Physics – Condensed Matter – Superconductivity
Scientific paper
1999-06-28
Phys. Rev. Lett. 82, 3641 (1999)
Physics
Condensed Matter
Superconductivity
4 pages, 4 figures
Scientific paper
10.1103/PhysRevLett.82.3641
River basins as diverse as the Nile, the Amazon, and the Mississippi satisfy certain topological invariants known as Horton's laws. Do these macroscopic (up to 10^3 km) laws extend to the micron scale? Through realistic simulations, we analyze the morphology and statistical properties of networks of vortex flow in flux-gradient-driven superconductors. We derive a phase diagram of the different network morphologies, including one in which Horton's laws of length and stream number are obeyed -- even though these networks are about 10^9 to 10^15 times smaller than geophysical river basins.
Mehta Amit P.
Nori Franco
Olson Cynthia J.
Reichhardt Charles
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