Nonequilibrium dynamics of mixtures of active and passive colloidal particles
We develop a mesoscopic field theory for the collective nonequilibrium dynamics of multicomponent mixtures of interacting active (i.e., motile) and passive (i.e., nonmotile) colloidal particles with isometric shape in two spatial dimensions. By a stability analysis of the field theory, we obtain equ...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2017-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa8195 |
| _version_ | 1797750623660146688 |
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| author | Raphael Wittkowski Joakim Stenhammar Michael E Cates |
| author_facet | Raphael Wittkowski Joakim Stenhammar Michael E Cates |
| author_sort | Raphael Wittkowski |
| collection | DOAJ |
| description | We develop a mesoscopic field theory for the collective nonequilibrium dynamics of multicomponent mixtures of interacting active (i.e., motile) and passive (i.e., nonmotile) colloidal particles with isometric shape in two spatial dimensions. By a stability analysis of the field theory, we obtain equations for the spinodal that describes the onset of a motility-induced instability leading to cluster formation in such mixtures. The prediction for the spinodal is found to be in good agreement with particle-resolved computer simulations. Furthermore, we show that in active-passive mixtures the spinodal instability can be of two different types. One type is associated with a stationary bifurcation and occurs also in one-component active systems, whereas the other type is associated with a Hopf bifurcation and can occur only in active-passive mixtures. Remarkably, the Hopf bifurcation leads to moving clusters. This explains recent results from simulations of active-passive particle mixtures, where moving clusters and interfaces that are not seen in the corresponding one-component systems have been observed. |
| first_indexed | 2024-03-12T16:35:31Z |
| format | Article |
| id | doaj.art-7094411567a14e248c5a9f4dabc93c70 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:35:31Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-7094411567a14e248c5a9f4dabc93c702023-08-08T14:54:06ZengIOP PublishingNew Journal of Physics1367-26302017-01-01191010500310.1088/1367-2630/aa8195Nonequilibrium dynamics of mixtures of active and passive colloidal particlesRaphael Wittkowski0Joakim Stenhammar1Michael E Cates2Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster , D-48149 Münster, Germany; Center for Nonlinear Science (CeNoS), Westfälische Wilhelms-Universität Münster , D-48149 Münster, GermanyDivision of Physical Chemistry, Lund University , SE-221 00 Lund, SwedenDAMTP, Centre for Mathematical Sciences, University of Cambridge , Cambridge CB3 0WA, United KingdomWe develop a mesoscopic field theory for the collective nonequilibrium dynamics of multicomponent mixtures of interacting active (i.e., motile) and passive (i.e., nonmotile) colloidal particles with isometric shape in two spatial dimensions. By a stability analysis of the field theory, we obtain equations for the spinodal that describes the onset of a motility-induced instability leading to cluster formation in such mixtures. The prediction for the spinodal is found to be in good agreement with particle-resolved computer simulations. Furthermore, we show that in active-passive mixtures the spinodal instability can be of two different types. One type is associated with a stationary bifurcation and occurs also in one-component active systems, whereas the other type is associated with a Hopf bifurcation and can occur only in active-passive mixtures. Remarkably, the Hopf bifurcation leads to moving clusters. This explains recent results from simulations of active-passive particle mixtures, where moving clusters and interfaces that are not seen in the corresponding one-component systems have been observed.https://doi.org/10.1088/1367-2630/aa8195active colloidal particlesactive-passive mixturesmotility-induced instabilitymesoscopic field theoryparticle-resolved simulations |
| spellingShingle | Raphael Wittkowski Joakim Stenhammar Michael E Cates Nonequilibrium dynamics of mixtures of active and passive colloidal particles New Journal of Physics active colloidal particles active-passive mixtures motility-induced instability mesoscopic field theory particle-resolved simulations |
| title | Nonequilibrium dynamics of mixtures of active and passive colloidal particles |
| title_full | Nonequilibrium dynamics of mixtures of active and passive colloidal particles |
| title_fullStr | Nonequilibrium dynamics of mixtures of active and passive colloidal particles |
| title_full_unstemmed | Nonequilibrium dynamics of mixtures of active and passive colloidal particles |
| title_short | Nonequilibrium dynamics of mixtures of active and passive colloidal particles |
| title_sort | nonequilibrium dynamics of mixtures of active and passive colloidal particles |
| topic | active colloidal particles active-passive mixtures motility-induced instability mesoscopic field theory particle-resolved simulations |
| url | https://doi.org/10.1088/1367-2630/aa8195 |
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