2015
DOI: 10.1103/physreve.92.012323
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Segregation of oppositely driven colloidal particles in hard-walled channels: A finite-size study

Abstract: We investigate segregation phenomena of particles driven in opposite directions with Brownian dynamics simulations. The particles interact via a repulsive potential and are confined in three-dimensional hard-walled pipes with quadratic cross sections. In a systematic finite-size study, the pipe length is varied. Ordering on finite length scales can be observed, but global segregation seems to vanish for infinite channel length, as it was recently found for lane formation in two dimensions. As an additional eff… Show more

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Cited by 10 publications
(7 citation statements)
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“…A similar lane-formation phenomenon has also been demonstrated in simulations of binary oppositely charged particles [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] as well as experiments [32][33][34][35]. The phase diagram of the lane formation has been examined for various combinations of the external force and the density under the * kk@cheng.es.osaka-u.ac.jp periodic boundary condition [17][18][19][20][21]31] or with confined geometry [27,29]. The finite-size effect has also been investigated [25,27,29].…”
Section: Introductionsupporting
confidence: 64%
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“…A similar lane-formation phenomenon has also been demonstrated in simulations of binary oppositely charged particles [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] as well as experiments [32][33][34][35]. The phase diagram of the lane formation has been examined for various combinations of the external force and the density under the * kk@cheng.es.osaka-u.ac.jp periodic boundary condition [17][18][19][20][21]31] or with confined geometry [27,29]. The finite-size effect has also been investigated [25,27,29].…”
Section: Introductionsupporting
confidence: 64%
“…The phase diagram of the lane formation has been examined for various combinations of the external force and the density under the * kk@cheng.es.osaka-u.ac.jp periodic boundary condition [17][18][19][20][21]31] or with confined geometry [27,29]. The finite-size effect has also been investigated [25,27,29]. In particular, the critical force that generates lane formation exhibits a logarithmic increase with the system size, which implies that global phase segregation cannot occur in a finite amount of time [25].…”
Section: Introductionmentioning
confidence: 99%
“…Such systems have been experimentally realized using certain types of colloidal particles [9][10][11] or dusty plasmas 12,13 , and have been used as a model for motion in social systems ranging from pedestrian flow 2,14 to insect movement 15 . A variety of non-laning states can appear in these systems, including jammed states where the particles block each other's motion [16][17][18][19] , pattern forming states [19][20][21][22][23][24][25] , and fully phase separated states [17][18][19] . The laning transition has many similarities to the phase separating patterns observed in related driven binary systems, indicating that formation of such patterns is a general phenomenon occurring in many nonequilibrium systems [26][27][28][29] .…”
Section: Introductionmentioning
confidence: 99%
“… 28 Related theoretical studies have considered driven colloidal particles in channels and in spatially periodic fields. 29 31 …”
mentioning
confidence: 99%