Effective interactions in active Brownian suspensions.

Active colloids exhibit persistent motion, which can lead to motility-induced phase separation (MIPS). However, there currently exists no microscopic theory to account for this phenomenon. We report a first-principles theory, free of fit parameters, for active spherical colloids, which shows explicitly how an effective many-body interaction potential is generated by activity and how this can rationalize MIPS. For a passively repulsive system the theory predicts phase separation and pair correlations in quantitative agreement with simulation. For an attractive system the theory shows that phase separation becomes suppressed by moderate activity, consistent with recent experiments and simulations, and suggests a mechanism for reentrant cluster formation at high activity.

• Publication year

  2015

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2015-04-01

• Fields of study

  Medicine, Physics, Chemistry

• Identifiers
  DOI 10.1103/PhysRevE.91.042310arXiv 1504.00192PMID 25974494
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Theory Of Simple Liquids

  2016cited by this paper
• Clustering and heterogeneous dynamics in a kinetic Monte Carlo model of self-propelled hard disks.

  2014cited by this paper
• Nonequilibrium equation of state in suspensions of active colloids

  2014cited by this paper
• Soft Matter

  2014cited by this paper
• Swim pressure: stress generation in active matter.

  2014cited by this paper
• Motility-Induced Phase Separation

  2014cited by this paper
• Phase behaviour of active Brownian particles: the role of dimensionality.

  2013cited by this paper
• Microscopic theory for the phase separation of self-propelled repulsive disks

  2013cited by this paper
• Living Crystals of Light-Activated Colloidal Surfers

  2013cited by this paper
• Reentrant phase behavior in active colloids with attraction.

  2013cited by this paper
• Continuum theory of phase separation kinetics for active Brownian particles.

  2013cited by this paper
• Pushing the glass transition towards random close packing using self-propelled hard spheres

  2013cited by this paper
• Non-equilibrium glass transitions in driven and active matter

  2013cited by this paper
• Cooperative motion of active Brownian spheres in three-dimensional dense suspensions

  2013cited by this paper
• Active Brownian particles in two-dimensional traps

  2012cited by this paper
• Athermal phase separation of self-propelled particles with no alignment.

  2012cited by this paper
• Active Brownian particles

  2012cited by this paper
• A “Gaussian” for diffusion on the sphere

  2012cited by this paper
• Diffusive transport without detailed balance in motile bacteria: does microbiology need statistical physics?

  2012cited by this paper
• Phase separation and rotor self-assembly in active particle suspensions

  2012cited by this paper
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation

  2012cited by this paper
• Electron – molecule collision calculations using the R-matrix method

  2010cited by this paper
• Sedimentation and effective temperature of active colloidal suspensions.

  2010cited by this paper
• Nature Communications

  2010cited by this paper
• The Mechanics and Statistics of Active Matter

  2010cited by this paper
• Annual review of condensed matter physics

  2010influential reference
• Structural precursor to freezing: an integral equation study.

  2008cited by this paper
• Various driving mechanisms for generating motion of colloidal particles

  2008cited by this paper
• Statistical mechanics of interacting run-and-tumble bacteria.

  2008cited by this paper
• Self-motile colloidal particles: from directed propulsion to random walk.

  2007cited by this paper
• Phase behavior of a fluid with competing attractive and repulsive interactions.

  2007cited by this paper
• Solution of the Ornstein–Zernike Equation in the Critical Region

  2006cited by this paper
• Microscopic artificial swimmers

  2005cited by this paper
• Collective Motion

  1999cited by this paper
• Microphase separation versus the vapor-liquid transition in systems of spherical particles

  1999cited by this paper
• Remarks on non-Markov processes

  1998cited by this paper
• Proceedings of the National Academy of Sciences, USA.

  1996cited by this paper
• Computer simulation of liquids

  1989cited by this paper
• The projection approach to the Fokker-Planck equation. I. Colored Gaussian noise

  1988cited by this paper
• Functional-calculus approach to stochastic differential equations.

  1986cited by this paper
• Uniform convergence to an effective Fokker-Planck equation for weakly colored noise.

  1986cited by this paper
• Handbook of Stochastic Methods

  1983cited by this paper
• The mean spherical approximation and effective pair potentials in liquids

  1980cited by this paper
• Stochastic differential equations

  1976cited by this paper
• What is "liquid"? Understanding the states of matter

  1976cited by this paper
• A self‐consistent theory of rotational diffusion

  1975cited by this paper
• Role of Repulsive Forces in Determining the Equilibrium Structure of Simple Liquids

  1971cited by this paper
• Theory of Dielectric Relaxation in Polar Liquids

  1970cited by this paper
• Mathematical Methods for Physicists

  1967cited by this paper
• A theory of dielectric relaxation in polar liquids

  1967cited by this paper

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  2026cites this paper
• Effective interactions in active Brownian particles.

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• Activity-driven clustering and many-body steady state of jamming run-and-tumble particles

  2025cites this paper
• A Marangoni swimmer pushing a particle raft under 1D confinement.

  2025cites this paper
• Singular density correlations in chiral active fluids in three dimensions.

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• Statistical properties of microphase and bubbly phase-separated active fluids.

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• Flocking without Alignment Interactions in Attractive Active Brownian Particles.

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  2023cites this paper
• Dynamics of active particles with translational and rotational inertia

  2023cites this paper
• Jamming pair of general run-and-tumble particles: exact results, symmetries and steady-state universality classes

  2023cites this paper
• Chiral active matter in external potentials.

  2023cites this paper
• Mode-coupling theory for mixtures of athermal self-propelled particles.

  2023cites this paper
• Motility induced phase separation of deformable cells.

  2023cites this paper
• Most probable paths for active Ornstein-Uhlenbeck particles.

  2023cites this paper
• Pair-distribution function of active Brownian spheres in three spatial dimensions: simulation results and analytical representation.

  2023cites this paper
• Jamming pair of general run-and-tumble particles: Exact results and universality classes

  2023cites this paper
• Active-matter isomorphs in the size-polydisperse Ornstein–Uhlenbeck Lennard–Jones model

  2023cites this paper
• Run-and-tumble motion in a linear ratchet potential: Analytic solution, power extraction, and first-passage properties.

  2023cites this paper
• Effective temperature for an intermittent bistable potential.

  2023cites this paper
• Work Fluctuations for a Harmonically Confined Active Ornstein-Uhlenbeck Particle.

  2023cites this paper
• Motility-induced phase separation is reentrant

  2023cites this paper
• Generalized geometric criteria for the absence of effective many-body interactions in the Asakura–Oosawa model

  2023cites this paper
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  2023cites this paper
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  2023cites this paper
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  2023cites this paper
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  2023cites this paper
• Entropy production and collective excitations of crystals out of equilibrium: The concept of entropons.

  2023cites this paper
• Active colloidal molecules in activity gradients.

  2022cites this paper
• Microscopic field theory for structure formation in systems of self-propelled particles with generic torques.

  2022cites this paper
• Force density functional theory in- and out-of-equilibrium.

  2022cites this paper
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  2022cites this paper
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  2022cites this paper
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  2022cites this paper
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  2021cites this paper
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  2021cites this paper
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  2021cites this paper
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  2021cites this paper
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  2021cites this paper
• Correlated escape of active particles across a potential barrier.

  2021cites this paper
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  2021cites this paper
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• Noether’s theorem in statistical mechanics

  2021cites this paper
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  2021cites this paper
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  2021cites this paper
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  2021cites this paper
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  2021cites this paper
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