Mean-field theory for the structure of strongly interacting active liquids
arXiv:2208.03717 · doi:10.1063/5.0096710
Abstract
Active systems, which are driven out of equilibrium by local non-conservative forces, exhibit unique behaviors and structures with potential utility for the design of novel materials. An important and difficult challenge along the path towards this goal is to precisely predict how the structure of active systems is modified as their driving forces push them out of equilibrium. Here, we use tools from liquid-state theories to approach this challenge for a classic minimal active matter model. First, we construct a nonequilibrium mean-field framework which can predict the structure of systems of weakly interacting particles. Second, motivated by equilibrium solvation theories, we modify this theory to extend it with surprisingly high accuracy to systems of strongly interacting particles, distinguishing it from most existing similarly tractable approaches. Our results provide insight into spatial organization in strongly interacting out-of-equilibrium systems.
arXiv comment7 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:2012.10441
References in corpus (29)
- Active Particles in Complex and Crowded Environments
- Motility-Induced Phase Separation
- Physics of Microswimmers - Single Particle Motion and Collective Behavior
- How far from equilibrium is active matter?
- The 2019 Motile Active Matter Roadmap
- Langevin Equation for the Density of a System of Interacting Langevin Processes
- Pressure and Phase Equilibria in Interacting Active Brownian Spheres
- Flocking at a distance in active granular matter
- A self-propelled particle in an external potential: is there an effective temperature?
- The statistical physics of active matter: from self-catalytic colloids to living cells
- Multidimensional Stationary Probability Distribution for Interacting Active Particles
- Topological waves in fluids with odd viscosity
- Negative interfacial tension in phase-separated active suspensions
- Spatiotemporal order and emergent edge currents in active spinner materials
- Glassy dynamics of athermal self-propelled particles: Computer simulations and a nonequilibrium microscopic theory
- Design principles for non-equilibrium self-assembly
- Generalized Langevin equations for a driven tracer in dense soft colloids: construction and applications
- Applicability of Effective Pair Potentials for Active Brownian Particles
- Effective equilibrium states in the colored-noise model for active matter I. Pairwise forces in the Fox and unified colored noise approximations
- How dissipation constrains fluctuations in nonequilibrium liquids: Diffusion, structure and biased interactions
- A perturbative path integral study of active and passive tracer diffusion in fluctuating fields
- Dissipation controls transport and phase transitions in active fluids: Mobility, diffusion and biased ensembles
- Effective equilibrium states in the colored-noise model for active matter II. A unified framework for phase equilibria, structure and mechanical properties
- Surface Tensions between Active Fluids and Solid Interfaces: bare vs dressed
- Mode-coupling theory for the steady-state dynamics of active Brownian particles
- Thermal Casimir drag in fluctuating classical fields
- Lack of an equation of state for the nonequilibrium chemical potential of gases of active particles in contact
- The "isothermal" compressibility of active matter
- Understanding the approximations of mode-coupling theory for sheared steady states of colloids