Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-07-26
Physics
Condensed Matter
Statistical Mechanics
4 pages, 4 figures
Scientific paper
We 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.
Haavig Bakke Jan Øystein
Hansen Angela
Ramstad Thomas
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