Hyperuniformity and phase enrichment in vortex and rotor assemblies
arXiv:2103.00296 · doi:10.1038/s41467-022-28375-9
Abstract
Ensembles of particles rotating in a two-dimensional fluid can exhibit chaotic dynamics yet develop signatures of hidden order. Such "rotors" are found in the natural world spanning vastly disparate length scales - from the rotor proteins in cellular membranes to models of atmospheric dynamics. Here we show that an initially random distribution of either ideal vortices in an inviscid fluid, or driven rotors in a viscous membrane, spontaneously self assembles. Despite arising from drastically different physics, these systems share a Hamiltonian structure that sets geometrical conservation laws resulting in distinct structural states. We find that the rotationally invariant interactions isotropically suppress long wavelength fluctuations - a hallmark of a disordered hyperuniform material. With increasing area fraction, the system orders into a hexagonal lattice. In mixtures of two co-rotating populations, the stronger population will gain order from the other and both will become phase enriched. Finally, we show that classical 2D point vortex systems arise as exact limits of the experimentally accessible microscopic membrane rotors, yielding a new system through which to study topological defects.
References in corpus (28)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- Vortices in a Bose-Einstein Condensate
- Invariant Variation Problems
- Hyperuniform States of Matter
- Fluid Flows Created by Swimming Bacteria Drive Self-Organization in Confined Suspensions
- Isotropic Band Gaps and Freeform Waveguides Observed in Hyperuniform Disordered Photonic Solids
- Hyperuniformity of critical absorbing states
- Emergent collective phenomena in a mixture of hard shapes through active rotation
- Conformal invariance in two-dimensional turbulence
- Hyperuniformity and its Generalizations
- Emergent hyperuniformity in periodically-driven emulsions
- Collective dynamics in a binary mixture of hydrodynamically coupled micro-rotors
- Circular swimming motility and disordered hyperuniform state in an algae system
- Hydrodynamics of Random-Organizing Hyperuniform Fluids
- Motile dislocations knead odd crystals into whorls
- Purely hydrodynamic ordering of rotating disks at a finite Reynolds number
- Correlated diffusion of membrane proteins and their effect on membrane viscosity
- On the mobility of extended bodies in viscous films and membranes
- Dynamic simulations of multicomponent lipid membranes over long length and time scales
- Universal and accessible entropy estimation using a compression algorithm
- Hyperuniform structures formed by shearing colloidal suspensions
- Fast crystallization of rotating membrane proteins
- Periodic and chaotic orbits of plane-confined micro-rotors in creeping flows
- Hyperuniformity with no fine tuning in sheared sedimenting suspensions
- Screening, Hyperuniformity, and Instability in the Sedimentation of Irregular Objects
- Edge wave and boundary layer of vortex matter
- Inferring entropy from structure
- Diffusion coefficients in leaflets of bilayer membranes
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- Extreme Spontaneous Deformations of Active Crystals
- Non-equilibrium dynamic hyperuniform states
- Collective Flows Drive Cavitation in Spinner Monolayers
- Hyperuniformity and conservation laws in non-equilibrium systems
- How does a hyperuniform fluid freeze?
- A geometric condition for robot-swarm cohesion and cluster-flock transition
- Mobility-induced order in active XY spins on a substrate
- Continuous symmetry breaking of low-dimensional systems driven by inhomogeneous oscillatory driving forces
- Hyperuniform interfaces in non-equilibrium phase coexistence
- Incompressible active phases at an interface. I. Formulation and axisymmetric odd flows
- Active XY model on a substrate: Density fluctuations and phase ordering
- Hydrodynamic flow field and frictional resistance coefficient of a disk rotating steadily in a compressible fluid layer with odd viscosity on a rigid substrate
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