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

  title={Geometrical percolation threshold of congruent cuboidlike particles in overlapping particle systems.},
  author={Jianjun Lin and Huisu Chen and Wenxiang Xu},
  journal={Physical review. E},
  volume={98 1-1},
With the advances in artificial particle synthesis, it is possible to create particles with unique shapes. Particle shape becomes a feasible parameter for tuning the percolation behavior. How to accurately predict the percolation threshold by particle characteristics for arbitrary particles has aroused great interest. Towards this end, a versatile family of cuboidlike particles and a numerical contact detection algorithm for these particles are presented here. Then, combining with percolation… 

Structural universality in disordered packings with size and shape polydispersity.

These findings show that a polydisperse packing can be estimated as the combination of various building blocks, i.e., bin components, with a universal relation vf(A), which is further validated by a mean-field approximation.



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.

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.

Analytical approximation of the percolation threshold for overlapping ellipsoids of revolution

  • Y. YiA. M. Sastry
  • Physics
    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2004
Analytic approximations for percolation points in two–dimensional and three–dimensional particulate arrays have been reported for only a very few, simple particle geometries. Here, an analytical

Geometrical percolation threshold of overlapping ellipsoids.

  • GarbocziSnyderDouglasThorpe
  • Mathematics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1995
An idealized material built up from freely overlapping objects randomly placed in a matrix is considered, and the geometrical percolation threshold of suspensions and composites containing complex-shaped constituents is numerically computed.

Interplay of particle shape and suspension properties: a study of cube-like particles.

A set of dilute suspension properties for a family of cube-like particles that smoothly interpolate between spheres and cubes is calculated and it is found that all of the properties investigated become more sensitive to particle shape.

Parking simulation of three-dimensional multi-sized star-shaped particles

The shape and size of particles may have a great impact on the microstructure as well as the physico-properties of particulate composites. However, it is challenging to configure a parking system of