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Universal hydrodynamic mechanisms for crystallization in active colloidal suspensions (1610.06528v2)

Published 20 Oct 2016 in cond-mat.soft

Abstract: The lack of detailed balance in active colloidal suspensions allows dissipation to determine stationary states. Here we show that slow viscous flow produced by polar or apolar active colloids near plane walls mediates attractive hydrodynamic forces that drive crystallization. Hydrodynamically mediated torques tend to destabilize the crystal but stability can be regained through critical amounts of bottom-heaviness or chiral activity. Numerical simulations show that crystallization is not nucleational, as in equilibrium, but is preceded by a spinodal-like instability. Harmonic excitations of the active crystal relax diffusively but the normal modes are distinct from an equilibrium colloidal crystal. The hydrodynamic mechanisms presented here are universal and rationalize recent experiments on the crystallization of active colloids.

Citations (38)

Summary

  • The paper shows that crystallization in active colloids is driven by strong hydrodynamic interactions, overtaking thermal forces by up to four orders of magnitude.
  • Numerical simulations reveal that slow viscous flows near plane walls induce a spinodal-like instability, creating hexagonal particle ordering.
  • Adjustments in colloidal parameters, like bottom-heaviness and chiral activity, effectively stabilize the crystalline order against destabilizing torques.

Overview of "Universal Hydrodynamic Mechanisms for Crystallization in Active Colloidal Suspensions"

The paper "Universal Hydrodynamic Mechanisms for Crystallization in Active Colloidal Suspensions" by Rajesh Singh and R. Adhikari investigates the mechanisms behind the formation of crystalline structures in active colloidal suspensions near plane walls. Traditionally, colloidal suspensions in equilibrium obey detailed balance, with thermodynamic phase transitions driven by changes in free energy. However, active colloidal suspensions, characterized by out-of-equilibrium steady states, necessitate a balance of dissipative and conservative forces, presenting a deviation from equilibrium systems. These dissipative forces, primarily arising from hydrodynamic interactions, are the focal point of this paper.

Key Findings and Numerical Results

Through numerical simulations, the paper reveals that crystallization in active suspensions is driven by hydrodynamic interactions and is non-nucleational. Specifically, slow viscous flows generated by active colloids near plane walls induce long-range, attractive hydrodynamic forces that facilitate collective particle ordering into hexagonal structures. This crystallization is marked by a spinodal-like instability rather than traditional nucleation, indicating the inherent instability of the uniform state across varying densities. The hydrodynamic forces derived from active flows show strengths that surpass thermal forces by two to four orders of magnitude, corroborating their dominant role in crystallization processes.

The paper also demonstrates that, while hydrodynamic torques can disturb crystalline order, stability is restored through adjustments in colloidal parameters, such as bottom-heaviness or chiral activity. The crystallization observed experimentally in colloidal layers formed by chiral bacteria and synthetic particles is well-rationalized by the theoretical framework proposed, linking the dynamics of active systems to universal hydrodynamic mechanisms.

Mechanistic Insights

The research provides a detailed theoretical model and numerical analysis of the complex hydrodynamic interactions among active colloids influenced by a nearby wall. The results elucidate the subtle interplay between repulsive and attractive forces in establishing order: while bottom-heaviness or external torques can counter destabilizing influences of active torques, hydrodynamic interactions remain the fundamental driver of crystal formation. The model effectively captures the dynamics by considering both translational and rotational modes of active colloids, resulting in a comprehensive description of the active crystallization mechanism.

Implications and Future Directions

This work provides significant insights into the behavior of active colloidal systems, illuminating the hydrodynamic principles that govern the emergence of crystalline order in the presence of persistent dissipation. The research underscores the necessity of incorporating hydrodynamic considerations into models of active matter, which is often neglected in simpler models of motility-induced phase separation (MIPS).

For future exploration, the paper suggests potential avenues involving the role of thermal fluctuations in regimes of low activity and the paper of topological defects and their impact on the stability of active crystal phases. Additionally, the possibility of active hexatic phases as a higher temperature state invites further theoretical and experimental investigation, potentially enriching our understanding of phase transitions in active matter. This paper lays robust groundwork for diverse applications in the realms of synthetic active material design and understanding biological processes involving collective motion.

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