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Optimizing transport in a homogeneous network | Marc Durand
; Denis Weaire
; | Date: |
6 Apr 2005 | Journal: | Physical Review E 70 (2004) 046125 DOI: 10.1103/PhysRevE.70.046125 | Subject: | Adaptation and Self-Organizing Systems; Statistical Mechanics; Disordered Systems and Neural Networks; Soft Condensed Matter | nlin.AO cond-mat.dis-nn cond-mat.soft cond-mat.stat-mech | Affiliation: | DEAS), Denis Weaire (FOAM Physics | Abstract: | Many situations in physics, biology, and engineering consist of the transport of some physical quantity through a network of narrow channels. The ability of a network to transport such a quantity in every direction can be described by the average conductivity associated with. When the flow through each channel is conserved and derives from a potential function, we show that there exist an upper bound of the average conductivity, and explicitly give the expression for this upper bound as a function of the channel permeability and channel length distributions. Moreover, we express the necessary and sufficient conditions on the network structure to maximize the average conductivity. These conditions are found to be independent of the connectivity of the vertices. | Source: | arXiv, nlin.AO/0504017 | Services: | Forum | Review | PDF | Favorites |
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