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