Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access
  • Access by Xinjiang University

Magnetically assisted trapping of passive colloids by active dipolar chain

A. Compagnie1,2, N. Vandewalle2, and E. Opsomer2,*

  • *Contact author: eric.opsomer@uliege.be

Phys. Rev. E 113, 055421 – Published 27 May, 2026

DOI: https://doi.org/10.1103/lfch-5drf

Abstract

We investigate a trapping mechanism for passive Brownian particles based on mixtures with self-propelled dipolar colloids. Active dipoles, whose magnetic moment is oriented perpendicularly to their propulsion direction, spontaneously form dynamic chains that collapse into clusters through dipole-dipole interactions. These transient structures efficiently capture nearby passive particles, forming dense phases at relatively low global packing fractions. Using Brownian dynamics simulations, we analyze how the capture efficiency depends on the Péclet number (Pe) and dipolar interaction strength (λ). We demonstrate that an external magnetic field, applied briefly to align the active dipoles, significantly enhances trapping efficiency, with capture fractions exceeding 50% under optimal conditions. Our results reveal a nontrivial competition between activity and dipolar forces, governed by the ratio λ/Pe, and offer insights into designing self-organized trapping strategies for passive colloids.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (56)

  1. J. Elgeti, R. G. Winkler, and G. Gompper, Physics of microswimmers—single particle motion and collective behavior: a review, Rep. Prog. Phys. 78, 056601 (2015).
  2. T. Vicsek and A. Zafeiris, Collective motion, Phys. Rep. 517, 71 (2012).
  3. C. Dombrowski, L. Cisneros, S. Chatkaew, R. E. Goldstein, and J. O. Kessler, Self-concentration and large-scale coherence in bacterial dynamics, Phys. Rev. Lett. 93, 098103 (2004).
  4. A. Sokolov, I. S. Aranson, J. O. Kessler, and R. E. Goldstein, Concentration dependence of the collective dynamics of swimming bacteria, Phys. Rev. Lett. 98, 158102 (2007).
  5. A. Cavagna and I. Giardina, Bird flocks as condensed matter, Annu. Rev. Condens. Matter Phys. 5, 183 (2014).
  6. A. Kudrolli, G. Lumay, D. Volfson, and L. S. Tsimring, Swarming and swirling in self-propelled polar granular rods, Phys. Rev. Lett. 100, 058001 (2008).
  7. J. Deseigne, O. Dauchot, and H. Chaté, Collective motion of vibrated polar disks, Phys. Rev. Lett. 105, 098001 (2010).
  8. A. Walther and A. H. E. Müller, Janus particles: Synthesis, self-assembly, physical properties, and applications, Chem. Rev. 113, 5194 (2013).
  9. C. Bechinger, R. Di Leonardo, H. Löwen, C. Reichhardt, G. Volpe, and G. Volpe, Active particles in complex and crowded environments, Rev. Mod. Phys. 88, 045006 (2016).
  10. S. A. Mallory, C. Valeriani, and A. Cacciuto, An active approach to colloidal self-assembly, Annu. Rev. Phys. Chem. 69, 59 (2018).
  11. A. P. Solon, M. E. Cates, and J. Tailleur, Active brownian particles and run-and-tumble particles: A comparative study, Eur. Phys. J.: Spec. Top. 224, 1231 (2015).
  12. D. Martin, J. O'Byrne, M. E. Cates, É. Fodor, C. Nardini, J. Tailleur, and F. Van Wijland, Statistical mechanics of active Ornstein-Uhlenbeck particles, Phys. Rev. E 103, 032607 (2021).
  13. M. E. Cates and J. Tailleur, Motility-induced phase separation, Annu. Rev. Condens. Matter Phys. 6, 219 (2015).
  14. Y. Fily and M. C. Marchetti, Athermal phase separation of self-propelled particles with no alignment, Phys. Rev. Lett. 108, 235702 (2012).
  15. G. S. Redner, M. F. Hagan, and A. Baskaran, Structure and dynamics of a phase-separating active colloidal fluid, Phys. Rev. Lett. 110, 055701 (2013).
  16. J. Bialké, H. Löwen, and T. Speck, Microscopic theory for the phase separation of self-propelled repulsive disks, EPL (Europhysics Letters) 103, 30008 (2013).
  17. A. Suma, G. Gonnella, D. Marenduzzo, and E. Orlandini, Motility-induced phase separation in an active dumbbell fluid, EPL (Europhysics Letters) 108, 56004 (2014).
  18. X.-q. Shi and H. Chaté, Self-propelled rods: Linking alignment-dominated and repulsion-dominated active matter, arXiv:1807.00294.
  19. O. Pohl and H. Stark, Dynamic clustering and chemotactic collapse of self-phoretic active particles, Phys. Rev. Lett. 112, 238303 (2014).
  20. B. Liebchen, D. Marenduzzo, and M. E. Cates, Phoretic interactions generically induce dynamic clusters and wave patterns in active colloids, Phys. Rev. Lett. 118, 268001 (2017).
  21. H. Stark, Artificial chemotaxis of self-phoretic active colloids: Collective behavior, Acc. Chem. Res. 51, 2681 (2018).
  22. T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Shochet, Novel type of phase transition in a system of self-driven particles, Phys. Rev. Lett. 75, 1226 (1995).
  23. J. Barré, R. Chétrite, M. Muratori, and F. Peruani, Motility-induced phase separation of active particles in the presence of velocity alignment, J. Stat. Phys. 158, 589 (2015).
  24. A. Martín-Gómez, D. Levis, A. Díaz-Guilera, and I. Pagonabarraga, Collective motion of active Brownian particles with polar alignment, Soft Matter 14, 2610 (2018).
  25. P. Baconnier, O. Dauchot, V. Démery, G. Düring, S. Henkes, C. Huepe, and A. Shee, Self-aligning polar active matter, Rev. Mod. Phys. 97, 015007 (2025).
  26. M. Musacchio, A. P. Antonov, H. Löwen, and L. Caprini, Self-alignment and anti-self-alignment suppress motility-induced phase separation in active systems, J. Chem. Phys. 162, 244902 (2025).
  27. S. H. L. Klapp, Collective dynamics of dipolar and multipolar colloids: From passive to active systems, Curr. Opin. Colloid Interface Sci. 21, 76 (2016).
  28. A. Kaiser, K. Popowa, and H. Löwen, Active dipole clusters: From helical motion to fission, Phys. Rev. E 92, 012301 (2015).
  29. J. Yan, M. Han, J. Zhang, C. Xu, E. Luijten, and S. Granick, Reconfiguring active particles by electrostatic imbalance, Nat. Mater. 15, 1095 (2016).
  30. G.-J. Liao, C. K. Hall, and S. H. L. Klapp, Dynamical self-assembly of dipolar active Brownian particles in two dimensions, Soft Matter 16, 2208 (2020).
  31. V. Telezki and S. Klumpp, Simulations of structure formation by confined dipolar active particles, Soft Matter 16, 10537 (2020).
  32. M. Kelidou, M. Fazelzadeh, B. Parage, M. Van Dijk, T. Hooijschuur, and S. Jabbari-Farouji, Active string fluids and gels formed by dipolar active Brownian particles in 3D, J. Chem. Phys. 161, 104904 (2024).
  33. A. B. Yener and S. H. L. Klapp, Self-assembly of three-dimensional ensembles of magnetic particles with laterally shifted dipoles, Soft Matter 12, 2066 (2016).
  34. X. Chao, K. Skipper, C. P. Royall, S. Henkes, and T. B. Liverpool, Traveling strings of active dipolar colloids, Phys. Rev. Lett. 134, 018302 (2025).
  35. G.-J. Liao and S. H. L. Klapp, Emergent vortices and phase separation in systems of chiral active particles with dipolar interactions, Soft Matter 17, 6833 (2021).
  36. V. Telezki and S. Klumpp, Patterns of active dipolar particles in external magnetic fields, Phys. Rev. E 112, 065422 (2025).
  37. B. Parage and S. Jabbari-Farouji, Modulation of nonequilibrium structures of active dipolar particles by an external field, Phys. Rev. E 112, 065402 (2025).
  38. T. Kolb and D. Klotsa, Active binary mixtures of fast and slow hard spheres, Soft Matter 16, 1967 (2020).
  39. J. Stenhammar, R. Wittkowski, D. Marenduzzo, and M. E. Cates, Activity-induced phase separation and self-assembly in mixtures of active and passive particles, Phys. Rev. Lett. 114, 018301 (2015).
  40. R. Wittkowski, J. Stenhammar, and M. E. Cates, Nonequilibrium dynamics of mixtures of active and passive colloidal particles, New J. Phys. 19, 105003 (2017).
  41. P. Dolai, A. Simha, and S. Mishra, Phase separation in binary mixtures of active and passive particles, Soft Matter 14, 6137 (2018).
  42. D. Rogel Rodriguez, F. Alarcon, R. Martinez, J. Ramírez, and C. Valeriani, Phase behaviour and dynamical features of a two-dimensional binary mixture of active/passive spherical particles, Soft Matter 16, 1162 (2020).
  43. S. Gokhale, J. Li, A. Solon, J. Gore, and N. Fakhri, Dynamic clustering of passive colloids in dense suspensions of motile bacteria, Phys. Rev. E 105, 054605 (2022).
  44. M. Mijalkov and G. Volpe, Sorting of chiral microswimmers, Soft Matter 9, 6376 (2013).
  45. B.-Q. Ai, S. Quan, and F.-g. Li, Spontaneous demixing of chiral active mixtures in motility-induced phase separation, New J. Phys. 25, 063025 (2023).
  46. S. R. McCandlish, A. Baskaran, and M. F. Hagan, Spontaneous segregation of self-propelled particles with different motilities, Soft Matter 8, 2527 (2012).
  47. J. Agudo-Canalejo and R. Golestanian, Active phase separation in mixtures of chemically interacting particles, Phys. Rev. Lett. 123, 018101 (2019).
  48. J. Stürmer, M. Seyrich, and H. Stark, Chemotaxis in a binary mixture of active and passive particles, J. Chem. Phys. 150, 214901 (2019).
  49. R. C. Maloney and C. K. Hall, Clustering and phase separation in mixtures of dipolar and active particles in an external field, Langmuir 36, 6378 (2020).
  50. R. C. Maloney, G.-J. Liao, S. H. L. Klapp, and C. K. Hall, Clustering and phase separation in mixtures of dipolar and active particles, Soft Matter 16, 3779 (2020).
  51. Y. Xi, T. Marzin, R. B. Huang, T. J. Jones, and P.-T. Brun, Emergent behaviors of buckling-driven elasto-active structures, Proc. Natl. Acad. Sci. 121, e2410654121 (2024).
  52. R. Sinaasappel, K. R. Prathyusha, H. Tuazon, E. Mirzahossein, P. Illien, S. Bhamla, and A. Deblais, Particle sweeping and collection by active and living filaments, Phys. Rev. X 16, 011003 (2026).
  53. W. Gao, X. Feng, A. Pei, Y. Gu, J. Li, and J. Wang, Seawater-driven magnesium based Janus micromotors for environmental remediation, Nanoscale 5, 4696 (2013).
  54. B. Jurado-Sánchez, S. Sattayasamitsathit, W. Gao, L. Santos, Y. Fedorak, V. V. Singh, J. Orozco, M. Galarnyk, and J. Wang, Self-propelled activated carbon janus micromotors for efficient water purification, Small 11, 499 (2015).
  55. M. E. O'Neill, PCG: A family of simple fast space-efficient statistically good algorithms for random number generation, Tech. Rep. No. HMC-CS-2014-0905 (Harvey Mudd College, Claremont, CA, 2014).
  56. A. Compagnie, N. Vandewalle, and E. Opsomer, Magnetically assisted trapping of passive colloids by active dipolar chains - data [Dataset], Zenodo, 2026, https://doi.org/10.5281/zenodo.17279856.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation