title: Dispersion of overdamped diffusing particles in channel flows coupled to transverse acoustophoretic potentials: transport regimes and scaling anomalies.
abstract: We address the dispersion properties of overdamped Brownian particles migrating in a two-dimensional acoustophoretic microchannel, where a pressure-driven axial Stokes flow coexists with a transverse acoustophoretic potential. Depending on the number and symmetries of the stable nodal points of the acoustophoretic force with respect to the axial velocity profile, different convection-enhanced dispersion regimes can be observed. Among these regimes, an anomalous scaling, for which the axial dispersion increases exponentially with the particle Peclét number, is observed whenever two or more stable acoustophoretic nodes are associated with different axial velocities. A theoretical explanation of this regime is derived, based on exact moment homogenization. Attention is also focused on transient dispersion, which can exhibit superballistic behavior 〈(x-〈x〉)^{2}〉∼t^{3},x being the axial coordinate.
authors.affiliation: Dipartimento di Ingegneria Chimica, Materiali, Ambiente, La Sapienza Università di Roma, Via Eudossiana 18, 00184 Roma, Italy.
authors.forename: Massimiliano
authors.initials: M
authors.lastname: Giona
authors.affiliation: Department of Biomedical Engineering, Lund University, Ole Römers Väg 3, 22363 Lund, Sweden.
authors.forename: Fabio
authors.initials: F
authors.lastname: Garofalo
mesh_terms: D003198:Computer Simulation; D008962:Models, Theoretical; D009038:Motion; D013269:Stochastic Processes