Extrapolation of magnetic relaxation measurements in slow dynamic systems

In this work, we propose some time transformations that can be used to obtain the very long-time relaxation from a set of experimental data in a limited time window when the relaxation follows logarithmic or quasi-logarithmic time dependence. This method allows obtaining an estimation of the time evolution in systems with very slow dynamics not available in an experimental measurement, giving a new insight to the relaxation in slow systems. We have applied the method to a set of relaxations of an YBaCuO superconductor. We found that the first five relaxations overlap perfectly, and we also saw the huge increase of the scale of times (such times are yet predicted in the early works in 1962). A slight deviation from the pure logarithmic relaxation has been found.