%0 Journal Article %1 WOS:000272182000031 %A Jr., J S Andrade %A Oliveira, E A %A Moreira, A A %A Herrmann, H J %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2009 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW LETTERS %K imported %N 22 %R 10.1103/PhysRevLett.103.225503 %T Fracturing the Optimal Paths %V 103 %X Optimal paths play a fundamental role in numerous physical applications ranging from random polymers to brittle fracture, from the flow through porous media to information propagation. Here for the first time we explore the path that is activated once this optimal path fails and what happens when this new path also fails and so on, until the system is completely disconnected. In fact many applications can also be found for this novel fracture problem. In the limit of strong disorder, our results show that all the cracks are located on a single self-similar connected line of fractal dimension D(b)approximate to 1.22. For weak disorder, the number of cracks spreads all over the entire network before global connectivity is lost. Strikingly, the disconnecting path (backbone) is, however, completely independent on the disorder.

@article{WOS:000272182000031, abstract = {Optimal paths play a fundamental role in numerous physical applications ranging from random polymers to brittle fracture, from the flow through porous media to information propagation. Here for the first time we explore the path that is activated once this optimal path fails and what happens when this new path also fails and so on, until the system is completely disconnected. In fact many applications can also be found for this novel fracture problem. In the limit of strong disorder, our results show that all the cracks are located on a single self-similar connected line of fractal dimension D(b)approximate to 1.22. For weak disorder, the number of cracks spreads all over the entire network before global connectivity is lost. Strikingly, the disconnecting path (backbone) is, however, completely independent on the disorder.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Jr., J S Andrade and Oliveira, E A and Moreira, A A and Herrmann, H J}, biburl = {https://www.bibsonomy.org/bibtex/2d7dc2c548616ea51e2f16efd93680b0e/ppgfis_ufc_br}, doi = {10.1103/PhysRevLett.103.225503}, interhash = {95904c802b5f6bdbe2b44b63cb83803e}, intrahash = {d7dc2c548616ea51e2f16efd93680b0e}, issn = {0031-9007}, journal = {PHYSICAL REVIEW LETTERS}, keywords = {imported}, number = 22, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Fracturing the Optimal Paths}, tppubtype = {article}, volume = 103, year = 2009 }