Wrapping and unwrapping multifractal fields: Application to fatigue and abrupt failure fracture surfaces

We develop a spectral procedure to generate multifractal random fields in any dimensions d, parameterized by their roughness exponent H, intermittency exponent λ, and multifractal range ξ. We retrieve all the salient features of the log-normal multifractal random walk introduced by E. Bacry et al. [...

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Bibliographic Details
Main Authors: Samy Lakhal, Laurent Ponson, Michael Benzaquen, Jean-Philippe Bouchaud
Format: Article
Language:English
Published: American Physical Society 2025-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.L012003
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