17 citations · 28 across the 2 of their papers we have counts for
3 papers · 1 filter
Cutting and shuffling a hemisphere: non-orthogonal axes
Thomas F. Lynn, Lachlan D. Smith, Julio M. Ottino +2
We examine the dynamics of cutting-and-shuffling a hemispherical shell driven by alternate rotation about two horizontal axes using the framework of piecewise isometry (PWI) theory…
Optimized mixing by cutting-and-shuffling
Lachlan D. Smith, Paul B. Umbanhowar, Julio M. Ottino +1
Mixing by cutting-and-shuffling can be understood and predicted using dynamical systems based tools and techniques. In existing studies, mixing is generated by maps that repeat the…
Chaos and the Flow Capture Problem: Polluting is Easy, Cleaning is Hard
Lachlan D. Smith, Guy Metcalfe, Julio M. Ottino
Cleaning pollution from a heterogeneous flow environment is far from simple. We consider the flow capture problem, which has flows and sinks in a heterogeneous environment, and inv…