Swarming in the Dirt: Ordered Flocks with Quenched Disorder

Abstract

The effect of quenched (frozen) disorder on the collective motion of active particles is analyzed. We find that active polar systems are far more robust against quenched disorder than equilibrium ferromagnets. Long ranged order (a non-zero average velocity $⟨\mathbf{v}⟩$) persists in the presence of quenched disorder even in spatial dimensions $d=3$; in $d=2$, quasi-long-ranged order (i.e., spatial velocity correlations that decay as a power law with distance) occurs. In equilibrium systems, only quasi-long-ranged order in $d=3$ and short ranged order in $d=2$ are possible. Our theoretical predictions for two dimensions are borne out by simulations.

5 pages, 1 figure. The short paper on flocking with quenched noise

References in corpus (5)

• Novel type of phase transition in a system of self-driven particles
• Spontaneously ordered motion of self-propelled particles
• Spatiotemporal order and emergent edge currents in active spinner materials
• Sounds and hydrodynamics of polar active fluids
• Hydrodynamic Theory of Flocking in the Presence of Quenched Disorder

Cited by in corpus (31)

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• Disorder-Induced Long-Ranged Correlations in Scalar Active Matter
• Hydrodynamic Theory of Flocking in the Presence of Quenched Disorder
• Enhanced dynamics of active Brownian particles in periodic obstacle arrays and corrugated channels
• The 2024 Motile Active Matter Roadmap
• Topology-driven ordering of flocking matter
• Small Obstacle in a Large Polar Flock
• Metastability of Constant-Density Flocks
• Inclusions, Boundaries and Disorder in Scalar Active Matter
• Ramifications of disorder on active particles in one dimension
• Scaling Law and Universal Drop Size Distribution of Coarsening in Conversion-Limited Phase Separation
• Speed inhomogeneity accelerates the information transfer in polar flock
• Packed swarms on dirt: two-dimensional incompressible flocks with quenched and annealed disorder
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• A new universality class describes Vicsek's flocking phase in physical dimensions
• Hydrodynamic theory of two-dimensional incompressible polar active fluids with quenched and annealed disorder
• Novel critical phenomena in compressible polar active fluids: Dynamical and Functional Renormalization Group Studies
• Active uniaxially ordered suspensions on disordered substrates
• Bond disorder enhances the information transfer in polar flock
• Incompressible polar active fluids with quenched disorder in dimensions $d>2$
• Symbiotic Dynamics in Living Liquid Crystals
• Active Jamming at Criticality
• Nonquenched rotators ease flocking and memorise it
• Polar flock with bond disorder
• Yielding in dense active matter
• Susceptibility of Orientationally-Ordered Active Matter to Chirality Disorder
• Field-controlled interfacial transport and pinning in an active spin system