We analyze the electrophoretic transport of a point-sized Brownian particle in a narrow channel of periodically varying cross section. The mean long-time transport coefficients (effective velocity and dispersivity) are calculated using generalized Taylor-Aris dispersion (macrotransport) theory for spatially periodic media. Analytical results for slowly varying geometries are obtained using a long-wavelength perturbation scheme for both O(1) and large Péclet numbers.
Bibliographical noteFunding Information:
K.D.D. acknowledges the support of the Camille and Henry Dreyfus Foundation New Faculty Award Program.