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Title: Flux-conserving directed percolation
Abstract We discuss a model for directed percolation in which the flux of material along each bond is a dynamical variable. The model includes a physically significant limiting case where the total flux of material is conserved. We show that the distribution of fluxes is asymptotic to a power law at small fluxes. We give an implicit equation for the exponent, in terms of probabilities characterising site occupations. In one dimension the site occupations are exactly independent, and the model is exactly solvable. In two dimensions, the independent-occupation assumption gives a good approximation. We explore the relationship between this model and traditional models for directed percolation.  more » « less
Award ID(s):
2011876
PAR ID:
10489696
Author(s) / Creator(s):
; ; ; ; ;
Publisher / Repository:
IOP Publishing
Date Published:
Journal Name:
Journal of Physics A: Mathematical and Theoretical
Volume:
57
Issue:
7
ISSN:
1751-8113
Format(s):
Medium: X Size: Article No. 075001
Size(s):
Article No. 075001
Sponsoring Org:
National Science Foundation
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