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• W1981327599 abstract "The structure and properties of optimal networks depend on the cost functional being minimized and on constraints to which the minimization is subject. We show here two different formulations that lead to identical results: minimizing the dissipation rate of an electrical network under a global constraint is equivalent to the minimization of a power-law cost function introduced by Banavar et al. [Phys. Rev. Lett. 84, 4745 (2000)10.1103/PhysRevLett.84.4745]. An explicit scaling relation between the currents and the corresponding conductances is derived, proving the potential flow nature of the latter. Varying a unique parameter, the topology of the optimized networks shows a transition from a tree topology to a very redundant structure with loops; the transition corresponds to a discontinuity in the slope of the power dissipation." @default.
• W1981327599 created "2016-06-24" @default.
• W1981327599 creator A5051246099 @default.
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• W1981327599 date "2007-02-21" @default.
• W1981327599 modified "2023-09-25" @default.
• W1981327599 title "Structure, Scaling, and Phase Transition in the Optimal Transport Network" @default.
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• W1981327599 doi "https://doi.org/10.1103/physrevlett.98.088702" @default.
• W1981327599 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/17359138" @default.
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