Measurement of continuum percolation properties of two-dimensional particulate systems comprising congruent and binary superellipses

  title={Measurement of continuum percolation properties of two-dimensional particulate systems comprising congruent and binary superellipses},
  author={Jianjun Lin and Huisu Chen},
  journal={Powder Technology},

Invariant percolation properties in random isotropic systems of conductive discorectangles on a plane: From disks to sticks

Recently, some eccentricity-invariant properties of random, isotropic, two-dimensional (2D) systems of conductive ellipses have been reported [Phys. Rev. B 104, 184205 (2021) ]. Moreover, the authors

Elliptic percolation model for predicting the electrical conductivity of graphene-polymer composites.

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Continuum percolation-based tortuosity and thermal conductivity of soft superball systems: shape dependence from octahedra via spheres to cubes.

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Continuum percolation of congruent overlapping spherocylinders.

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Monte Carlo simulations and spanning probability are used to extend prior models into regions of higher polydispersity than those previously considered and a correlation to predict the percolation threshold for binary disk systems is proposed.

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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.