Role of friction in compaction and segregation of granular materials

Srebro, Y.; Levine, Dov

doi:10.1103/physreve.68.061301

Cited by 55 publications

(37 citation statements)

References 30 publications

(52 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the rough spheres a fit to (4) RLP and 0 RLP with increasing friction agrees with another experiment [24], model [25], and simulations [11][12][13]26].…”

Section: Prl 101 018301 (2008) P H Y S I C a L R E V I E W L E T T Esupporting

confidence: 67%

Onset of Mechanical Stability in Random Packings of Frictional Spheres

et al. 2008

View full text Add to dashboard Cite

Using sedimentation to obtain precisely controlled packings of noncohesive spheres, we find that the volume fraction RLP of the loosest mechanically stable packing is in an operational sense well defined by a limit process. This random loose packing volume fraction decreases with decreasing pressure p and increasing interparticle friction coefficient . Using x-ray tomography to correct for a container boundary effect that depends on particle size, we find for rough particles in the limit p ! 0 a new lower bound, RLP 0:550 0:001.

show abstract

“…For the rough spheres a fit to (4) RLP and 0 RLP with increasing friction agrees with another experiment [24], model [25], and simulations [11][12][13]26].…”

Section: Prl 101 018301 (2008) P H Y S I C a L R E V I E W L E T T Esupporting

confidence: 67%

Onset of Mechanical Stability in Random Packings of Frictional Spheres

et al. 2008

View full text Add to dashboard Cite

show abstract

“…, which is achieved for the face centered cubic or the hexagonal close packing [34]. The determination of the maximal volume v max is more interesting, and requires more input from the physics of the problem.…”

Section: Static Mean-field Approximationmentioning

confidence: 99%

“…As a result, one expects the maximal volume v max to be an increasing function of the static friction coefficient µ s . Approximate expressions of v max as a function of µ s can be derived, assuming very simple geometries [34]. Considering now that v max is known, one can determine from Eq.…”

Section: Static Mean-field Approximationmentioning

confidence: 99%

“…Since there is no simple way to determine the density of states without a more detailed modeling of the packing, we further simplify the problem by assuming, following [34], that the density of states is uniform over the interval v min < v < v max . In practice, we thus use Eq.…”

Section: Static Mean-field Approximationmentioning

confidence: 99%

“…To determine the volume V (C) of configuration C, it is then convenient to assign a volume to each grain using a Voronoi tesselation (see Fig. 1) [34,35]:…”

Section: Static Mean-field Approximationmentioning

confidence: 99%

See 2 more Smart Citations

Theoretical approaches to the steady-state statistical physics of interacting dissipative units

Bertin¹

2017

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

Abstract. The aim of this review is to provide a concise overview of some of the generic approaches that have been developed to deal with the statistical description of large systems of interacting dissipative 'units'. The latter notion includes, e.g., inelastic grains, active or self-propelled particles, bubbles in a foam, low-dimensional dynamical systems like driven oscillators, or even spatially extended modes like Fourier modes of the velocity field in a fluid for instance. We first review methods based on the statistical properties of a single unit, starting with elementary mean-field approximations, either static or dynamic, that describe a unit embedded in a 'selfconsistent' environment. We then discuss how this basic mean-field approach can be extended to account for spatial dependences, in the form of space-dependent mean-field Fokker-Planck equations for example. We also briefly review the use of kinetic theory in the framework of the Boltzmann equation, which is an appropriate description for dilute systems. We then turn to descriptions in terms of the full N -body distribution, starting from exact solutions of one-dimensional models, using a Matrix Product Ansatz method when correlations are present. Since exactly solvable models are scarce, we also present some approximation methods that can be used to determine the N -body distribution in a large system of dissipative units. These methods include the Edwards approach for dense granular matter and the approximate treatment of multiparticle Langevin equations with coloured noise, which models systems of self-propelled particles. Throughout this review, emphasis is put on methodological aspects of the statistical modeling and on formal similarities between different physical problems, rather than on the specific behaviour of a given system.

show abstract

The role of friction in mixing and segregation of granular material

Džiugys

Navakas

2009

Granular Matter

View full text Add to dashboard Cite

Role of friction in compaction and segregation of granular materials

Cited by 55 publications

References 30 publications

Onset of Mechanical Stability in Random Packings of Frictional Spheres

Onset of Mechanical Stability in Random Packings of Frictional Spheres

Theoretical approaches to the steady-state statistical physics of interacting dissipative units

The role of friction in mixing and segregation of granular material

Contact Info

Product

Resources

About