Effective equilibrium states in the colored-noise model for active matter I. Pairwise forces in the Fox and unified colored noise approximations
arXiv:1701.09032 · doi:10.1088/1742-5468/aa8c1f
Abstract
The equations of motion of active systems can be modeled in terms of Ornstein-Uhlenbeck processes (OUPs) with appropriate correlators. For further theoretical studies, these should be approximated to yield a Markovian picture for the dynamics and a simplified steady-state condition. We perform a comparative study of the Unified Colored Noise Approximation (UCNA) and the approximation scheme by Fox recently employed within this context. We review the approximations necessary to define effective interaction potentials in the low-density limit and study the conditions for which these represent the behavior observed in two-body simulations for the OUPs model and Active Brownian particles. The demonstrated limitations of the theory for potentials with a negative slope or curvature can be qualitatively corrected by a new empirical modification. In general, we find that in the presence of translational white noise the Fox approach is more accurate. Finally, we examine an alternative way to define a force-balance condition in the limit of small activity.
References in corpus (14)
- Motility-Induced Phase Separation
- Statistical Mechanics of Interacting Run-and-Tumble Bacteria
- How far from equilibrium is active matter?
- Ciliary contact interactions dominate surface scattering of swimming eukaryotes
- A self-propelled particle in an external potential: is there an effective temperature?
- Effective Interactions in Active Brownian Suspensions
- Multidimensional Stationary Probability Distribution for Interacting Active Particles
- Tunable long range forces mediated by self-propelled colloidal hard spheres
- Motility-induced phase separation and coarsening in active matter
- Escape rate of active particles in the effective equilibrium approach
- Applicability of Effective Pair Potentials for Active Brownian Particles
- Effective potential method for active particles
- Green-Kubo approach to the average swim speed in active Brownian systems
- A moment approach to non-Gaussian colored noises
Cited by in corpus (42)
- Statistical Mechanics of Active Ornstein Uhlenbeck Particles
- Classical dynamical density functional theory: from fundamentals to applications
- Perspective: Nonequilibrium glassy dynamics in dense systems of active particles
- Time-(ir)reversibility in active matter: from micro to macro
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- Fluctuating motion in an active environment
- Active Ornstein-Uhlenbeck model for self-propelled particles with inertia
- Linear response theory and Green-Kubo relations for active matter
- The Parental Active Model: a unifying stochastic description of self-propulsion
- How dissipation constrains fluctuations in nonequilibrium liquids: Diffusion, structure and biased interactions
- Role of rotational inertia for collective phenomena in active matter
- Active phase separation: new phenomenology from non-equilibrium physics
- Lamellar to micellar phases and beyond: when tactic active systems admit free-energy functionals
- Dynamics of active particles with space-dependent swim velocity
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- Effective equilibrium states in mixtures of active particles driven by colored noise
- Thermodynamics and statistical mechanics of chemically-powered synthetic nanomotors
- Collective effects in confined Active Brownian Particles
- Pressure, surface tension and curvature in active systems: A touch of equilibrium
- Non-Gaussian noise without memory in active matter
- Inclusions, Boundaries and Disorder in Scalar Active Matter
- Tuning Nonequilibrium Phase Transitions with Inertia
- Correlations in multithermostat Brownian systems with Lorentz force
- Self-propelled particle in a nonconvex external potential: Persistent limit in one dimension
- Isotropic-nematic transition of self-propelled rods in three dimensions
- Inertial active matter with Coulomb friction
- Generalized Fluctuation-Dissipation relations holding in non-equilibrium dynamics
- Wetting dynamics by mixtures of fast and slow self-propelled particles
- Effective Entropy Production and Thermodynamic Uncertainty Relation of Active Brownian Particles
- Escape rate of transiently active Brownian particle in one dimension
- Active noise-driven particles under space-dependent friction in one dimension
- Fluctuating hydrodynamics of active particles interacting via taxis and quorum sensing: static and dynamics
- Inhomogeneous entropy production in active crystals with point imperfections
- From predicting to learning dissipation from pair correlations of active liquids
- The Many Faces of Fluctuation-Dissipation Relations Out of Equilibrium
- Mean-field theory for the structure of strongly interacting active liquids
- Confined active particles with spatially dependent Lorentz force: an odd twist to the "best Fokker-Planck approximation"
- Correlated escape of active particles across a potential barrier
- Excess and loss of entropy production for different levels of coarse-graining
- Optimizing Energetic cost of Uncertainty in a Driven System With and Without Feedback