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We present a comprehensive description of vector chromatography that includesdeterministic and stochastic transport in 1D-periodic free-energy landscapes,with both energetic and entropic contributions, and highlights the parametersgoverning the deflection angle, i.e. the Peclet number and the partition ratio.We also investigate the dependence of the deflection angle on the shape of thefree-energy landscape by varying the width of the linear transitions in anotherwise dichotomous potential. Finally, we present experimental resultsobtained in a microfluidic system in which gravity drives the suspendedparticles and, in combination with a bottom surface patterned with shallowrectangular grooves, creates a periodic landscape of (potential) energybarriers. The experiments validate the model and demonstrate that a simple,passive microdevice can lead to vector separation of colloidal particles basedon both size and density.

Stochastic and Deterministic Vector Chromatography of Suspended Particles in 1D-Periodic Potentials