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Network formation by contact arrested propagation

Author

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  • Hafver, Andreas
  • Jettestuen, Espen
  • Baetens, Jan M.
  • Malthe-Sørenssen, Anders

Abstract

We propose here a network growth model which we term Contact Arrested Propagation (CAP). One representation of the CAP model comprises a set of two-dimensional line segments on a lattice, propagating independently at constant speed in both directions until they collide. The generic form of the model extends to arbitrary networks, and, in particular, to three-dimensional lattices, where it may be realised as a set of expanding planes, halted upon intersection. The model is implemented as a simple and completely background independent substitution system.

Suggested Citation

  • Hafver, Andreas & Jettestuen, Espen & Baetens, Jan M. & Malthe-Sørenssen, Anders, 2014. "Network formation by contact arrested propagation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 240-255.
    • Handle: RePEc:eee:phsmap:v:413:y:2014:i:c:p:240-255
    DOI: 10.1016/j.physa.2014.07.006
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    References listed on IDEAS

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    1. Aharony, Amnon & Hinrichsen, Einar L. & Hansen, Alex & Feder, Jens & J∅ssang, Torstein & Hardy, H.H., 1991. "Effective renormalization group algorithm for transport in oil reservoirs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 260-266.
    2. Wettstein, Salomon J. & Wittel, Falk K. & Araújo, Nuno A.M. & Lanyon, Bill & Herrmann, Hans J., 2012. "From invasion percolation to flow in rock fracture networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 264-277.
    3. Christian Schoof, 2010. "Ice-sheet acceleration driven by melt supply variability," Nature, Nature, vol. 468(7325), pages 803-806, December.
    4. Rinaldo, Andrea & Banavar, Jayanth R & Colizza, Vittoria & Maritan, Amos, 2004. "On network form and function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(4), pages 749-755.
    5. Ferenc, Járai-Szabó & Néda, Zoltán, 2007. "On the size distribution of Poisson Voronoi cells," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 518-526.
    6. Korsnes, R. & Souza, S.R. & Donangelo, R. & Hansen, A. & Paczuski, M. & Sneppen, K., 2004. "Scaling in fracture and refreezing of sea ice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 291-296.
    7. Jayanth R. Banavar & Amos Maritan & Andrea Rinaldo, 1999. "Size and form in efficient transportation networks," Nature, Nature, vol. 399(6732), pages 130-132, May.
    8. Hernández, Gonzalo & Herrmann, Hans J., 1995. "Discrete models for two- and three-dimensional fragmentation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(4), pages 420-430.
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