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Structure of noise generated on diffusion fronts

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  • Gouyet, J.F.
  • Sapoval, B.
  • Boughaleb, Y.
  • Rosso, M.

Abstract

During a diffusion process the diffusion front fluctuates leading to a “geometrical noise”. We predict a 1/ƒ2 noise at high frequency and a 1/ƒ noise at low frequency separated by a crossover ƒ∗. We give here scaling expressions sustained by numerical calculations for the fluctuations and the distribution of events as a function of time and diffusion length. The close relation of this approach with noise in invasion experiments in presence of a gravity field is also pointed out.

Suggested Citation

  • Gouyet, J.F. & Sapoval, B. & Boughaleb, Y. & Rosso, M., 1989. "Structure of noise generated on diffusion fronts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 620-624.
    • Handle: RePEc:eee:phsmap:v:157:y:1989:i:1:p:620-624
    DOI: 10.1016/0378-4371(89)90373-7
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    References listed on IDEAS

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    1. Marina Colonna, 1986. "Book Reviews," Contributions to Political Economy, Oxford University Press, vol. 5(1), pages 127-129.
    2. Bunde, Armin & Gouyet, Jean-François, 1985. "Brownian motion in the bistable potential at intermediate and high friction: Relaxation from the instability point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 357-374.
    3. Thulin, Andrew J. & Schwab, Gerald D. & Hilker, James H., 1987. "The Shape of the Swine Production Industry Today and Tomorrow," Staff Paper Series 200928, Michigan State University, Department of Agricultural, Food, and Resource Economics.
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    Cited by:

    1. Gouyet, J.-F., 1992. "Anti-red bonds distribution law in 3D percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 301-308.
    2. Gouyet, J.F., 1990. "Invasion noise during drainage in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 581-591.

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