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Characterizing Strong Disorder by the Divergence of a Diffusion Time

Hernández-García, E.; Cáceres, M. O.; San Miguel, M.
Phys. Rev. A, Rapid Communications 41, 4562-4565 (1990)

We propose to characterize strong disorder and the degree of disorder (in anomalous diffusion problems) by the divergence and the divergence law, respectively, of the mean first passage time to leave an arbitrary interval of finite size. Exact results for the exponents and amplitudes characterizing the divergence are given for certain models.