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Percolation phenomena: a broad-brush introduction with some recent applications to porous media, liquid water, and city growth

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  • Stanley, H.Eugene
  • Andrade, José S.
  • Havlin, Shlomo
  • Makse, Hernán A.
  • Suki, Béla

Abstract

This brief overview is designed to introduce some of the advances that have occurred in our understanding of percolation phenomena. We organize our presentation around three simple questions: (i) What are percolation phenomena? (ii) Why do we care? (iii) What do we actually do? To answer the third question, we will briefly review some recent applications of percolation that have been the subject of research in the Boston University group.

Suggested Citation

  • Stanley, H.Eugene & Andrade, José S. & Havlin, Shlomo & Makse, Hernán A. & Suki, Béla, 1999. "Percolation phenomena: a broad-brush introduction with some recent applications to porous media, liquid water, and city growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 5-16.
    • Handle: RePEc:eee:phsmap:v:266:y:1999:i:1:p:5-16
    DOI: 10.1016/S0378-4371(99)00029-1
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    References listed on IDEAS

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    1. Osamu Mishima & H. Eugene Stanley, 1998. "Decompression-induced melting of ice IV and the liquid–liquid transition in water," Nature, Nature, vol. 392(6672), pages 164-168, March.
    2. Dhar, Deepak, 1986. "Some exact results for polymer models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 210-211.
    3. Naeem Jan & Dietrich Stauffer, 1998. "Random Site Percolation in Three Dimensions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 341-347.
    4. Grassberger, Peter, 1999. "Conductivity exponent and backbone dimension in 2-d percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 262(3), pages 251-263.
    5. Osamu Mishima & H. Eugene Stanley, 1998. "The relationship between liquid, supercooled and glassy water," Nature, Nature, vol. 396(6709), pages 329-335, November.
    6. Shane Macleod & Naeem Jan, 1998. "Large Lattice Simulation of Random Site Percolation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 289-294.
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    Cited by:

    1. Xiao, Di & Wang, Jun, 2012. "Modeling stock price dynamics by continuum percolation system and relevant complex systems analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4827-4838.
    2. Vašata, Daniel & Exner, Pavel & Šeba, Petr, 2011. "Built-up structure criticality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3922-3931.
    3. Stanley, H.Eugene & Andrade, José S, 2001. "Physics of the cigarette filter: fluid flow through structures with randomly-placed obstacles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 17-30.
    4. Stalgorova, Ekaterina & Babadagli, Tayfun, 2014. "Scaling of production data obtained from Random Walk Particle Tracking simulations in highly fractured porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 181-192.
    5. Haibo Tang & Yangsheng Zhao & Zhiqin Kang & Zhaoxing Lv & Dong Yang & Kun Wang, 2022. "Investigation on the Fracture-Pore Evolution and Percolation Characteristics of Oil Shale under Different Temperatures," Energies, MDPI, vol. 15(10), pages 1-14, May.

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