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At the core of equilibrium statistical mechanics lies the notion of statistical ensembles: a collection of microstates, each occurring with a given a priori probability that depends only on a few macroscopic parameters such as temperature,…

Statistical Mechanics · Physics 2015-06-19 Dapeng Bi , Silke Henkes , Karen E. Daniels , Bulbul Chakraborty

A new first-principles statistical mechanics formulation is proposed to describe slow and dilated granular fluids, where prolonged intergranular contacts vitiate collision theory. The contacts, where all the important physics takes place,…

Soft Condensed Matter · Physics 2016-03-08 Raphael Blumenfeld

We describe the elasticity of compressed microgel suspensions starting from a core--shell model for the single particle. The mechanical properties of the inner core and of the outer corona are described via the mean field Flory theory, and…

Soft Condensed Matter · Physics 2013-05-16 G. Romeo , M. Pica Ciamarra

Entropy and the fluctuation-dissipation theorem are at the heart of statistical mechanics near equilibrium. Driving a system beyond the linear response regime leads to (i) the breakdown of the fluctuation-dissipation theorem and (ii) a…

Statistical Mechanics · Physics 2010-09-10 Thomas Speck

Fluctuations of the local volume fraction within granular materials have previously been observed to decrease as the system approaches jamming. We experimentally examine the role of boundary conditions and inter-particle friction $\mu$ on…

Soft Condensed Matter · Physics 2015-05-19 James G. Puckett , Frederic Lechenault , Karen E. Daniels

The dry frictional contact between two solid surfaces is well-known to obey Coulomb friction laws. In particular, the static friction force resisting the relative lateral (tangential) motion of solid surfaces, initially at rest, is known to…

Statistical Mechanics · Physics 2010-11-16 Jean-Christophe Géminard , Eric Bertin

The macroscopic friction of particulate materials often weakens as the flow rate is increased, leading to potentially disastrous intermittent phenomena including earthquakes and landslides. We theoretically and numerically study this…

Soft Condensed Matter · Physics 2017-11-15 E. DeGiuli , M. Wyart

In a freely cooling granular material fluctuations in density and temperature cause position dependent energy loss. Due to strong local dissipation, pressure and energy drop rapidly and material moves from `hot' to `cold' regions, leading…

Statistical Mechanics · Physics 2007-05-23 Stefan Luding

In simulations of colloidal matter, frictional contacts between particles are often neglected. For spherical colloids, such an approximation can be problematic, since frictional contacts couple translational and rotational degrees of…

Soft Condensed Matter · Physics 2026-05-27 Kay Hofmann , Kay-Robert Dormann , Benno Liebchen , Friederike Schmid

Spin fluctuations have a substantial influence on the electron and lattice behaviors in magnetic materials, which, however, is difficult to be tracked properly by prevalent first-principles methods. We propose a versatile self-adaptive…

Materials Science · Physics 2023-02-14 Zefeng Cai , Ke Wang , Yong Xu , Su-Huai Wei , Ben Xu

We study the origin of the scaling behavior in frictionless granular media above the jamming transition by analyzing their linear response. The response to local forcing is non-self-averaging and fluctuates over a length scale that diverges…

Soft Condensed Matter · Physics 2007-05-23 Wouter G. Ellenbroek , Ellak Somfai , Martin van Hecke , Wim van Saarloos

A geometrically nonlinear continuum mechanical theory is formulated for deformation and failure behaviors of amorphous polymers. The model seeks to capture material response over a range of loading rates, temperatures, and stress states…

Materials Science · Physics 2026-02-10 John D. Clayton

We use the Discrete Element Method (DEM) to understand the underlying attenuation mechanism in granular media, with special applicability to the measurements of the so-called effective mass developed earlier. We consider that the particles…

Geophysics · Physics 2016-03-29 Yanqing Hu , Hernan A. Makse , John J. Valenza , David L. Johnson

Theory and simulation of Brownian colloids suspended in an implicit solvent, with the hydrodynamics of the fluid accounted for by effective interactions between the colloids, are shown to yield a marked and hitherto unobserved discrepancy…

Soft Condensed Matter · Physics 2020-03-18 Duraivelan Palanisamy , Wouter K. den Otter

The depinning of an elastic line in a random medium is studied via an extremal model. The latter gives access to the instantaneous depinning force for each successive conformation of the line. Based on conditional statistics the universal…

Condensed Matter · Physics 2009-11-10 Damien Vandembroucq , Rune Skoe , Stephane Roux

The Green-Kubo relation for two models of granular gases is discussed. In the Maxwell model in any dimension, the effective temperature obtained from the Green-Kubo relation is shown to be frequency independent, and equal to the average…

Soft Condensed Matter · Physics 2008-05-19 Guy Bunin , Yair Shokef , Dov Levine

The high-pressure compaction of three dimensional granular packings is simulated using a bonded particle model (BPM) to capture linear elastic deformation. In the model, grains are represented by a collection of point particles connected by…

Soft Condensed Matter · Physics 2023-10-19 Joel T. Clemmer , Joseph M. Monti , Jeremy B. Lechman

Traditional laws of friction believe that the friction coefficient of two specific solids takes constant value. However, molecular simulations revealed that the friction coefficient of nanosized asperity depends strongly on contact size and…

Materials Science · Physics 2022-08-01 X. M. Liang , G. F. Wang

We simulate dense assemblies of frictional spherical grains in steady shear flow under controlled normal stress $P$ in the presence of a small amount of an interstitial liquid, which gives rise to capillary menisci, assumed isolated…

Soft Condensed Matter · Physics 2015-08-12 Saeed Khamseh , Jean-Noël Roux , François Chevoir

The response to a localized force provides a sensitive test for different models of stress transmission in granular solids. The elasto-plastic models traditionally used by engineers have been challenged by theoretical and experimental…

Soft Condensed Matter · Physics 2009-11-13 C. Goldenberg , I. Goldhirsch
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