Local entropy characterization of correlated random microstructures

Physica A: Statistical Mechanics and its Applications

Volumn 235, Issue 3-4, 1997, Pages 307-318

  Andraud, C ^a   Beghdadi, A ^b   Haslund, E ^c   Hilfer, R ^c,d,e   Lafait, J ^a   Virgin, B ^c  

^a SORBONNE UNIVERSITÉ   (France)

^b UNIVERSITÉ PARIS 13   (France)

^c UNIVERSITY OF OSLO   (Norway)

^d JOHANNES GUTENBERG UNIVERSITY   (Germany)

^e UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CHARACTERIZATION; COMPOSITE MATERIALS; ENTROPY; MORPHOLOGY; POROSITY; POROUS MATERIALS;

HETEROGENEOUS SYSTEMS; RANDOM MICROSTRUCTURES;

MICROSTRUCTURE;

EID: 0031078504     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(96)00354-8     Document Type: Article

References (17)

1. C. Andraud, Analyse entropique de la morphologie de materiaux heterogenes: application a la modelisation des proprietes electromagnetiques, Ph.D. Thesis, Universite Pierre et Marie Curie (1996).
2. C. Andraud, A. Beghdadi and J. Lafait, Entropic analysis of random morphologies, Physica A 207 (1994) 208.
3. Y. Bachmat and J. Bear, Macroscopic modelling of transport phenomena in porous media 1: The continuum approach, Transport in Porous Media 1 (1986) 213.
4. A. Beghdadi, C. Andraud, J. Lafait, J. Peiro and M. Perreau, Entropic and multifractal analysis of disordered morphologies, Fractals 3 (1993) 671.
5. F. Boger, J. Feder, R. Hilfer and T. Jøssang, Microstructural sensitivity of local porosity distributions, Physica A 187 (1992) 55.
6. B. Hansen, E. Haslund, R. Hilfer and B. Nøst, Dielectric dispersion measurements of salt water saturated porous glass compared with local porosity theory, Mater. Res. Soc. Proc. 290 (1993) 185.
7. E. Haslund, B. Hansen, R. Hilfer and B. Nøst, Measurement of local porosities and dielectric dispersion for a water saturated porous medium, J. Appl. Phys. 76 (1994) 5473.
8. R. Hilfer, Geometric and dielectric characterization of porous media, Phys. Rev. B 44 (1991) 60.
9. R. Hilfer, Geometry, dielectric response and scaling in porous media, Phys. Scripta T44 (1992) 51.
10. R. Hilfer, Local porosity theory for flow in porous media, Phys. Rev. B 45 (1992) 7115.
11. R. Hilfer, Local porosity theory for electrical and hydrodynamical transport through porous media, Physica A 194 (1993) 406.
12. R. Hilfer, Transport and relaxation phenomena in porous media, Adv. Chem. Phys, XCII (1996) 299.
13. R. Hilfer, B. Nøst, E. Haslund, Th. Kautzsch, B. Virgin and B.D. Hansen, Local porosity theory for the frequency dependent dielectric function of porous rocks and polymer blends, Physica A 207 (1994) 19.
14. B. Lu and S. Torquato, Local volume fraction fluctuations in heterogeneous media, J. Chem. Phys. 93 (1990) 3452.
15. E. O'Neill, Introduction to Statistical Optics (Addison-Wesley, Reading, MA, 1963).
16. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, 1992).
17. B. Virgin, E. Haslund and R. Hilfer, Rescaling relations between two- and three-dimensional local porosity distributions for natural and artificial porous media, Physica A 232 (1996) 1.