Fracture Roughness and Correlation Length in the Central Force Model

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dc.creatorBakke, Jan Øystein Haavig
dc.creatorRamstad, Thomas
dc.creatorHansen, Alex
dc.date2005-07-26
dc.date.accessioned2026-07-07T03:06:07Z
dc.date.available2026-07-07T03:06:07Z
dc.descriptionWe measure the roughness exponent and the correlation length exponent of a stress-weighted percolation process in the central force model in 2D. The roughness exponent is found to be zeta = 0.75 \pm 0.03 and the correlation length exponent is found to be nu = 1.7 \pm 0.3. This result supports a conjecture that the fracture roughness for large scales is controlled by a stress weighted percolation process, and the fracture roughness can by calculated from the correlation length exponent by zeta = 2*nu/(1+2*nu). We also compare global and local measurements of the fracture roughness and do not find sign of anomalous scaling in the central force model.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0507611
dc.identifierhttp://arxiv.org/abs/cond-mat/0507611
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26695
dc.subjectStatistical Mechanics
dc.subjectMaterials Science
dc.titleFracture Roughness and Correlation Length in the Central Force Model
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