionless grains in two dimensions are numerically investigated. A dense flow with a dead zone emerges during the impact. From our two-dimensional simulation, we evaluate the equations…

Statistical Mechanics · Physics 2013-10-09 Tomohiko G. Sano , Hisao Hayakawa

Flowing granular materials often abruptly arrest if not driven by sufficient applied stresses. Such abrupt cessation of motion can be economically expensive in industrial materials handling and processing, and is significantly consequential…

Soft Condensed Matter · Physics 2022-01-28 Ishan Srivastava , Leonardo E. Silbert , Jeremy B. Lechman , Gary S. Grest

We study experimentally the relaxation towards mechanical equilibrium of a granular pile which has just experienced an avalanche and discuss it in the more general context of the granular jamming transition. Two coexisting dynamics are…

Soft Condensed Matter · Physics 2009-11-10 S. Deboeuf , E. M. Bertin , E. Lajeunesse , O. Dauchot

Classical soil mechanics results are used to propose the equation of the jamming transition surface in the (stress, specific volume) space. Taking axis-ymmetric conditions, labelling q the deviatoric stress and p' the mean pressure applied…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque

Here we theoretically and computationally study the frequency dependence of phase speed and attenuation for marine sediments from the perspective of granular mechanics. We leverage recent theoretical insights from the granular physics…

Soft Condensed Matter · Physics 2024-05-13 Abram H. Clark , Derek R. Olson , Andrew J. Swartz , W. Mason Starnes

It is demonstrated, by numerical simulations of a 2D assembly of polydisperse disks, that there exists a range (plateau) of coarse graining scales for which the stress tensor field in a granular solid is nearly resolution independent,…

Statistical Mechanics · Physics 2007-05-23 C. Goldenberg , A. P. F. Atman , P. Claudin , G. Combe , I. Goldhirsch

The fact that a disordered material is not constrained in its properties in the same way as a crystal presents significant and yet largely untapped potential for novel material design. However, unlike their crystalline counterparts,…

Soft Condensed Matter · Physics 2015-10-30 Carl P. Goodrich

Seismogenic plate boundaries are presumed to behave in a similar manner to a densely packed granular medium, where fault and blocks systems rapidly rearrange the distribution of forces within themselves, as particles do in slowly sheared…

Particulate matter, such as foams, emulsions, and granular materials, attain rigidity in a dense regime: the rigid phase can yield when a threshold force is applied. The rigidity transition in particulate matter exhibits {\it bona fide}…

Soft Condensed Matter · Physics 2019-01-30 S. H. E. Rahbari , J. Vollmer , Hyunggyu Park