Abstract
The width of the crack interface in the fuse model after breakdown, w, scales with the size of the network, L, as w∼. When the disorder is narrow, or when it includes arbitrarily small threshold values, we find that ζ=0.7 to within 10%, indicative of this being a universal value. This is not far from 2/3, suggested by an analogy with the random directed polymer problem. When, on the other hand, the disorder is strong and includes arbitrarily large threshold values, the exponent ζ depends on the disorder. These results suggest that the random polymer problem may be relevant for brittle fracture in real materials.
- Received 8 January 1991
DOI:https://doi.org/10.1103/PhysRevLett.66.2476
©1991 American Physical Society