Efficient measurement of the percolation threshold for random systems of congruent overlapping ovoids

  title={Efficient measurement of the percolation threshold for random systems of congruent overlapping ovoids},
  author={Mingqi Li and Huisu Chen and Jianjun Lin},
  journal={Powder Technology},
10 Citations

A Universal Method for Modeling and Characterizing Non-Circular Packing Systems Based on n-Point Correlation Functions

A universal method for modeling and characterizing non-circular particles is developed. The n-point correlation functions (n = 1, 2 and 3) are efficiently computed with a GPU parallel computing



Geometrical percolation threshold of congruent cuboidlike particles in overlapping particle systems.

A versatile family of cuboidlike particles and a numerical contact detection algorithm for these particles are presented, and an analytical formula is proposed to quantify the dependence of ϕ_{c} on the parameters m and a/b, and its reliability is verified.

Continuum percolation of congruent overlapping spherocylinders.

It is found ϕ_{c} is a universal monotonic decreasing function of α and is independent of the effective particle size and has implications in percolation theory for nonspherical particles and composite material design.

Continuum percolation of polydisperse rods in quadrupole fields: Theory and simulations.

The theory and simulation demonstrate that the percolation threshold of a polydisperse mixture can be lower than that of the individual components, confirming recent work based on a mapping onto a Bethe lattice as well as earlier computer simulations involving dipole fields.

Percolative properties of hard oblate ellipsoids of revolution with a soft shell.

An in-depth analysis of the geometrical percolation behavior in the continuum of random assemblies of hard oblate ellipsoids of revolution confirms the widely reported trend of a consistent lowering of the hard particle critical volume fraction with increase of the aspect ratio.

Effect of dimensionality on the continuum percolation of overlapping hyperspheres and hypercubes. II. Simulation results and analyses.

The present investigation provides additional analytical results for certain cluster statistics, such as the concentration of k-mers and related quantities, and obtains an upper bound on the percolation threshold η(c), and provides accurate analytical estimates of the pair connectedness function and blocking function for any d as a function of density.