2008/04/14 by Phani K. V. V. Nukala, Stefano Zapperi, Mikko J. Alava +3 · 1 citation
Physics and Astronomy · #Random lasers and scattering media #Theoretical and Computational Physics #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.78.046105
8 pages, 6 figures
arxiv created 2008/04/14 · openalex publication_date 2008/10/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We study the scaling of two-dimensional crack roughness using large scale beam lattice systems. Our results indicate that the crack roughness obtained using beam lattice systems does not exhibit anomalous scaling in sharp contrast to the simulation results obtained using scalar fuse lattices. The local and global roughness exponents (zetaloc and zeta, respectively) are equal to each other, and the two-dimensional crack roughness exponent is estimated to be zetaloc = zeta = 0.64+/-0.02 . Removal of overhangs (jumps) in the crack profiles eliminates even the minute differences between the local and global roughness exponents. Furthermore, removing these jumps in the crack profile completely eliminates the multiscaling observed in other studies. We find that the probability density distribution p[Deltah(l)] of the height differences Deltah(l)=[h(x+l)-h(x)] of the crack profile obtained after removing the jumps in the profiles follows a Gaussian distribution even for small window sizes (l) .