Introduction to Percolation Theory¶
Stauffer, D., & Aharony, A. (1992). Introduction to Percolation Theory. Taylor & Francis.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Cascade
- This question can be posed and often answered without knowing the substrate, because percolation is a property of the network topology and the thresholds, not of what is flowing.
This sourceTaylor & Francis. Foundational treatment of the percolation threshold as a property of network connectivity/occupation, separating sub-critical (finite clusters) from super-critical (spanning cluster) regimes independently of what flows through the lattice.
- This question can be posed and often answered without knowing the substrate, because percolation is a property of the network topology and the thresholds, not of what is flowing.
- Porosity
- A two-phase bulk. The system interleaves a solid load-bearing matrix with a distributed network of voids; the voids, not the matrix, set the functional behaviour. An internal void fraction. A scalar capacity property lives inside the bulk — distinct from any external surface or boundary buffer — and sets how much can be stored throughout. A connectivity that gates transmissibility. Voids may be connected or isolated, and it is connectivity, not gross void fraction, that sets permeability — typically with a sharp percolation threshold above which the bulk transitions from impermeable to permeable.
This sourceEstablishes the percolation threshold at which connectivity transitions a medium from non-transmitting to transmitting.
- A two-phase bulk. The system interleaves a solid load-bearing matrix with a distributed network of voids; the voids, not the matrix, set the functional behaviour. An internal void fraction. A scalar capacity property lives inside the bulk — distinct from any external surface or boundary buffer — and sets how much can be stored throughout. A connectivity that gates transmissibility. Voids may be connected or isolated, and it is connectivity, not gross void fraction, that sets permeability — typically with a sharp percolation threshold above which the bulk transitions from impermeable to permeable.
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