Steering particles by breaking symmetries. (9th May 2018)

• Record Type: Journal Article
• Authors: Bet, Bram; Samin, Sela; Georgiev, Rumen; Eral, Huseyin Burak; van Roij, René
• Is Part Of: Journal of physics. Volume 30:Number 22(2018)
• Publication Date: 2018-05-09
• Subjects: microfluidics -- Hele-Shaw channels -- self-steering particles; Condensed matter -- Periodicals; Matière condensée -- Périodiques; Vaste stoffen; Vloeistoffen; Natuurkunde; Electronic journals; Computer network resources; 530.4105
• DOI: 10.1088/1361-648X/aabea9
• Languages: English
• ISSNs: 0953-8984

Abstract

Abstract: We derive general equations of motions for highly-confined particles that perform quasi-two-dimensional motion in Hele-Shaw channels, which we solve analytically, aiming to derive design principles for self-steering particles. Based on symmetry properties of a particle, its equations of motion can be simplified, where we retrieve an earlier-known equation of motion for the orientation of dimer particles consisting of disks (Uspal et al 2013 Nat. Commun .4 ), but now in full generality. Subsequently, these solutions are compared with particle trajectories that are obtained numerically. For mirror-symmetric particles, excellent agreement between the analytical and numerical solutions is found. For particles lacking mirror symmetry, the analytic solutions provide means to classify the motion based on particle geometry, while we find that taking the side-wall interactions into account is important to accurately describe the trajectories.