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Multifractal cascades with interactions

Author

Listed:
  • Siebesma, A.P.
  • Tremblay, R.R.
  • Erzan, A.
  • Pietronero, L.

Abstract

We consider a nonlinear version of the random β-model where the fragmentation probability of an eddy depends directly on the activity of the neighbouring regimes. We present an exact calculation for the complete multifractal spectrum. Inspired by concepts recently introduced in the theory of fractal growth, we point out how this generalization might be important for developing a first principle theory based on the Navier-Strokes equations.

Suggested Citation

  • Siebesma, A.P. & Tremblay, R.R. & Erzan, A. & Pietronero, L., 1989. "Multifractal cascades with interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 156(2), pages 613-627.
    • Handle: RePEc:eee:phsmap:v:156:y:1989:i:2:p:613-627
    DOI: 10.1016/0378-4371(89)90084-8
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    Cited by:

    1. Vespignani, A. & Pietronero, L., 1991. "Fixed scale transformation applied to diffusion limited aggregation and dielectric breakdown model in three dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 173(1), pages 1-21.
    2. Labini, F.Sylos & Gabrielli, A. & Montuori, M. & Pietronero, L., 1996. "Finite size effects on the galaxy number counts: Evidence for fractal behavior up to the deepest scale," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 226(3), pages 195-242.

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