A dynamical flux expansion for the three-dimensional bond percolation problem

P. E. Parris, Philip Phillips, Kalyan Kundu

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)144-152
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1
StatePublished - Jul 1988
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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