Mott variable-range hopping is a fundamental mechanism for low-temperature electron conduction in disordered solids in the regime of Anderson localization. In a mean field approximation, it reduces to a random walk (shortly, Mott random walk) on a random marked point process with possible long-range jumps.
THz time-domain spectroscopy (THz–TDS) is a suitable approach to study the state of preservation of cultural heritage made of organic materials in a non-destructive way. This technique highlights, in particular, the low–energy vibrational properties of these materials and the presence of the H-bonds between molecules [1]. We focus in particular on the study of modern artificially aged and ancient paper samples in order to determine in the THz spectra the distinctive features as a possible fingerprint of their state of aging and/or degradation.
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