182 citations · 810 across the 37 of their papers we have counts for
4 papers · 1 filter
Identifying Invariant Ergodic Subsets and Barriers to Mixing by Cutting and Shuffling: Study in a Bi-rotated Hemisphere
Thomas F. Lynn, Julio M. Ottino, Paul B. Umbanhowar +1
Mixing by cutting-and-shuffling can be mathematically described by the dynamics of piecewise isometries (PWIs), higher dimensional analogs of one-dimensional interval exchange tran…
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…
A Study in Three-Dimensional Chaotic Dynamics: Granular Flow and Transport in a Bi-Axial Spherical Tumbler
Ivan C. Christov, Richard M. Lueptow, Julio M. Ottino +1
We study 3D chaotic dynamics through an analysis of transport in a granular flow in a half-full spherical tumbler rotated sequentially about two orthogonal axes (a bi-axial "blinki…