Work

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

Year: 1994

Type: article

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.

Source: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

DOI: 10.1103/physreve.49.227

Authors: Achille Giacometti, Amos Maritan

Institution: Purdue University West Lafayette

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3021025510

FWCI: 1.69

Cites: 23

Cited by: 15

Related to: 10