Shape-Anisotropy-Induced Ordered Packings in Cylindrical Confinement

Theory of cylindrical dense packings of disks.

We have previously explored cylindrical packings of disks and their relation to sphere packings. Here we extend the analytical treatment of disk packings, analyzing the rules for phyllotactic indices of related structures and the variation of the density for line-slip structures, close to the symmetric ones. We show that rhombic structures, which are of a lower density, are always unstable, i.e...

Packing and Assembling Spheres in Cylindrical Confinement

Spatial detection of ferromagnetic wires using GMR sensor and based on shape induced anisotropy

The purpose of this paper is to introduce a new technique for row spacing measurement in a wire array using giant magnetoresistive (GMR) sensor. The self-rectifying property of the GMR-based probes leads to accurately detection of the magnetic field fluctuations caused by surface-breaking cracks in conductive materials, shape-induced magnetic anisotropy, etc. The ability to manufacture probes h...

Asymptotic Shape of Nite Packings

Acknowledgement: We would like to thank Martin Henk, Endre Makai and JJ org Wills for helpful discussions Abstract Let K be a convex body in E d and denote by C n the set of centroids of n non-overlapping translates of K. For % > 0, assume that the parallel body convC n +%K of convC n has minimal volume. The notion of parametric density (see 21]) provides a bridge between nite and innnite packi...

Transient and asymptotic dispersion in confined sphere packings with cylindrical and non-cylindrical conduit geometries.

We study the time and length scales of hydrodynamic dispersion in confined monodisperse sphere packings as a function of the conduit geometry. By a modified Jodrey-Tory algorithm, we generated packings at a bed porosity (interstitial void fraction) of ε=0.40 in conduits with circular, rectangular, or semicircular cross section of area 100πd(p)(2) (where d(p) is the sphere diameter) and dimensio...