Active matter under control: Insights from response theory

Abstract

Active constituents burn fuel to sustain individual motion, giving rise to collective effects that are not seen in systems at thermal equilibrium, such as phase separation with purely repulsive interactions. There is a great potential in harnessing the striking phenomenology of active matter to build novel controllable and responsive materials that surpass passive ones. Yet, we currently lack a systematic roadmap to predict the protocols driving active systems between different states in a way that is thermodynamically optimal. Equilibrium thermodynamics is an inadequate foundation to this end, due to the dissipation rate arising from the constant fuel consumption in active matter. Here, we derive and implement a versatile framework for the thermodynamic control of active matter. Combining recent developments in stochastic thermodynamics and nonequilibrium response theory, our approach shows how to find the optimal control for either continuous- or discrete-state active systems operating arbitrarily far from equilibrium. Our results open the door to designing novel active materials which are not only built to stabilize specific nonequilibrium collective states, but are also optimized to switch between different states at minimum dissipation.

References in corpus (73)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Self-motile colloidal particles: from directed propulsion to random walk
• Interaction Ruling Animal Collective Behaviour Depends on Topological rather than Metric Distance: Evidence from a Field Study
• Motility-Induced Phase Separation
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Fluctuation-Dissipation: Response Theory in Statistical Physics
• How far from equilibrium is active matter?
• The 2019 Motile Active Matter Roadmap
• Measuring thermodynamic length
• Emergent behavior in active colloids
• Optimal finite-time processes in stochastic thermodynamics
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Thermodynamic metrics and optimal paths
• Fluctuations and response of nonequilibrium states
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• Active Turbulence
• Statistical Mechanics of Active Ornstein Uhlenbeck Particles
• The statistical physics of active matter: from self-catalytic colloids to living cells
• Irreversibility in active matter systems: Fluctuation theorem and mutual information
• Patterning active materials with addressable soft interfaces
• Entropy production in field theories without time reversal symmetry: Quantifying the non-equilibrium character of active matter
• Irreversibility and biased ensembles in active matter: Insights from stochastic thermodynamics
• Optimal protocols for minimal work processes in underdamped stochastic thermodynamics
• Entropy production of active particles and for particles in active baths
• The geometry of thermodynamic control
• Time-(ir)reversibility in active matter: from micro to macro
• Stochastic thermodynamics for active matter
• Frenesy: time-symmetric dynamical activity in nonequilibria
• Light-switchable propulsion of active particles with reversible interactions
• Active mechanics reveal molecular-scale force kinetics in living oocytes
• Optimal driving of isothermal processes close to equilibrium
• Optimal steering of a smart active particle
• A geometric approach to optimal nonequilibrium control: Minimizing dissipation in nanomagnetic spin systems
• Nonlinear response and fluctuation dissipation relations
• Collective power: Minimal model for thermodynamics of nonequilibrium phase transitions
• Dynamic Riemannian Geometry of the Ising Model
• Response theory: a trajectory-based approach
• Thermodynamic control -- an old paradigm with new applications
• Optimal Control of Active Nematics
• Optimal Control in Stochastic Thermodynamics
• Active engines: Thermodynamics moves forward
• Hydrodynamics can Determine the Optimal Route for Microswimmer Navigation
• Linear response theory and Green-Kubo relations for active matter
• How dissipation constrains fluctuations in nonequilibrium liquids: Diffusion, structure and biased interactions
• Dissipation controls transport and phase transitions in active fluids: Mobility, diffusion and biased ensembles
• Frenetic aspects of second order response
• Thermodynamics of active field theories: Energetic cost of coupling to reservoirs
• Learning to Control Active Matter
• A geometric bound on the efficiency of irreversible thermodynamic cycles
• Active Brownian particles driven by constant affinity
• Optimal transport and control of active drops
• Optimal control of transitions between nonequilibrium steady states
• Nonlinear susceptibilities and the measurement of a cooperative length
• Marginal speed confinement resolves the conflict between correlation and control in natural flocks of birds
• Minimum Dissipation Theorem for Microswimmers
• Thermodynamics and statistical mechanics of chemically-powered synthetic nanomotors
• Time-reversal symmetry violations and entropy production in field theories of polar active matter
• Minimally dissipative information erasure in a quantum dot via thermodynamic length
• Nonequilibrium Response and Frenesy
• Skewed Thermodynamic Geometry and Optimal Free Energy Estimation
• Limited-control optimal protocols arbitrarily far from equilibrium
• Energy Dissipation Bounds for Autonomous Thermodynamic Cycles
• Absolute negative mobility of an active tracer in a crowded environment
• Optimal swimmer can be puller, pusher, or neutral depending on the shape
• Optimal discrete control: minimizing dissipation in discretely driven nonequilibrium systems
• Optimal navigation strategy of active Brownian particles in target-search problems
• Active matter, microreversibility, and thermodynamics
• Optimal navigation strategies for microswimmers on curved manifolds
• Efficient control protocols for an active Ornstein-Uhlenbeck particle
• Efficiency of isothermal active matter engines: Strong driving beats weak driving
• Measurement of second-order response without perturbation
• Extrapolation to nonequilibrium from coarse grained response theory
• A Thermodynamic Non-Linear Response Relation

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• Thermodynamics of active matter: Tracking dissipation across scales
• Beyond Linear Response: Equivalence between Thermodynamic Geometry and Optimal Transport
• Optimal Control of Underdamped Systems: An Analytic Approach
• Active particles in moving traps: minimum work protocols and information efficiency of work extraction
• Quantifying dissipation in flocking dynamics: When tracking internal states matters
• Closed-loop control of active nematic flows
• Minimal work protocols for inertial particles in non-harmonic traps
• Optimal control of levitated nanoparticles through finite-stiffness confinement
• Intrinsic Langevin dynamics of rigid inclusions on curved surfaces
• Irreversibility in Non-reciprocal Chaotic Systems
• Confined active particles with spatially dependent Lorentz force: an odd twist to the "best Fokker-Planck approximation"
• Thermodynamic nature of irreversibility in active matter
• Species interconversion of deformable particles yields transient phase separation
• Mutual Linearity is a Generic Property of Steady-State Markov Networks
• Irreversibility in scalar active turbulence: The role of topological defects
• Active energy harvesting and work transduction by hair-cell bundles in bullfrog's inner ear
• Minimal dissipation with viscoelastic baths in weakly driven processes
• Paramagnetism in spherically confined charged active matter
• Insertion space in repulsive active matter
• Control protocols for harmonically confined run-and-tumble particles
• Field-controlled interfacial transport and pinning in an active spin system