12 citations · 25 across the 8 of their papers we have counts for
8 papers
Maximally mixing active nematics
Kevin A. Mitchell, Md Mainul Hasan Sabbir, Kevin Geumhan +3
Active nematics are an important new paradigm in soft condensed matter systems. They consist of rod-like components with an internal driving force pushing them out of equilibrium.…
Topological Entropy of Surface Braids and Maximally Efficient Mixing
Spencer A. Smith, Sierra Dunn
The deep connections between braids and dynamics by way of the Nielsen-Thurston classification theorem have led to a wide range of practical applications. Braids have been used to…
Ensemble-based Topological Entropy Calculation (E-tec)
Eric Roberts, Suzanne Sindi, Spencer Smith +1
Topological entropy measures the number of distinguishable orbits in a dynamical system, thereby quantifying the complexity of chaotic dynamics. One approach to computing topologic…
Topological Chaos in a Three-Dimensional Spherical Fluid Vortex
Spencer A. Smith, Joshua Arenson, Eric Roberts +2
In chaotic deterministic systems, seemingly stochastic behavior is generated by relatively simple, though hidden, organizing rules and structures. Prominent among the tools used to…
Using invariant manifolds to construct symbolic dynamics for three-dimensional volume-preserving maps
Bryan Maelfeyt, Spencer A. Smith, Kevin A. Mitchell
Topological techniques are powerful tools for characterizing the complexity of many dynamical systems, including the commonly studied area-preserving maps of the plane. However, th…
Reynolds number effects on mixing due to topological chaos
Spencer A. Smith, Sangeeta Warrier
Topological chaos has emerged as a powerful tool to investigate fluid mixing. While this theory can guarantee a lower bound on the stretching rate of certain material lines, it doe…
Point Vortices: Finding Periodic Orbits and their Topological Classification
Spencer A. Smith
The motion of point vortices constitutes an especially simple class of solutions to Euler's equation for two dimensional, inviscid, incompressible, and irrotational fluids. In addi…
A Robust Numerical Method for Integration of Point-Vortex Trajectories in Two Dimensions
Spencer A. Smith, Bruce M. Boghosian
The venerable 2D point-vortex model plays an important role as a simplified version of many disparate physical systems, including superfluids, Bose-Einstein condensates, certain pl…