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What exactly is 'active matter'?

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arxiv 2507.21621 v1 pith:BBVVAJK6 submitted 2025-07-29 cond-mat.soft cond-mat.stat-mechphysics.bio-phphysics.chem-ph

What exactly is 'active matter'?

classification cond-mat.soft cond-mat.stat-mechphysics.bio-phphysics.chem-ph
keywords activematterparticlessystemswhatdiscussdefinitiondriven
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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As the study of active matter has developed into one of the most rapidly growing subfields of condensed matter physics, more and more kinds of physical systems have been included in this framework. While the word 'active' is often thought of as referring to self-propelled particles, it is also applied to a large variety of other systems such as non-polar active nematics or certain particles with non-reciprocal interactions. Developing novel forms of active matter, as attempted, e.g., in the framework of quantum active matter, requires a clear idea of what active matter is. Here, we critically discuss how the understanding of active matter has changed over time, what precisely a definition of 'active matter' can look like, and to what extent it is (still) possible to define active matter in a way that covers all systems that are commonly understood as active matter while distinguishing them from other driven systems. Moreover, we discuss the definition of an 'active field theory', where 'active' is used as an attribute of a theoretical model rather than of a physical system. We show that the usage of the term 'active' requires agreement on a coarse-grained viewpoint. We discuss the meaning of 'active' both in general terms and via the specific examples of chemically driven particles, ultrasound-driven particles, active nematics, particles with non-reciprocal interactions, intracellular phase separation, and quantum active matter.

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Cited by 20 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A Rayleigh criterion for mechanical instability: inducing activity by chemo-mechanical coupling

    cond-mat.stat-mech 2026-05 unverdicted novelty 7.0

    Rayleigh-like criteria based on entropic-frenetic phase relations are derived for the onset of rotational activity in chemo-mechanically coupled systems.

  2. Anomalous Mean-Squared Displacement in Quantum Active Matter from a Wigner Phase-Space Framework

    cond-mat.soft 2026-04 unverdicted novelty 7.0

    Quantum active matter shows mean-squared displacement scaling as t^6 or t^7 derived analytically from a Wigner phase-space master equation.

  3. Geometry-Induced Transport of Self-Aligning Chiral Bristlebots

    cond-mat.soft 2026-04 unverdicted novelty 7.0

    An experimental platform of self-aligning chiral bristlebots demonstrates geometric rectification of transport and spontaneous switching between translational and rotational states in linked assemblies.

  4. The Countoscope for self-propelled particles

    cond-mat.soft 2026-04 conditional novelty 7.0

    The Countoscope quantifies self-propulsion in active particles by deriving number fluctuation correlations that exhibit diffusive, advective, and enhanced diffusive regimes.

  5. Transport Properties of Active Particles Moving on Adjustable Networks

    cond-mat.soft 2026-02 conditional novelty 7.0

    Temporary trail-induced bond closures cause active-particle diffusivity to increase monotonically with persistence in the absence of steric interactions, and shift the optimal persistence time upward with healing time...

  6. Fluid flow and spatiotemporal chaos in chemically active emulsions

    physics.flu-dyn 2025-09 conditional novelty 7.0

    Chemically active emulsions, modeled by Stokes-Cahn-Hilliard equations with reactions, can exhibit spatiotemporal chaos and their amplitude equations are identical to Rayleigh-Benard convection with mean flow.

  7. A Rayleigh criterion for mechanical instability: inducing activity by chemo-mechanical coupling

    cond-mat.stat-mech 2026-05 unverdicted novelty 6.0

    Rayleigh-like phase criteria between entropic and frenetic contributions predict when chemical driving of a slow Newtonian probe yields sustained active or rotational motion.

  8. Emergent flocking dynamics in chemorepulsive active colloids: interplay of disorder and noise

    cond-mat.soft 2026-05 unverdicted novelty 6.0

    In chemorepulsive active colloids with quenched disorder and angular noise, noise-driven phase transitions depend on density unlike pinning transitions, and short-range interactions yield density bands and bimodal ord...

  9. Anomalous Mean-Squared Displacement in Quantum Active Matter from a Wigner Phase-Space Framework

    cond-mat.soft 2026-04 conditional novelty 6.0

    Hybrid Wigner analysis of quantum active matter produces analytical MSD with t^6 (and under specific ICs t^7) scaling for long persistence and large active noise, plus explicit onset times.

  10. Inverse engineering of cooling protocols: from normal behavior to Mpemba effects

    cond-mat.stat-mech 2026-04 conditional novelty 6.0

    Analytical expressions are derived for external temperature protocols that produce any prescribed internal temperature trajectory using Newtonian cooling and microscopic models, including cases with Mpemba effects.

  11. Riding the Wave: Polymers in Time-dependent Nonequilibrium Baths

    cond-mat.soft 2026-03 accept novelty 6.0

    Polymer length and topology determine whether an active polymer rides a traveling activity wave forward or drifts backward against it.

  12. Active Brownian particles in power-law viscoelastic media

    cond-mat.soft 2025-12 unverdicted novelty 6.0

    An active Brownian particle in a power-law viscoelastic medium exhibits a stretched superdiffusive persistence phase (MSD ~ t^{2-alpha_R}) and a modified persistence-diffusion relation.

  13. Hydrodynamic Phase Separation and Morphological Evolution in Chiral Active-Passive Mixtures

    cond-mat.soft 2026-06 unverdicted novelty 5.0

    Simulations of chiral active spinners and passive colloids with Ewald-summed hydrodynamics identify parameter-dependent phase separation into passive vortices and active-passive bands.

  14. Phase-dependent role of dissipation across the Aubry-Andr\'e-Harper transition

    quant-ph 2026-05 unverdicted novelty 5.0

    Bath memory reshapes transport patterns in the extended phase of the AAH transition but mainly renormalizes timescales in the localized phase.

  15. Geometry-Induced Transport of Self-Aligning Chiral Bristlebots

    cond-mat.soft 2026-04 conditional novelty 5.0

    Augmented bristlebots with self-aligning torque and chiral drift exhibit geometry-controlled edge currents and rectified transport via a nautilus-shaped ratchet.

  16. Optimal transport and control of an active particle near a plane wall

    cond-mat.soft 2026-03 conditional novelty 5.0

    Near a no-slip wall, the minimum-work optical-trap protocol for transporting an active particle away from the wall breaks time-reversal symmetry with the return protocol.

  17. Collective dynamics of macroscopic photoactive matter under alternating excitation patterns

    cond-mat.soft 2026-03 accept novelty 5.0

    Photoactive particles robustly accumulate in less-active regions under alternating light; responsiveness is controlled by cluster size and switching period, as captured by an extended kinetic model.

  18. Modeling dissipation in quantum active matter

    quant-ph 2025-11 conditional novelty 5.0

    Comparing three quantum master equations reveals a trade-off: the translated Lindblad dissipator keeps probabilities positive and follows the moving trap, while the Agarwal dissipator recovers classical active-particl...

  19. Various phases of active matter emerging from bacteria and their implications

    cond-mat.soft 2026-04 unverdicted novelty 2.0

    Bacterial populations exhibit active gas, liquid, glass, and liquid crystal phases that differ from equilibrium thermal counterparts, with implications for physics and biology.

  20. Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem

    cond-mat.stat-mech 2026-06 unverdicted

    Review summarizing theoretical and computational progress on 2D melting in passive systems and novel non-equilibrium phenomena in active matter that deviate from the HMW theorem.