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Variance scaling of Boolean random varieties

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Dominique Jeulin

Résumé

Long …fibers or strati…ed media show very long range correlations. These media can be simulated by models of Boolean random varieties. We study for these models the non standard scaling laws of the variance of the local volume fraction with the volume of domains K: on a large scale, a the variance of the local volume fraction decreases with power laws of the volume of K. The exponent is equal to 2/3 for Boolean fi…bers in 3D, and 1/3 for Boolean strata in 3D. When working in 2D, the scaling exponent of Boolean …fibers is equal to 1/2 . These laws are expected to hold for the prediction of the e¤ective properties of such random media from numerical simulations.
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Dates et versions

hal-00618967 , version 1 (04-09-2011)

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  • HAL Id : hal-00618967 , version 1

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Dominique Jeulin. Variance scaling of Boolean random varieties. 2011. ⟨hal-00618967⟩
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