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Multifractal spectra of mean first-passage time distributions in disordered chains

Pedro A. Pury, Manuel O. Caceres

cond-mat.stat-mecharXiv:cond-mat/0305178

Abstract

The multifractal characterization of the distribution over disorder of the mean first-passage time in a finite chain is revisited. Both, absorbing-absorbing and reflecting-absorbing boundaries are considered. Two models of dichotomic disorder are compared and our analysis clarifies the origin of the multifractality. The phenomenon is only present when the diffusion is anomalous.

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