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Local entropy characterization of correlated random microstructures

Author

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  • Andraud, C.
  • Beghdadi, A.
  • Haslund, E.
  • Hilfer, R.
  • Lafait, J.
  • Virgin, B.

Abstract

A rigorous connection is established between the local porosity entropy introduced by Boger et al. (Physica A 187 (1992) 55) and the configurational entropy of Andraud et al. (Physica A 207 (1994) 208). These entropies were introduced as morphological descriptors derived from local volume fluctuations in arbitrary correlated microstructures occurring in porous media, composites or other heterogeneous systems. It is found that the entropy lengths at which the entropies assume an extremum become identical for high enough resolution of the underlying configurations. Several examples of porous and heterogeneous media are given which demonstrate the usefulness and importance of this morphological local entropy concept.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:235:y:1997:i:3:p:307-318
    DOI: 10.1016/S0378-4371(96)00354-8
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    References listed on IDEAS

    as
    1. Hilfer, R., 1993. "Local porosity theory for electrical and hydrodynamical transport through porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 406-414.
    2. Boger, F. & Feder, J. & Jøssang, T. & Hilfer, R., 1992. "Microstructural sensitivity of local porosity distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 55-70.
    3. Hilfer, R. & Nøst, B. & Haslund, E. & Kautzsch, Th. & Virgin, B. & Hansen, B.D., 1994. "Local porosity theory for the frequency dependent dielectric function of porous rocks and polymer blends," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(1), pages 19-27.
    4. Virgin, B. & Haslund, E. & Hilfer, R., 1996. "Rescaling relations between two-and three-dimensional local porosity distributions for natural and artificial porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 1-20.
    5. 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.
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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. 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.
    3. Gonzalez, J.L., 2021. "Multifractal statistic of porous structures simulated through fully penetrable sphere models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    4. Biswal, B. & Manwart, C. & Hilfer, R. & Bakke, S. & Øren, P.E., 1999. "Quantitative analysis of experimental and synthetic microstructures for sedimentary rock," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 273(3), pages 452-475.

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