Fracture Roughness and Correlation Length in the Central Force Model
Statistical Mechanics
2007-05-23 v1 Materials Science
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0507611,
title = {Fracture Roughness and Correlation Length in the Central Force Model},
author = {Jan Øystein Haavig Bakke and Thomas Ramstad and Alex Hansen},
journal= {arXiv preprint arXiv:cond-mat/0507611},
year = {2007}
}
Comments
4 pages, 4 figures