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Anomalous diffusion on crumpled wires in two dimensions

Author

Listed:
  • Donato, C.C.
  • Oliveira, F.A.
  • Gomes, M.A.F.

Abstract

The statistical properties of random walks evolving on real configurations of a crumpled wire rigidly jammed in two dimensions is investigated. These crumpled hierarchical structures with complex topology are obtained from a metallic wire injected at a constant rate into a transparent planar cell of 20cm of diameter. The observed diffusion is anomalous with an exponent very close to that obtained at the threshold of two dimensional percolation. A comparison of the system studied in this paper with other systems of physical interest is also made, and an experimental consequence of our results is discussed.

Suggested Citation

  • Donato, C.C. & Oliveira, F.A. & Gomes, M.A.F., 2006. "Anomalous diffusion on crumpled wires in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 1-6.
    • Handle: RePEc:eee:phsmap:v:368:y:2006:i:1:p:1-6
    DOI: 10.1016/j.physa.2006.01.065
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    References listed on IDEAS

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    1. Wood, A.J., 2002. "Witten's lectures on crumpling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 313(1), pages 83-109.
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    Cited by:

    1. Balankin, Alexander S. & Matamoros, Daniel Morales & Pineda León, Ernesto & Rangel, Antonio Horta & Martínez Cruz, Miguel Ángel & Samayoa Ochoa, Didier, 2009. "Topological crossovers in the forced folding of self-avoiding matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(9), pages 1780-1790.

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    1. Balankin, Alexander S. & Matamoros, Daniel Morales & Pineda León, Ernesto & Rangel, Antonio Horta & Martínez Cruz, Miguel Ángel & Samayoa Ochoa, Didier, 2009. "Topological crossovers in the forced folding of self-avoiding matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(9), pages 1780-1790.

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