Revisiting the flocking transition using active spins

Abstract

We consider an active Ising model in which spins both diffuse and align on lattice in one and two dimensions. The diffusion is biased so that plus or minus spins hop preferably to the left or to the right, which generates a flocking transition at low temperature/high density. We construct a coarse-grained description of the model that predicts this transition to be a first-order liquid-gas transition in the temperature-density ensemble, with a critical density sent to infinity. In this first-order phase transition, the magnetization is proportional to the liquid fraction and thus varies continuously. Using microscopic simulations, we show that this theoretical prediction holds in 2d whereas the fluctuations alter the transition in 1d, preventing for instance any spontaneous symmetry breaking.

V2: addition of Supplementary materials (3 pages + 3 movies) and some changes in the text

References in corpus (17)

• Novel type of phase transition in a system of self-driven particles
• Interaction Ruling Animal Collective Behaviour Depends on Topological rather than Metric Distance: Evidence from a Field Study
• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Collective motion of self-propelled particles interacting without cohesion
• Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
• Non-equilibrium clustering of self-propelled rods
• Collective motion and nonequilibrium cluster formation in colonies of gliding bacteria
• Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
• Sedimentation, trapping, and rectification of dilute bacteria
• Pattern formation in self-propelled particles with density-dependent motility
• Self-Starting Micromotors in a Bacterial Bath
• Enhanced diffusion and ordering of self-propelled rods
• Hydrodynamics of self-propelled hard rods
• Pattern formation of microtubules and motors: inelastic interaction of polar rods
• Mapping out of equilibrium into equilibrium in one-dimensional transport models
• Kinetic theory for systems of self-propelled particles with metric-free interactions
• Phase diagram of two-lane driven diffusive systems

Cited by in corpus (115)

• Motility-Induced Phase Separation
• How far from equilibrium is active matter?
• Computational models for active matter
• From Phase to Micro-Phase Separation in Flocking Models: The Essential Role of Non-Equilibrium Fluctuations
• Long-range nematic order and anomalous fluctuations in suspensions of swimming filamentous bacteria
• Irreversibility and biased ensembles in active matter: Insights from stochastic thermodynamics
• Entropy production of active particles and for particles in active baths
• Large-scale chaos and fluctuations in active nematics
• Exact Hydrodynamic Description of Active Lattice Gases
• Flocking with discrete symmetry: the 2d Active Ising Model
• Autonomous engines driven by active matter: Energetics and design principles
• Emergent spatial structures in flocking models: a dynamical system insight
• Pattern formation in flocking models: A hydrodynamic description
• Clustering and flocking of repulsive chiral active particles with non-reciprocal couplings
• Invasion-wave induced first-order phase transition in systems of active particles
• Phase separation and large deviations of lattice active matter
• Anomalous Topological Active Matter
• Nonreciprocal Cahn-Hilliard model emerges as a universal amplitude equation
• Mesoscale pattern formation of self-propelled rods with velocity reversal
• Fluctuation-induced phase separation in metric and topological models of collective motion
• Active phase separation: new phenomenology from non-equilibrium physics
• Flocking of two unfriendly species: The two-species Vicsek model
• Susceptibility of Polar Flocks to Spatial Anisotropy
• Thermodynamic uncertainty relation for underdamped Langevin systems driven by a velocity-dependent force
• Interpretable machine learning for inferring the phase boundaries in a nonequilibrium system
• Macroscopic Stochastic Thermodynamics
• Active Matter Class with Second-Order Transition to Quasi-Long-Range Polar Order
• Phase Separation and Emergent Structures in an Active Nematic
• Hard core run and tumble particles on a one dimensional lattice
• An Introduction to Motility-Induced Phase Separation
• Rheology of active fluids
• Activity-induced phase transition in a quantum many-body system
• Numerical treatment of the Boltzmann equation for self-propelled particle systems
• A continuous-time persistent random walk model for flocking
• Towards a quantitative kinetic theory of polar active matter
• Bodies in an Interacting Active Fluid: Far-Field Influence of a Single Body and Interaction Between Two Bodies
• Active matter beyond mean-field: Ring-kinetic theory for self-propelled particles
• Speed-Dispersion Induced Alignment : a 1D model inspired by swimming droplets experiments
• The energy cost for flocking of active spins: the cusped dissipation maximum at the flocking transition
• Flocking and reorientation transition in the 4-state active Potts model
• Metastability of Discrete-Symmetry Flocks
• Non-Gaussian anomalous dynamics in systems of interacting run-and-tumble particles
• Diversity of phase transitions and phase separations in active fluids
• Flocking with a $q$-fold discrete symmetry: band-to-lane transition in the active Potts model
• Thermodynamically consistent flocking: From discontinuous to continuous transitions
• Collection of polar self-propelled particles with a modified alignment interaction
• Adaptive network models of collective decision making in swarming systems
• Active Ising Models of Flocking: A Field-Theoretic Approach
• Hydrodynamics, superfluidity and giant number fluctuations in a model of self-propelled particles
• Topological sound in active-liquid metamaterials
• Polar active liquids: a universal classification rooted in nonconservation of momentum
• Re-entrant phase separation in nematically aligning active polar particles
• Effective estimation of entropy production with lacking data
• Poissonian cellular Potts models reveal nonequilibrium kinetics of cell sorting
• Active polar flock with birth and death
• Kinetic Monte-Carlo Algorithms for Active-Matter systems
• Flocking in One Dimension: Asters and Reversals
• Emergent complex phases in a discrete flocking model with reciprocal and non-reciprocal interactions
• Fluctuation-Induced First Order Transition to Collective Motion
• Nonequilibrium steady states in Langevin thermal systems
• Binary phase separation in a collection of self-propelled particle with variable speed
• Coupling spin to velocity: collective motion of Hamiltonian polar particles
• Sampling rare fluctuations of discrete-time Markov chains
• Non-reciprocal interactions spatially propagate fluctuations in a 2D Ising model
• Minimal stochastic field equations for one-dimensional flocking
• The microscopic phase density functional approach to the construction of the kinetic and hydrodynamic description for the system of self-propelled particles
• Jamming and flocking in the restricted active Potts model
• Age representation of Levy walks: partial density waves, relaxation and first passage time statistics
• Order-disorder transition in active nematic: A lattice model study
• Continuous symmetry breaking of low-dimensional systems driven by inhomogeneous oscillatory driving forces
• Spontaneous pulsing states in an active particle system
• Quantifying dissipation in flocking dynamics: When tracking internal states matters
• Environment-stored memory in active nematics and extra-cellular matrix remodeling
• Microphase separation in active filament systems is maintained by cyclic dynamics of cluster size and order
• Three-body Interactions Drive the Transition to Polar Order in a Simple Flocking Model
• Reentrant condensation transition in a model of driven scalar active matter with diffusivity edge
• Propelling Ferrimagnetic Domain Walls by Dynamical Frustration
• Active quantum flocks
• Diffusive oscillators capture the pulsating states of deformable particles
• Motility-Induced Pinning in Flocking System with Discrete Symmetry
• Power-law correlation in the homogeneous disordered state of anisotropically self-propelled systems
• Transport coefficients of self-propelled particles. II. Numerics for vorticity fluctuations and the reverse perturbation method
• Transport coefficients of self-propelled particles: Reverse perturbations and transverse current correlations
• Flip motion of solitary wave in an Ising-type Vicsek model
• Entropy production rate in thermodynamically consistent flocks
• Adaptive stochastic continuation with a modified lifting procedure applied to complex systems
• Scaling behaviour of non-equilibrium planar $N$-atic spin systems under weak fluctuations
• Collective motion of granular matter subjected to swirling excitation
• Dynamical patterns and nonreciprocal effective interactions in an active-passive mixture through exact hydrodynamic analysis
• Block renormalization study on the nonequilibrium chiral Ising model
• Gaussian theory for spatially distributed self-propelled particles
• Ordering kinetics in the active Ising model
• Hydrodynamics of Active Lévy Matter
• Three-state active lattice gas: a discrete Vicseklike model with excluded volume
• Mpemba effect on non-equilibrium active Markov chains
• Collective Motion in Active Materials: Model Experiments
• Transient phases in the Vicsek model of flocking
• Ordering kinetics in q-state random-bond clock model: Role of Vortices and Interfaces
• Fluctuating Hydrodynamics Describes Transport in Cellular Aggregates
• Stochastic Thermodynamics of Non-reciprocally Interacting Particles and Fields
• Active Lévy Matter: Anomalous Diffusion, Hydrodynamics and Linear Stability
• Dry, aligning, dilute, active matter: A synthetic and self-contained overview
• Stability of discrete-symmetry flocks: sandwich state, traveling domains and motility-induced pinning
• Jamming of active particles in narrow pores: Implications for ratchet effect and diffusion coefficient
• Reduced density fluctuations via anti-aligning in active matter
• A Field-Theoretic Model for Chemotaxis in Run and Tumble Particles
• Bubble formation in active binary mixture model
• The effect of self-induced Marangoni flow on polar-nematic waves in active-matter systems
• Polar flocks with discretized directions: the active clock model approaching the Vicsek model
• Thermodynamic efficiency of self-organisation in nonequilibrium steady states
• Field-controlled interfacial transport and pinning in an active spin system
• New universality classes govern the critical and multicritical behavior of an active Ising model
• Defect-Mediated Aggregation and Motility-Induced Phase Separation in Self-Propelled Lattice-Gas Active XY Model
• Suppression of discontinuous phase transitions by particle diffusion
• Emergent centrality in rank-based supplanting process