Emergence and melting of active vortex crystals

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Martin James
  • Dominik Anton Suchla
  • Jörn Dunkel
  • Michael Wilczek

Externe Organisationen

  • Max-Planck-Institut für Dynamik und Selbstorganisation (MPIDS)
  • Massachusetts Institute of Technology (MIT)
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Details

OriginalspracheEnglisch
Aufsatznummer5630
FachzeitschriftNature Communications
Jahrgang12
Ausgabenummer1
PublikationsstatusVeröffentlicht - 24 Sept. 2021

Abstract

Melting of two-dimensional (2D) equilibrium crystals is a complex phenomenon characterized by the sequential loss of positional and orientational order. In contrast to passive systems, active crystals can self-assemble and melt into an active fluid by virtue of their intrinsic motility and inherent non-equilibrium stresses. Currently, the non-equilibrium physics of active crystallization and melting processes is not well understood. Here, we establish the emergence and investigate the melting of self-organized vortex crystals in 2D active fluids using a generalized Toner-Tu theory. Performing extensive hydrodynamic simulations, we find rich transition scenarios. On small domains, we identify a hysteretic transition as well as a transition featuring temporal coexistence of active vortex lattices and active turbulence, both of which can be controlled by self-propulsion and active stresses. On large domains, an active vortex crystal with solid order forms within the parameter range corresponding to active vortex lattices. The melting of this crystal proceeds through an intermediate hexatic phase. Generally, these results highlight the differences and similarities between crystalline phases in active fluids and their equilibrium counterparts.

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Fachgebiet (basierend auf ÖFOS 2012)

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Emergence and melting of active vortex crystals. / James, Martin; Suchla, Dominik Anton; Dunkel, Jörn et al.
in: Nature Communications, Jahrgang 12, Nr. 1, 5630, 24.09.2021.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

James, M, Suchla, DA, Dunkel, J & Wilczek, M 2021, 'Emergence and melting of active vortex crystals', Nature Communications, Jg. 12, Nr. 1, 5630. https://doi.org/10.1038/s41467-021-25545-z
James, M., Suchla, D. A., Dunkel, J., & Wilczek, M. (2021). Emergence and melting of active vortex crystals. Nature Communications, 12(1), Artikel 5630. https://doi.org/10.1038/s41467-021-25545-z
James M, Suchla DA, Dunkel J, Wilczek M. Emergence and melting of active vortex crystals. Nature Communications. 2021 Sep 24;12(1):5630. doi: 10.1038/s41467-021-25545-z
James, Martin ; Suchla, Dominik Anton ; Dunkel, Jörn et al. / Emergence and melting of active vortex crystals. in: Nature Communications. 2021 ; Jahrgang 12, Nr. 1.
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AU - James, Martin

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AU - Wilczek, Michael

N1 - Funding Information: This work was supported by the Max Planck Society. M.W. gratefully acknowledges a Fulbright-Cottrell Award grant. M.J. gratefully acknowledges financial support through an IMPRS-PBCS fellowship. M.J. thanks Stephan Herminghaus and Marcus Müller for helpful discussions.

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N2 - Melting of two-dimensional (2D) equilibrium crystals is a complex phenomenon characterized by the sequential loss of positional and orientational order. In contrast to passive systems, active crystals can self-assemble and melt into an active fluid by virtue of their intrinsic motility and inherent non-equilibrium stresses. Currently, the non-equilibrium physics of active crystallization and melting processes is not well understood. Here, we establish the emergence and investigate the melting of self-organized vortex crystals in 2D active fluids using a generalized Toner-Tu theory. Performing extensive hydrodynamic simulations, we find rich transition scenarios. On small domains, we identify a hysteretic transition as well as a transition featuring temporal coexistence of active vortex lattices and active turbulence, both of which can be controlled by self-propulsion and active stresses. On large domains, an active vortex crystal with solid order forms within the parameter range corresponding to active vortex lattices. The melting of this crystal proceeds through an intermediate hexatic phase. Generally, these results highlight the differences and similarities between crystalline phases in active fluids and their equilibrium counterparts.

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