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The shape of parallel surfaces: porous media, fluctuating interfaces and complex fluids

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  • Mecke, Klaus R

Abstract

The morphological concept of parallel surfaces in combination with curvature measures known from integral geometry are used to characterise and model complex spatial structures beyond the two-point correlation function and to predict, for instance, percolation thresholds in porous media. Applied to liquid interfaces one finds a reduction of the surface tension at microscopic scales in good agreement with X-ray scattering experiments.

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  • Mecke, Klaus R, 2002. "The shape of parallel surfaces: porous media, fluctuating interfaces and complex fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 655-662.
    • Handle: RePEc:eee:phsmap:v:314:y:2002:i:1:p:655-662
    DOI: 10.1016/S0378-4371(02)01047-6
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