Minimal model for active nematics: quasi-long-range order and giant fluctuations
arXiv:cond-mat/0603080 · doi:10.1103/PhysRevLett.96.180602
Abstract
We propose a minimal microscopic model for active nematic particles similar in spirit to the Vicsek model for self-propelled polar particles. In two dimensions, we show that this model exhibits a Kosterlitz-Thouless-like transition to quasi-long-range orientational order and that in this non-equilibrium context, the ordered phase is characterized by giant density fluctuations, in agreement with the predictions of Ramaswamy {\it et al.} [Europhys. Lett. {\bf 62}, 196 (2003)].
Submitted to Phys. Rev. Lett. 4 pages, 4 figures
References in corpus (2)
Cited by in corpus (65)
- Spontaneous motion in hierarchically assembled active matter
- Collective motion of self-propelled particles interacting without cohesion
- Non-equilibrium clustering of self-propelled rods
- Swarming and swirling in self-propelled polar granular rods
- Tuned, driven, and active soft matter
- Collective Motion due to escape and pursuit response
- Enhanced diffusion and ordering of self-propelled rods
- Hydrodynamics of self-propelled hard rods
- Temperature in and out of equilibrium: a review of concepts, tools and attempts
- Large-scales patterns in a minimal cognitive flocking model: incidental leaders, nematic patterns, and aggregates
- Fluctuations and Rheology in Active Bacterial Suspensions
- Data-driven quantitative modeling of bacterial active nematics
- Traffic jams, gliders, and bands in the quest for collective motion
- An active approach to colloidal self-assembly
- Light Activated Self-Propelled Colloids
- A mean-field theory for self-propelled particles interacting by velocity alignment mechanisms
- Clustering and heterogeneous dynamics in a kinetic Monte-Carlo model of self-propelled hard disks
- Boltzmann-Ginzburg-Landau approach for continuous descriptions of generic Vicsek-like models
- Excitable Patterns in Active Nematics
- Active nematics are intrinsically phase-separated
- Self propelled particle transport in regular arrays of rigid asymmetric obstacles
- Comment on ``Phase Transitions in Systems of Self-Propelled Agents and Related Network Models''
- Mesoscale pattern formation of self-propelled rods with velocity reversal
- Dynamics of a homogeneous active dumbbell system
- Live Soap: Order, Fluctuations and Instabilities in Active Smectics
- Phase Separation and Emergent Structures in an Active Nematic
- Patterns, transitions and the role of leaders in the collective dynamics of a simple robotic flock
- Microscopic theory for hyperuniformity in two-dimensional chiral active fluid
- Violation of Porod law in a freely cooling granular gas in one dimension
- Mesoscopic Simulations of Active-Nematics
- Molecular-scale substrate anisotropy and crowding drive long-range nematic order of cell monolayers
- Predictive protocol of flocks with small-world connection pattern
- Designing, Synthesizing and Modeling Active Fluids
- Aspects of the density field in an active nematic
- Flocking with a -fold discrete symmetry: band-to-lane transition in the active Potts model
- Anomalous fluctuations in homogeneous fluid phase of active Brownian particles
- Phase Transitions and Criticality in the Collective Behavior of Animals -- Self-organization and biological function
- Promoting collective motion of self-propelled agents by distance-based influence
- Fluctuation-induced dynamics of nematic topological defects
- Hydrodynamic Equations for Flocking Models without Velocity Alignment
- Percolation transition in phase separating active fluid
- Long-range order in two-dimensional systems with fluctuating active stresses
- Collective Hall current in chiral active fluids: Coupling of phase and mass transport through traveling bands
- Singular Scaling Functions in Clustering Phenomena
- Quantifying nematic order in evaporation-driven self-assembly of Halloysite nanotubes: Nematic islands and critical aspect ratio
- Statistics for an object actively driven by spontaneous symmetry breaking into reversible directions
- A mean-field model for nematic alignment of self-propelled rods
- Singular density correlations in chiral active fluids in three dimensions
- Vectorial active matter on the lattice: polar condensates and nematic filaments
- Phases and correlations in active nematic granular systems
- How reciprocity impacts ordering and phase separation in active nematics?
- Fluctuations and symmetries in two-dimensional active gels
- Active nematic gel with quenched disorder
- Giant density fluctuations in locally hyperuniform states
- Consequence of anisotropy on flocking: the discretized Vicsek model
- Band structure in collective motion with quenched range of interaction
- Nematic alignment of self-propelled particles in the macroscopic regime
- Dynamic Phases and Combing Effects for Elongated Particles Moving Over Quenched Disorder
- Activity-induced phase transition and coarsening dynamics in dry apolar active nematics
- Aspect-ratio-dependent void formation in active rhomboidal and elliptical particle systems
- Controlling Vortex Rotation in Dry Active Matter
- Polar flocks with discretized directions: the active clock model approaching the Vicsek model
- Global Weak Solutions for the Compressible Active Liquid Crystal System
- Pseudo-giant number fluctuations and nematic order in microswimmer suspensions
- Collective behaviors of self-propelled particles with tunable alignment angles