Title

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

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 pc = 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.

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.


Share

 
COinS