A κ-entropic approach to the analysis of the fracture problem

In order to study the relation between the ohmic resistance measured in a thin conducting ribbon and the length of a transversal cut, we employ a one-parameter deformed exponential and logarithm that were recently introduced (Phys. Rev. E 66 (2002) 056125) in the framework of a generalized statistical mechanics. The analytical results have been compared with the data that was experimentally obtained and numerically computed with the boundary element method. Remarkably, the new deformed functions that interpolate between the standard functions and the power law functions, allow the best fit of the experimental data to be obtained for a wide range of the cut length.