Weak non-self-averaging behavior for diffusion in a trapping environment

Achille Giacometti and Amos Maritan
Phys. Rev. E 49, 227 – Published 1 January 1994
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Abstract

The statistics of equally weighted random paths (ideal polymer) is studied in two- and three-dimensional percolating clusters. This is equivalent to diffusion in the presence of a trapping environment. The number of step walks, N, follows a logarithmic-normal distribution with a variance growing asymptotically faster than the mean, which leads to a weak non-self-averaging behavior. Critical exponents associated with the scaling of the two-point correlation function do not obey standard scaling laws.

  • Received 15 April 1993

DOI:https://doi.org/10.1103/PhysRevE.49.227

©1994 American Physical Society

Authors & Affiliations

Achille Giacometti

  • Department of Physics, Purdue University, West Lafayette, Indiana 47907

Amos Maritan

  • Dipartimento di Fisica, Universita’ di Padova, via Marzolo 8, 35131 Padova, Italy

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Vol. 49, Iss. 1 — January 1994

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