How dissipation constrains fluctuations in nonequilibrium liquids: Diffusion, structure and biased interactions

Abstract

The dynamics and structure of nonequilibrium liquids, driven by non-conservative forces which can be either external or internal, generically hold the signature of the net dissipation of energy in the thermostat. Yet, disentangling precisely how dissipation changes collective effects remains challenging in many-body systems due to the complex interplay between driving and particle interactions. First, we combine explicit coarse-graining and stochastic calculus to obtain simple relations between diffusion, density correlations and dissipation in nonequilibrium liquids. Based on these results, we consider large-deviation biased ensembles where trajectories mimic the effect of an external drive. The choice of the biasing function is informed by the connection between dissipation and structure derived in the first part. Using analytical and computational techniques, we show that biasing trajectories effectively renormalizes interactions in a controlled manner, thus providing intuition on how driving forces can lead to spatial organization and collective dynamics. Altogether, our results show how tuning dissipation provides a route to alter the structure and dynamics of liquids and soft materials.

arXiv comment21 pages, 7 figures

References in corpus (89)

• Novel type of phase transition in a system of self-driven particles
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Active Particles in Complex and Crowded Environments
• The large deviation approach to statistical mechanics
• Motility-Induced Phase Separation
• Spontaneous motion in hierarchically assembled active matter
• Athermal Phase Separation of Self-Propelled Particles with no Alignment
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• How far from equilibrium is active matter?
• Pressure is not a state function for generic active fluids
• Langevin Equation for the Density of a System of Interacting Langevin Processes
• Dynamic first-order phase transition in kinetically constrained models of glasses
• Equality connecting energy dissipation with violation of fluctuation-response relation
• Direct evaluation of large-deviation functions
• Orientational order of motile defects in active nematics
• Broken detailed balance and non-equilibrium dynamics in living systems
• Pattern formation in self-propelled particles with density-dependent motility
• Effective Interactions in Active Brownian Suspensions
• The statistical physics of active matter: from self-catalytic colloids to living cells
• Towards a 'Thermodynamics' of Active Matter
• Large deviations and ensembles of trajectories in stochastic models
• Multidimensional Stationary Probability Distribution for Interacting Active Particles
• Irreversibility in active matter systems: Fluctuation theorem and mutual information
• Emergent collective phenomena in a mixture of hard shapes through active rotation
• Nonequilibrium microcanonical and canonical ensembles and their equivalence
• Quantifying dissipation using fluctuating currents
• Generalized Thermodynamics of Phase Equilibria in Scalar Active Matter
• Entropy production in field theories without time reversal symmetry: Quantifying the non-equilibrium character of active matter
• Generalized thermodynamics of Motility-Induced Phase Separation: Phase equilibria, Laplace pressure, and change of ensembles
• Spatiotemporal order and emergent edge currents in active spinner materials
• Entropy production and fluctuation theorems for active matter
• Inferring dissipation from current fluctuations
• Hidden entropy production and work fluctuations in an ideal active gas
• Hyperuniformity and phase separation in biased ensembles of trajectories for diffusive systems
• Entropy production of active particles and for particles in active baths
• Inferring broken detailed balance in the absence of observable currents
• Towards a statistical mechanical theory of active fluids
• Probing rare physical trajectories with Lyapunov weighted dynamics
• Activity driven fluctuations in living cells
• Population dynamics method with a multi-canonical feedback control
• Effective interactions and large deviations in stochastic processes
• The role of correlations in the collective behaviour of microswimmer suspensions
• Multifarious Assembly Mixtures: Systems Allowing Retrieval of Diverse Stored Structures
• Rules for transition rates in nonequilibrium steady states
• Current large deviations for driven periodic diffusions
• Optimizing active work: Dynamical phase transitions, collective motion, and jamming
• Design principles for non-equilibrium self-assembly
• The Effective Temperature Concept Tested in an Active Colloid Mixture
• Active mechanics reveal molecular-scale force kinetics in living oocytes
• An expression for stationary distribution in nonequilibrium steady state
• Finite-Size Scaling of a First-Order Dynamical Phase Transition: Adaptive Population Dynamics and an Effective Model
• Test of the Additivity Principle for Current Fluctuations in a Model of Heat Conduction
• Large fluctuations and dynamic phase transition in a system of self-propelled particles
• Theory of amorphous ices
• Optimized Diffusion of Run-and-Tumble Particles in Crowded Environments
• Topologically protected modes in non-equilibrium stochastic systems
• Generalized Langevin equations for a driven tracer in dense soft colloids: construction and applications
• Transition probabilities and dynamic structure factor in the ASEP conditioned on strong flux
• Exact fluctuations of nonequilibrium steady states from approximate auxiliary dynamics
• Tracer diffusion in active suspensions
• Dynamical phase transition in drifted Brownian motion
• Applicability of Effective Pair Potentials for Active Brownian Particles
• Nonequilibrium dissipation in living oocytes
• Large-Deviation Functions for Nonlinear Functionals of a Gaussian Stationary Markov Process
• Effective equilibrium states in the colored-noise model for active matter I. Pairwise forces in the Fox and unified colored noise approximations
• Rare behavior of growth processes via umbrella sampling of trajectories
• Dynamic transition in an atomic glass former: a molecular dynamics evidence
• A perturbative path integral study of active and passive tracer diffusion in fluctuating fields
• Rigorous meaning of McLennan ensembles
• Effective driven dynamics for one-dimensional conditioned Langevin processes in the weak-noise limit
• Adaptive sampling of large deviations
• Large-deviation theory for a Brownian particle on a ring: a WKB approach
• Finite size scaling of the dynamical free-energy in a kinetically constrained model
• Nonlinear response and emerging nonequilibrium micro-structures for biased diffusion in confined crowding environments
• Large deviations of Lyapunov exponents
• Thermodynamics of emergent structure in active matter
• Extracting maximum power from active colloidal heat engines
• Large deviations of the dynamical activity in the East model: analysing structure in biased trajectories
• Noninvasive Measurement of Dissipation in Colloidal Systems
• Effective equilibrium states in the colored-noise model for active matter II. A unified framework for phase equilibria, structure and mechanical properties
• Nonequilibrium fluctuations and enhanced diffusion of a driven particle in a dense environment
• Dynamical phase transitions in supercooled liquids: interpreting measurements of dynamical activity
• Driven probe under harmonic confinement in a colloidal bath
• Efficient characterisation of large deviations using population dynamics
• A Gaussian theory for fluctuations in simple liquids
• On the nonequilibrium relation between potential and stationary distribution for driven diffusion
• Statistical forces from close--to--equilibrium media
• The difficulty of folding self-folding origami
• Mean-field microrheology of a very soft colloidal suspension: inertia induces shear-thickening

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• Statistical Mechanics of Active Ornstein Uhlenbeck Particles
• Mechanical Theory of Nonequilibrium Coexistence and Motility-Induced Phase Separation
• Thermodynamic cycles with active matter
• Entropy production fluctuations encode collective behavior in active matter
• Dissipation controls transport and phase transitions in active fluids: Mobility, diffusion and biased ensembles
• Thermodynamics of active field theories: Energetic cost of coupling to reservoirs
• Active matter under control: Insights from response theory
• Traveling Bands, Clouds, and Vortices of Chiral Active Matter
• Irreversibility in dynamical phases and transitions
• Collective motion in large deviations of active particles
• Learning nonequilibrium control forces to characterize dynamical phase transitions
• Reinforcement learning of rare diffusive dynamics
• Activity-induced phase transition in a quantum many-body system
• Tuning Nonequilibrium Phase Transitions with Inertia
• Thermodynamics of computations with absolute irreversibility, unidirectional transitions, and stochastic computation times
• Entropy production and its large deviations in an active lattice gas
• Probing the Theoretical and Computational Limits of Dissipative Design
• Work fluctuations of self-propelled particles in the phase separated state
• Entropy production and thermodynamic inference for stochastic microswimmers
• Efficiency of one-dimensional active transport conditioned on motility
• Tricritical behavior in dynamical phase transitions
• Effective Entropy Production and Thermodynamic Uncertainty Relation of Active Brownian Particles
• Thermodynamic Control of Activity Patterns in Cytoskeletal Networks
• Work Fluctuations in the Active Ornstein- Uhlenbeck Particle model
• Diffusion of a tracer in a dense mixture of soft particles connected to different thermostats
• Biased ensembles of pulsating active matter
• Dissipative self-assembly of patchy particles under nonequilibrium drive: a computational study
• Spectral signatures of symmetry-breaking dynamical phase transitions
• Kinetic temperature and pressure of an active Tonks gas
• Drive-specific adaptation in disordered mechanical networks of bistable springs
• From predicting to learning dissipation from pair correlations of active liquids
• Physics-informed graph neural networks enhance scalability of variational nonequilibrium optimal control
• Oscillating states of periodically driven anharmonic Langevin systems
• Entropy production rate in thermodynamically consistent flocks
• Mean-field theory for the structure of strongly interacting active liquids
• A strong non-equilibrium bound for sorting of crosslinkers on growing biopolymers
• Steering Active-Colloid Assembly by Biasing Dissipation
• Current statistics and depinning transition for a one-dimensional Langevin process in the weak-noise limit
• Mechanical analysis of a dynamical phase transition for particles in a channel
• Hydrodynamics of simple active liquids: the emergence of velocity correlations