Exact fluctuating hydrodynamics of active lattice gases -- Typical fluctuations

Abstract

We extend recent results on the exact hydrodynamics of a system of diffusive active particles displaying a motility-induced phase separation to account for typical fluctuations of the dynamical fields. By calculating correlation functions exactly in the homogeneous phase, we find that two macroscopic length scales develop in the system. The first is related to the diffusive length of the particles and the other to the collective behavior of the particles. The latter diverges as the critical point is approached. Our results show that the critical behavior of the model in one dimension belongs to the universality class of a mean-field Ising model, both for static and dynamic properties, when the thermodynamic limit is taken in a specified manner. The results are compared to the critical behavior exhibited by the ABC model. In particular, we find that in contrast to the ABC model the density large deviation function, at its Gaussian approximation, does not contain algebraically decaying interactions but is of a finite, macroscopic, extent which is dictated by the diverging correlation length.

arXiv comment17 pages, 6 figures

References in corpus (59)

• The Mechanics and Statistics of Active Matter
• Motility-Induced Phase Separation
• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• Athermal Phase Separation of Self-Propelled Particles with no Alignment
• Active Brownian Particles. From Individual to Collective Stochastic Dynamics
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Macroscopic fluctuation theory
• How far from equilibrium is active matter?
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• Pressure is not a state function for generic active fluids
• A continuum theory of phase separation kinetics for active Brownian particles
• Scalar ${\varphi }^4$ field theory for active-particle phase separation
• Active matter
• Active Brownian Particles and Run-and-Tumble Particles: a Comparative Study
• Towards a 'Thermodynamics' of Active Matter
• Effective temperature of active matter
• Generalized Thermodynamics of Phase Equilibria in Scalar Active Matter
• Entropy production in field theories without time reversal symmetry: Quantifying the non-equilibrium character of active matter
• Stochastic interacting particle systems out of equilibrium
• Cluster phases and bubbly phase separation in active fluids: Reversal of the Ostwald process
• Phase Separation in One-Dimensional Driven Diffusive Systems
• Generalized thermodynamics of Motility-Induced Phase Separation: Phase equilibria, Laplace pressure, and change of ensembles
• Criterion for phase separation in one-dimensional driven systems
• Lattice Models of Nonequilibrium Bacterial Dynamics
• Hyperuniformity and phase separation in biased ensembles of trajectories for diffusive systems
• Simple and faithful nonlinear field equations for aligning self-propelled rods
• Mesoscopic theory for fluctuating active nematics
• Mapping out of equilibrium into equilibrium in one-dimensional transport models
• Critical behavior of active Brownian particles
• Run-and-tumble in a crowded environment: persistent exclusion process for swimmers
• Jamming and Attraction of Interacting Run-and-Tumble Random Walkers
• Phase Separation and Coarsening in One-Dimensional Driven Diffusive Systems: Local Dynaimcs Leading to Long-Range Hamiltonians
• Exact Hydrodynamic Description of Active Lattice Gases
• Fluctuations of Current in Non-Stationary Diffusive Lattice Gases
• Are Steadily Moving Crystals Unstable?
• Dynamical symmetry breaking and phase transitions in driven diffusive systems
• A classical nucleation theory description of active colloid assembly
• Microscopic versus macroscopic approaches to non-equilibrium systems
• Freezing a Flock: Motility-Induced Phase Separation in Polar Active Liquids
• Chemical potential in active systems: predicting phase equilibrium from bulk equations of state?
• Critical motility-induced phase separation belongs to the Ising universality class
• Spontaneous Breaking of Translational Invariance and Spatial Condensation in Stationary States on a Ring: I. The Neutral System
• Dynamics of interacting particle systems: stochastic process and field theory
• Phase Transition in the ABC Model
• Novel phase-separation transition in one-dimensional driven models
• Phase separation and large deviations of lattice active matter
• Universality class of the motility-induced critical point in large scale off-lattice simulations of active particles
• Inactive dynamical phase of a symmetric exclusion process on a ring
• Singularities in large deviation functions
• Strong Phase Separation in a Model of Sedimenting Lattices
• Long range correlations and phase transition in non-equilibrium diffusive systems
• From bulk to microphase separation in scalar active matter: A perturbative renormalization group analysis
• Current large deviations in a driven dissipative model
• Exact spectral solution of two interacting run-and-tumble particles on a ring lattice
• Comparison between Smoluchowski and Boltzmann approaches for self-propelled rods
• Le Chatelier principle for out of equilibrium and boundary driven systems : application to dynamical phase transitions
• Phase fluctuations in the ABC model
• Occupation time statistics of a gas of interacting diffusing particles

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• Exact position distribution of a harmonically-confined run-and-tumble particle in two dimensions
• Nonequilibirum steady state for harmonically-confined active particles
• Inclusions, Boundaries and Disorder in Scalar Active Matter
• Entropy production and its large deviations in an active lattice gas
• Thermodynamically consistent flocking: From discontinuous to continuous transitions
• Tricritical behavior in dynamical phase transitions
• Current fluctuations in an interacting active lattice gas
• Generalized disorder averages and current fluctuations in run and tumble particles
• Nonequilibrium steady state of trapped active particles
• Active Random Walks in One and Two Dimensions
• Time-dependent properties of run-and-tumble particles. II.: Current fluctuations
• Confined run and tumble particles with non-Markovian tumbling statistics
• Large deviations in statistics of the local time and occupation time for a run and tumble particle
• Time-dependent properties of run-and-tumble particles: Density relaxation
• Quantifying dissipation in flocking dynamics: When tracking internal states matters
• Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries: A Hydrodynamic Perspective
• Interfacial and density fluctuations in a lattice model of motility-induced phase separation
• Entropy production rate in thermodynamically consistent flocks
• Hydrodynamics of a hard-core active lattice gas
• Effect of initial conditions on current fluctuations in non-interacting active particles
• Dynamical patterns and nonreciprocal effective interactions in an active-passive mixture through exact hydrodynamic analysis
• Non-Stationary Critical Phenomena: Expanding The Critical Point
• Fluctuating Hydrodynamics Describes Transport in Cellular Aggregates
• A Dean-Kawasaki equation for reaction diffusion systems driven by Poisson noise
• Exact large-scale correlations in diffusive systems with general interactions: explicit characterisation without the Dean--Kawasaki equation
• On perturbation around closed exclusion processes
• Long-range influence of a pump on a critical fluid
• Curvature-Driven Density and Fluctuations in Interacting AOUPs under Confinement