Predicting mixing via resonances: Application to spherical piecewise isometries.
basic_science · Level V
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- Record sourced from PubMed, PMID 28709217.
- Also identified by DOI 10.1103/PhysRevE.95.062210.
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Abstract
We present an analytic method to find the areas of nonmixing regions in orientation-preserving spherical piecewise isometries (PWIs), and apply it to determine the mixing efficacy of a class of spherical PWIs derived from granular flow in a biaxial tumbler. We show that mixing efficacy has a complex distribution across the protocol space, with local minima in mixing efficacy, termed resonances, that can be determined analytically. These resonances are caused by the interaction of two mode-locking-like phenomena.