Separation of dense colloidal suspensions in narrow channels: a stochastic model

0534724 - FZÚ 2021 RIV US eng J - Journal Article
Humenyuk, Yosyp A. - Kotrla, Miroslav - Netočný, Karel - Slanina, František
Separation of dense colloidal suspensions in narrow channels: a stochastic model.
Physical Review E. Roč. 101, č. 3 (2020), s. 1-21, č. článku 032608. ISSN 2470-0045. E-ISSN 2470-0053
R&D Projects: GA ČR GA17-06716S
Institutional support: RVO:68378271
Keywords : colloidal suspensions * transport in 1D channels * particle separation * generalized asymmetric exclusion process * two different types of particles * ratch
OECD category: Condensed matter physics (including formerly solid state physics, supercond.)
Impact factor: 2.529, year: 2020
Method of publishing: Limited access
https://doi.org/10.1103/PhysRevE.101.032608

The flow of a colloidal suspension in a narrow channel of periodically varying width is described by the one-dimensional generalized asymmetric exclusion process with multiple particle occupancy. We consider particles of two different sizes. The available sites form a comblike geometry: entropic traps due to variation of channel width are modeled by pockets, attached to each site of a one-dimensional chain. This geometry, combined with periodically alternating external driving, leads to a ratchet effect which is very sensitive to particle size, thus enabling particle sorting. A typical behavior is reversal of the current orientation when we change the density of small and big particles. The two types of particles move in opposite directions, and particle separation is in principle perfect. In the simplest situation with one type of particles only, this model is exactly soluble. In the general case we use enhanced mean-field approximation as well as direct numerical simulations.
Permanent Link: http://hdl.handle.net/11104/0312903