Morphology of two dimensional fracture surface

Details Morphology of two dimensional fracture surface Morphology of two dimensional fracture surface

2006-08-02

arxiv.org/abs/cond-mat/0608052v2

J. Stat. Mech. (2006) L10002

Physics

Condensed Matter

Disordered Systems and Neural Networks

slightly revised

Scientific paper

10.1088/1742-5468/2006/10/L10002

We consider the morphology of two dimensional cracks observed in experimental results obtained from paper samples and compare these results with the numerical simulations of the random fuse model (RFM). We demonstrate that the data obey multiscaling at small scales but cross over to self-affine scaling at larger scales. Next, we show that the roughness exponent of the random fuse model is recovered by a simpler model that produces a connected crack, while a directed crack yields a different result, close to a random walk. We discuss the multiscaling behavior of all these models.

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