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Phys. Rev. E 67, 061106 (2003) [7 pages]

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

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Pedro A. Pury*
Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina

Manuel O. Cáceres
Centro Atómico Bariloche, Instituto Balseiro, and Consejo Nacional de Investigaciones Científicas y Técnicas, 8400 San Carlos de Bariloche, Río Negro, Argentina

Received 24 February 2003; published 12 June 2003

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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.67.061106
DOI:
10.1103/PhysRevE.67.061106
PACS:
05.40.Fb, 05.60.Cd, 89.75.Da, 02.50.Ng

*Electronic address: pury@famaf.unc.edu.ar

Electronic address: caceres@cab.cnea.gov.ar