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.
A k-Entropic approach to the analysis of the fracture problem
AM SCARFONE bc
2004
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.