A k-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 3t of the experimental data to be obtained for a wide range
of the cut length.