Roughness Exponent Measurements for the Central Force Model

ORAL

Abstract

We study the roughness properties of fracture profiles from the two-dimensional central force lattice model for a wide range of disorders. The intrinsic and the extrinsic roughness exponent have been measured together with the step size distribution $p(|\Delta h|)$ and the height difference distribution $p(\Delta h,l)$. We find that the profiles are self-affine for systems with narrow disorders and that broader disorders introduces overhangs in the fracture surface leading to deviation from self-affinity for small length scales and to non-trivial finite size scaling.

Authors

  • Jan {\O}. H. Bakke

    Department of Physics, NTNU, Trondheim, Norway

  • Alex Hansen

    Department of Physics, NTNU, Trondheim, Norway