Permeability Model for Porous Transducer With Glass Spheres Packing

Covering and Packing with Spheres

We address the problem of covering R with congruent balls, while minimizing the number of balls that contain an average point. Considering the 1-parameter family of lattices defined by stretching or compressing the integer grid in diagonal direction, we give a closed formula for the covering density that depends on the distortion parameter. We observe that our family contains the thinnest latti...

Fractal Derivative Model for Air Permeability in Hierarchic Porous Media

and Applied Analysis 3 where k is a constant, α is the fractal dimension, L0 is the smallest measure, and u t is the distance between two points in the porous media. The distance between two points in a discontinuous space is

Pushing the glass transition towards random close packing using self-propelled hard spheres.

Although the concept of random close packing with an almost universal packing fraction of approximately 0.64 for hard spheres was introduced more than half a century ago, there are still ongoing debates. The main difficulty in searching the densest packing is that states with packing fractions beyond the glass transition at approximately 0.58 are inherently non-equilibrium systems, where the dy...

A mean-field hard-spheres model of glass

We present a model of spheres moving in a high-dimensional compact space. We relate it to a mixed matrix model with a O(N) invariant model plus a P(N) invariant perturbation. We then study the low pressure regime by performing a diagrammatic expansion of this matrix model. Finally, we show the results from numerical simulations and we present evidence for a glassy regime at high pressures. Glas...

Testing Recycled Glass for Monitoring Well Packing