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11 papers · 1 filter
Exponential Mixing by Orthogonal Non-Monotonic Shears
Joe Myers Hill, Rob Sturman, Mark C. T. Wilson
Non-monotonic velocity profiles are an inherent feature of mixing flows obeying non-slip boundary conditions. There are, however, few known models of laminar mixing which incorpora…
A Continuous Family of Non-Monotonic Toral Mixing Maps
Joe Myers Hill, Rob Sturman, Mark C. T. Wilson
We establish the mixing property for a family of Lebesgue measure preserving toral maps composed of two piecewise linear shears, the first of which is non-monotonic. The maps serve…
Graphics processing unit accelerated lattice Boltzmann method simulations of dilute gravity currents
Damilola Adekanye, Amirul Khan, Alan Burns +4
Lattice Boltzmann method models offer a novel framework for the simulation of high Reynolds number dilute gravity currents. The numerical algorithm is well suited to acceleration v…
A chiral topological add-drop filter for integrated quantum photonic circuits
M. Jalali Mehrabad, A. P. Foster, N. J. Martin +5
The integration of quantum emitters within topological nano-photonic devices opens up new avenues for the control of light-matter interactions at the single photon level. Here, we…
Knot probabilities in equilateral random polygons
A. Xiong, A. J. Taylor, M. R. Dennis +1
We consider the probability of knotting in equilateral random polygons in Euclidean 3-dimensional space, which model, for instance, random polymers. Results from an extensive Monte…
Complete subgraphs in a multipartite graph
Allan Lo, Andrew Treglown, Yi Zhao
In 1975 Bollobás, Erd\H os, and Szemerédi asked the following question: given positive integers with , what is the largest minimum degree among all…