Acceleration of one-dimensional mixing by discontinuous mappings
The paper considers a simple class of models for mixing of a passive tracer into a bulk material that is essentially one dimensional. We examine the relative rates of mixing due to diffusion, stretch and fold operations and permutation of sections of the sample. In particular we show how a combination of diffusion with permutation of sections of the sample (‘chopping and shuffling’) can achieve a faster rate of mixing than pure diffusion. This is done by numerical approximation of eigenvalues of certain linear operators.
Copyright © 2002 Elsevier. NOTICE: This is the author’s version of a work accepted for publication by Elsevier. Changes resulting from the publishing process, including peer review, editing, corrections, structural formatting and other quality control mechanisms, may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physica A, Vol 310, Issues 3-4, 2002, DOI:10.1016/S0378-4371(02)00774-4
310 (3-4), pp. 347-363