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  • Letter
  • Open Access

Dynamic clustering of active rings

Ligesh Theeyancheri1, Subhasish Chaki1,2, Tapomoy Bhattacharjee3,*, and Rajarshi Chakrabarti1,†

  • 1Department of Chemistry, Indian Institute of Technology Bombay, Mumbai 400076, India
  • 2Institut für Theoretische Physik II - Soft Matter, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, D-40225 Düsseldorf, Germany
  • 3National Centre for Biological Sciences, Tata Institute of Fundamental Research, Bangalore 560065, India

  • *tapa@ncbs.res.in
  • †rajarshi@chem.iitb.ac.in

Phys. Rev. Research 6, L012038 – Published 22 February, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L012038

Abstract

A collection of rings made of active Brownian particles (ABPs) for different packing fractions and activities is investigated using computer simulations. We show that active rings display an emergent dynamic clustering instead of the conventional motility-induced phase separation (MIPS) as in the case of collection of ABPs. Surprisingly, increasing packing fraction of rings exhibits a nonmonotonicity in the dynamics due to the formation of a large number of small clusters. The conformational fluctuations of the polymers suppress the usual MIPS exhibited by ABPs. Our findings demonstrate how the motion of a collection of rings is influenced by the interplay of activity, topology, and connectivity.

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References (50)

  1. X.-L. Wu and A. Libchaber, Particle diffusion in a quasi-two-dimensional bacterial bath, Phys. Rev. Lett. 84, 3017 (2000).
  2. P. Illien, R. Golestanian, and A. Sen, ‘Fuelled’ motion: phoretic motility and collective behaviour of active colloids, Chem. Soc. Rev. 46, 5508 (2017).
  3. S. Samin and R. van Roij, Self-propulsion mechanism of active janus particles in near-critical binary mixtures, Phys. Rev. Lett. 115, 188305 (2015).
  4. I. Buttinoni, G. Volpe, F. Kümmel, G. Volpe, and C. Bechinger, Active brownian motion tunable by light, J. Phys.: Condens. Matter 24, 284129 (2012).
  5. H.-R. Jiang, N. Yoshinaga, and M. Sano, Active motion of a Janus particle by self-thermophoresis in a defocused laser beam, Phys. Rev. Lett. 105, 268302 (2010).
  6. 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).
  7. J. O'Byrne, Y. Kafri, J. Tailleur, and F. van Wijland, Time irreversibility in active matter, from micro to macro, Nature Rev. Phys. 4, 167 (2022).
  8. F. Peruani, A. Deutsch, and M. Bär, Nonequilibrium clustering of self-propelled rods, Phys. Rev. E 74, 030904(R) (2006).
  9. S. Ramaswamy, R. A. Simha, and J. Toner, Active nematics on a substrate: Giant number fluctuations and long-time tails, Europhys. Lett. 62, 196 (2003).
  10. A. Gopinath, M. F. Hagan, M. C. Marchetti, and A. Baskaran, Dynamical self-regulation in self-propelled particle flows, Phys. Rev. E 85, 061903 (2012).
  11. 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).
  12. T. Vicsek and A. Zafeiris, Collective motion, Phys. Rep. 517, 71 (2012).
  13. D. Grober, I. Palaia, M. C. Uçar, E. Hannezo, A. Šarić, and J. Palacci, Unconventional colloidal aggregation in chiral bacterial baths, Nature Phys. 19, 1680 (2023).
  14. S. Garcia, E. Hannezo, J. Elgeti, J.-F. Joanny, P. Silberzan, and N. S. Gov, Physics of active jamming during collective cellular motion in a monolayer, Proc. Natl. Acad. Sci. USA 112, 15314 (2015).
  15. A. Hopkins, B. Loewe, M. Chiang, D. Marenduzzo, and M. C. Marchetti, Motility induced phase separation of deformable cells, Soft Matter 19, 8172 (2023).
  16. J. Deseigne, O. Dauchot, and H. Chaté, Collective motion of vibrated polar disks, Phys. Rev. Lett. 105, 098001 (2010).
  17. F. Ginot, I. Theurkauff, D. Levis, C. Ybert, L. Bocquet, L. Berthier, and C. Cottin-Bizonne, Nonequilibrium equation of state in suspensions of active colloids, Phys. Rev. X 5, 011004 (2015).
  18. S. Ramaswamy, The mechanics and statistics of active matter, Annu. Rev. Condens. Matter Phys. 1, 323 (2010).
  19. K. R. Prathyusha, S. Henkes, and R. Sknepnek, Dynamically generated patterns in dense suspensions of active filaments, Phys. Rev. E 97, 022606 (2018).
  20. M. E. Cates and J. Tailleur, Motility-induced phase separation, Annu. Rev. Condens. Matter Phys. 6, 219 (2015).
  21. T. Speck, J. Bialké, A. M. Menzel, and H. Löwen, Effective Cahn-Hilliard equation for the phase separation of active brownian particles, Phys. Rev. Lett. 112, 218304 (2014).
  22. U. Basu, S. N. Majumdar, A. Rosso, and G. Schehr, Active brownian motion in two dimensions, Phys. Rev. E 98, 062121 (2018).
  23. S. De Karmakar and R. Ganesh, Motility-induced phase separation of self-propelled soft inertial disks, Soft Matter 18, 7301 (2022).
  24. 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).
  25. T. Eisenstecken, G. Gompper, and R. G. Winkler, Conformational properties of active semiflexible polymers, Polymers 8, 304 (2016).
  26. S. M. Mousavi, G. Gompper, and R. G. Winkler, Active brownian ring polymers, J. Chem. Phys. 150, 064913 (2019).
  27. A. Ghosh and N. Gov, Dynamics of active semiflexible polymers, Biophys. J. 107, 1065 (2014).
  28. T. B. Liverpool, A. C. Maggs, and A. Ajdari, Viscoelasticity of solutions of motile polymers, Phys. Rev. Lett. 86, 4171 (2001).
  29. Y. Roichman, D. G. Grier, and G. Zaslavsky, Anomalous collective dynamics in optically driven colloidal rings, Phys. Rev. E 75, 020401(R) (2007).
  30. Ö. Duman, R. E. Isele-Holder, J. Elgeti, and G. Gompper, Collective dynamics of self-propelled semiflexible filaments, Soft Matter 14, 4483 (2018).
  31. A. Rosa and R. Everaers, Ring polymers in the melt state: the physics of crumpling, Phys. Rev. Lett. 112, 118302 (2014).
  32. N. Nahali and A. Rosa, Density effects in entangled solutions of linear and ring polymers, J. Phys.: Condens. Matter 28, 065101 (2016).
  33. J. H. Choi, T. Kwon, and B. J. Sung, Relative chain flexibility determines the spatial arrangement and the diffusion of a single ring chain in linear chain films, Macromolecules 54, 11008 (2021).
  34. H. Wen, Y. Zhu, C. Peng, P. B. Sunil Kumar, and M. Laradji, Collective vortical motion and vorticity reversals of self-propelled particles on circularly patterned substrates, Phys. Rev. E 107, 024606 (2023).
  35. K. Goswami, S. Chaki, and R. Chakrabarti, Reconfiguration, swelling and tagged monomer dynamics of a single polymer chain in gaussian and non-gaussian active baths, J. Phys. A: Math. Theor. 55, 423002 (2022).
  36. N. Gnan and E. Zaccarelli, The microscopic role of deformation in the dynamics of soft colloids, Nature Phys. 15, 683 (2019).
  37. J. Smrek, I. Chubak, C. N. Likos, and K. Kremer, Active topological glass, Nature Commun. 11, 26 (2020).
  38. J. Chattopadhyay, S. Ramaswamy, C. Dasgupta, and P. K. Maiti, Two-temperature activity induces liquid-crystal phases inaccessible in equilibrium, Phys. Rev. E 107, 024701 (2023).
  39. N. Venkatareddy, J. Mandal, and P. K. Maiti, Effect of confinement and topology: 2-TIPS vs. MIPS, Soft Matter 19, 8561 (2023).
  40. J. Huang, H. Levine, and D. Bi, Bridging the gap between collective motility and epithelial–mesenchymal transitions through the active finite voronoi model, Soft Matter 19, 9389 (2023).
  41. J. P. Miranda, E. Locatelli, and C. Valeriani, Self-organized states from solutions of active ring polymers in bulk and under confinement, J. Chem. Theory Comput. (2023), doi:10.1021/acs.jctc.3c00818.
  42. E. Locatelli, V. Bianco, and P. Malgaretti, Activity-induced collapse and arrest of active polymer rings, Phys. Rev. Lett. 126, 097801 (2021).
  43. L. Theeyancheri, S. Chaki, T. Bhattacharjee, and R. Chakrabarti, Migration of active rings in porous media, Phys. Rev. E 106, 014504 (2022).
  44. P. Chopra, D. Quint, A. Gopinathan, and B. Liu, Geometric effects induce anomalous size-dependent active transport in structured environments, Phys. Rev. Fluids 7, L071101 (2022).
  45. L. Theeyancheri, S. Chaki, T. Bhattacharjee, and R. Chakrabarti, Active dynamics of linear chains and rings in porous media, J. Chem. Phys. 159, 014902 (2023).
  46. A. Agrawal, N. Ganai, S. Sengupta, and G. I. Menon, Chromatin as active matter, J. Stat. Mech. (2017) 014001.
  47. G. Shi, L. Liu, C. Hyeon, and D. Thirumalai, Interphase human chromosome exhibits out of equilibrium glassy dynamics, Nature Commun. 9, 3161 (2018).
  48. P. Patra, K. Beyer, A. Jaiswal, A. Battista, K. Rohr, F. Frischknecht, and U. S. Schwarz, Collective migration reveals mechanical flexibility of malaria parasites, Nature Phys. 18, 586 (2022).
  49. V. Bianco, E. Locatelli, and P. Malgaretti, Globulelike conformation and enhanced diffusion of active polymers, Phys. Rev. Lett. 121, 217802 (2018).
  50. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.6.L012038 for model and simulation details, intermediate scattering function, gyration tensor analysis, stress tensor analysis, additional plots, and Supplemental Movie descriptions discussed in the paper.

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