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Entropic analysis of random morphologies

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  • Andraud, C.
  • Beghdadi, A.
  • Lafait, J.

Abstract

When the random morphology of ramified or percolating clusters exhibit local fluctuations, the framework of the theory of random percolation with its critical exponents and fractal dimension is still not enough to describe the disorder and the optical properties. We propose an alternative concept: the configuration entropy, that we compare to the multifractal analysis on computer simulated morphologies. At the percolation threshold, the entropy undergoes a maximum and its optimum length a minimum. In contrast with the multifractal analysis, the configuration entropy gives unambiguous results, relatively independent of the finite size of the image.

Suggested Citation

  • Andraud, C. & Beghdadi, A. & Lafait, J., 1994. "Entropic analysis of random morphologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(1), pages 208-212.
    • Handle: RePEc:eee:phsmap:v:207:y:1994:i:1:p:208-212
    DOI: 10.1016/0378-4371(94)90374-3
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    References listed on IDEAS

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    1. Robin, Thierry & Souillard, Bernard, 1993. "A microscopic theory of the reflection properties of metal-insulator composite films," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 193(1), pages 79-104.
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    Cited by:

    1. Biswal, B. & Manwart, C. & Hilfer, R., 1998. "Three-dimensional local porosity analysis of porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 255(3), pages 221-241.
    2. López, Pilar & Tarquis, Ana M. & Matulka, Ania & Skadden, Benjamin & Redondo, José M., 2017. "Multiscaling properties on sequences of turbulent plumes images," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 128-136.
    3. Ali, Naseem & Cal, Raúl Bayoán, 2019. "Scale evolution, intermittency and fluctuation relations in the near-wake of a wind turbine array," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 215-229.
    4. Piasecki, R., 2000. "Entropic measure of spatial disorder for systems of finite-sized objects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(1), pages 157-173.
    5. Andraud, C. & Beghdadi, A. & Haslund, E. & Hilfer, R. & Lafait, J. & Virgin, B., 1997. "Local entropy characterization of correlated random microstructures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(3), pages 307-318.

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