Topological Invariants in Microscopic Transport on Rough Landscapes: Morphology, Hierarchical Structure, and Horton Analysis of Riverlike Networks of Vortices
A. P. Mehta, C. Reichhardt, C. J. Olson, Franco Nori
Abstract
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 103 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 109 to 1015 times smaller than geophysical river basins.
Create a lesson
Related papers
Superconductivity in Pb2-xBixPd Single Crystals
S. Srivastava, R. P. Singh
Type-I superconductivity in a quasi-2D topologically nontrivial YbBi2
Karolina Górnicka, Sudip Malick, Joanna Bławat et al.
Generic thermodynamics of condensates with extremely small superfluid density ---Application to UTe2 and hidden second phase transition---
Kazushige Machida
Vortex-mediated spin current injection into two-dimensional superconductor NbSe2
Meng Yang, Xiaolong Yin, Jingjing Liu et al.
Superconductivity at the metal-insulator phase boundary in a bulk nickelate at ambient pressure
Hyo-Bin Ahn, Xinglong Chen, Hong Zheng et al.
Crystallographic imperfections and exotic superconductivity of UBe13
Andreas Leithe-Jasper, Markus König, Yusei Shimizu et al.