Quasi-static cracks and minimal energy surfaces
نویسنده
چکیده
We compare the roughness of minimal energy(ME) surfaces and scalar “quasi-static” fracture surfaces(SQF). Two dimensional ME and SQF surfaces have the same roughness scaling, w ∼ L (L is system size) with ζ = 2/3. The 3-d ME and SQF results at strong disorder are consistent with the randombond Ising exponent ζ(d ≥ 3) ≈ 0.21(5 − d) (d is bulk dimension). However 3-d SQF surfaces are rougher than ME ones due to a larger prefactor. ME surfaces undergo a “weakly rough” to “algebraically rough” transition in 3-d, suggesting a similar behavior in fracture. 62.20.Mk, 03.40.Dz, 46.30.Nz, 81.40.Np Typeset using REVTEX
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