Hydrodynamic Theory of Flocking in the Presence of Quenched Disorder

Abstract

The effect of quenched (frozen) orientational disorder on the collective motion of active particles is analyzed. We find that, as with annealed disorder (Langevin noise), active polar systems are far more robust against quenched disorder than their equilibrium counterparts. In particular, long ranged order (i.e., the existence of a non-zero average velocity $⟨\mathbf{v}⟩$) persists in the presence of quenched disorder even in spatial dimensions $d=3$, while it is destroyed even by arbitrarily weak disorder in $d\le 4$ in equilibrium systems. Furthermore, in $d=2$, quasi-long-ranged order (i.e., spatial velocity correlations that decay as a power law with distance) occurs when quenched disorder is present, in contrast to the short-ranged order that is all that can survive in equilibrium. These predictions are borne out by simulations in both two and three dimensions.

22 pages, 6 figures. The long paper on flocking with quenched noise

References in corpus (6)

• Novel type of phase transition in a system of self-driven particles
• Spontaneously ordered motion of self-propelled particles
• Sounds and hydrodynamics of polar active fluids
• Swarming in the Dirt: Ordered Flocks with Quenched Disorder
• Giant fluctuations and structural effects in a flocking epithelium
• The low noise phase of a 2d active nematic

Cited by in corpus (29)

• Swarming in the Dirt: Ordered Flocks with Quenched Disorder
• Breakdown of Ergodicity and Self-Averaging in Polar Flocks with Quenched Disorder
• Emergence of dynamic vortex glasses in disordered polar active fluids
• Susceptibility of Polar Flocks to Spatial Anisotropy
• Disorder-Induced Long-Ranged Correlations in Scalar Active Matter
• Enhanced dynamics of active Brownian particles in periodic obstacle arrays and corrugated channels
• Polar flock in the presence of random quenched rotators
• Small Obstacle in a Large Polar Flock
• Inclusions, Boundaries and Disorder in Scalar Active Matter
• Metastability of Constant-Density Flocks
• 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
• Active nematics with quenched disorder
• A new universality class describes Vicsek's flocking phase in physical dimensions
• Binary phase separation in a collection of self-propelled particle with variable speed
• 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
• Flocking turbulence of microswimmers in confined domains
• Polar flock with bond disorder
• Nonquenched rotators ease flocking and memorise it
• Synchronized Rotations of Active Particles on Chemical Substrates
• Topological defects in polar active matter
• Susceptibility of Orientationally-Ordered Active Matter to Chirality Disorder