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Phys. Rev. Lett. 48, 627–630 (1982)

Classical Diffusion on a Random Chain

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B. Derrida and Y. Pomeau
Service de Physique Théorique, Centre d'Etudes Nucléaires de Saclay, F-91191 Gif-sur-Yvette, France

Received 23 October 1981; published in the issue dated 1 March 1982

A simple model of classical diffusion on a random chain is studied. The velocities to the right and to the left are calculated. When one changes continuously the probability distribution ρ of the hopping rates, a whole region is found where these two velocities vanish. In this region, the distance R covered by a particle during the time t behaves like Rtx, where x depends continuously on ρ. The exponent x is calculated for a simple example.

© 1982 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.48.627
DOI:
10.1103/PhysRevLett.48.627
PACS:
66.30.Dn, 05.40.+j, 05.60.+w, 72.80.Ng