Introduction to Percolation Theory, 2^nd ed

Stauffer, D., & Aharony, A. (1994). Introduction to Percolation Theory, 2nd ed. Taylor & Francis.

Type

Book

Intellectual base

Textbook

Year

1994

Link

https://www.routledge.com/Introduction-To-Percolation-Theory-Second-Edition/Stauffer-Aharony/p/book/9780748402533

Cited from

chemistry_materials, pharmacology_toxicology, physics

Cited by

5 citations across 5 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Percolation
  • Materials science. Gel formation and the sol-gel transition, conductivity of disordered conductor-insulator mixtures, porosity and fluid flow through porous media, polymer gelation.
• Percolation Threshold
  • The critical density \(p_c\) at first spanning is sharp and topology-dependent: for bonds on the square lattice \(p_c = 1/2\) exactly, and at this value a spanning cluster first appears that connects opposite edges.
• Threshold

  • This sourceTaylor & Francis. — Mathematical characterization of percolation threshold in physics.

• Threshold-Driven Order Emergence
  • Percolation theory provides another canonical formal example.

Mechanisms

• Staged Link-Density Trial
  • Its failure mode is false precision at a sharp threshold: near a percolation point, small-sample and finite-size effects make the estimate jumpy, so a tidy single number oversells how well the threshold is actually known.

    This sourceShows that finite system size can shift the apparent percolation threshold away from its infinite-system value.

Verification

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