Damaging and Cracks in Thin Mud Layers
| dc.creator | Cafiero, Raffaele | |
| dc.creator | Caldarelli, Guido | |
| dc.creator | Gabrielli, Andrea | |
| dc.date | 2000-04-17 | |
| dc.date.accessioned | 2026-07-07T02:37:24Z | |
| dc.date.available | 2026-07-07T02:37:24Z | |
| dc.description | We present a detailed study of a two-dimensional minimal lattice model for the description of mud cracking in the limit of extremely thin layers. In this model each bond of the lattice is assigned to a (quenched) breaking threshold. Fractures proceed through the selection of the part of the material with the smallest breaking threshold. A local damaging rule is also implemented, by using two different types of weakening of the neighboring sites, corresponding to different physical situations. Some analytical results are derived through a probabilistic approach known as Run Time Statistics. In particular, we find that the total time to break down the sample grows with the dimension $L$ of the lattice as $L^2$ even though the percolating cluster has a non trivial fractal dimension. Furthermore, a formula for the mean weakening in time of the whole sample is obtained. | |
| dc.description | 10 pages, 7 figures (9 postscript files), RevTeX | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0004281 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0004281 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/16273 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Damaging and Cracks in Thin Mud Layers | |
| dc.type | text |