A Dynamical Flux Expansion for the Three-Dimensional Bond Percolation Problem

Author

Paul Ernest Parris, Missouri University of Science and TechnologyFollow
Philip W. Phillips
Kalyan P. Kundu

Abstract

A new expansion for treating diffusive transport on bond disordered lattices is presented and applied to the bond percolation problem in 3 dimensions. Our approach, when combined with standard resummation techniques, leads to a prediction for the 3-dimensional transport threshold p_c = 0.252, which is in excellent agreement with known results. This agreement is obtained without recourse to renormalization group techniques or self-consistent arguments. It originates from a new t-matrix representation for the frequency-dependent diffusion coefficient and is a direct consequence of the equations of motion for the probability currents.

Recommended Citation

P. E. Parris et al., "A Dynamical Flux Expansion for the Three-Dimensional Bond Percolation Problem," Physica A: Statistical Mechanics and its Applications, vol. 151, no. 1, pp. 144 - 152, Elsevier, Jul 1988.

The definitive version is available at https://doi.org/10.1016/0378-4371(88)90044-1

Department(s)

Physics

International Standard Serial Number (ISSN)

0378-4371

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1988 Elsevier, All rights reserved.

Publication Date

01 Jul 1988