title: Resonant chaotic mixing in a cellular flow.
abstract: This Letter presents a quantitative theory of resonant mixing in time-dependent volume-preserving 3D flows using a model cellular flow introduced in T. Solomon and I. Mezic, Nature (London) 425, 376 (2003), as an example. Specifically, we show that chaotic advection is dramatically enhanced by a time-dependent perturbation for certain resonant frequencies. We compute the fraction of the mixed volume as a function of the frequency of the perturbation and show that essentially complete mixing in 3D is achieved at every resonant frequency.
authors.affiliation: School of Physics, Georgia Institute of Technology, Georgia 30332, USA.
authors.forename: Dmitri L
authors.initials: DL
authors.lastname: Vainchtein
authors.forename: John
authors.initials: J
authors.lastname: Widloski
authors.forename: Roman O
authors.initials: RO
authors.lastname: Grigoriev