Exact Hydrodynamic Description of Active Lattice Gases

Abstract

We introduce a class of lattice gas models of active matter systems whose hydrodynamic description can be derived exactly. We illustrate our approach by considering two systems exhibiting two of the most studied collective behaviours in active matter: the motility-induced phase separation and the transition to collective motion. In both cases, we derive coupled partial differential equation describing the dynamics of the local density and polarization fields and show how they quantitatively predict the emerging properties of the macroscopic lattice gases.

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Cited by in corpus (83)

• Computational models for active matter
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• Lamellar to micellar phases and beyond: when tactic active systems admit free-energy functionals
• Exact fluctuating hydrodynamics of active lattice gases -- Typical fluctuations
• Disordered boundaries destroy bulk phase separation in scalar active matter
• Small Obstacle in a Large Polar Flock
• Hard core run and tumble particles on a one dimensional lattice
• Optimising the relaxation route with optimal control
• An Introduction to Motility-Induced Phase Separation
• Activity-induced phase transition in a quantum many-body system
• Inclusions, Boundaries and Disorder in Scalar Active Matter
• Rheology of active fluids
• Arrested States in Persistent Active Matter: Gelation without Attraction
• Capillary action in scalar active matter
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• Speed-Dispersion Induced Alignment : a 1D model inspired by swimming droplets experiments
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• Hohenberg-Mermin-Wagner type theorems for equilibrium models of flocking
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• Phase Coexistence in Nonreciprocal Quorum-Sensing Active Matter
• Tricritical behavior in dynamical phase transitions
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• Generalized disorder averages and current fluctuations in run and tumble particles
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• Jamming of multiple persistent random walkers in arbitrary spatial dimension
• Optimal control of uniformly heated granular fluids in linear response
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• Universal limiting behaviour of reaction-diffusion systems with conservation laws
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• On Interactions for Large Scale Interacting Systems
• On the hydrodynamics of active matter models on a lattice