Optimal minimum-dissipation networks show weak and strong symmetry breaking with discontinuous transitions from resource scaling and reentrant symmetry restoration from fluctuations.
Durand, Structure of optimal transport networks sub- ject to a global constraint, Physical Review Letters98, 088701 (2007)
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Symmetry breaking in minimum dissipation networks
Optimal minimum-dissipation networks show weak and strong symmetry breaking with discontinuous transitions from resource scaling and reentrant symmetry restoration from fluctuations.