Irreversibility in dynamical phases and transitions
arXiv:1911.10696 · doi:10.1038/s41467-020-20281-2
Abstract
Living and non-living active matter consumes energy at the microscopic scale to drive emergent, macroscopic behavior including traveling waves and coherent oscillations. Recent work has characterized non-equilibrium systems by their total energy dissipation, but little has been said about how dissipation manifests in distinct spatiotemporal patterns. We introduce a novel measure of irreversibility we term the entropy production factor (EPF) to quantify how time reversal symmetry is broken in field theories across scales. We use the EPF to characterize a dynamical phase transition in simulations of the Brusselator, a prototypical biochemically motivated non-linear oscillator. The EPF quantifies the distribution of irreversibility across spatiotemporal frequencies as the Brusselator transitions from local to global coherent oscillations, bounding the energetic cost to establish spatially synchronized biochemical oscillations.
arXiv comment21 pages main, 24 pages SM, 14 figures (5 main, 9 supplementary)
References in corpus (38)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- The Mechanics and Statistics of Active Matter
- Flocks, herds, and schools: A quantitative theory of flocking
- Thermodynamic uncertainty relation for biomolecular processes
- How far from equilibrium is active matter?
- Dissipation: The phase-space perspective
- Three detailed fluctuation theorems
- Stochastic thermodynamics under coarse-graining
- Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
- Estimating dissipation from single stationary trajectories
- Entropy production and the arrow of time
- Realistic boundary conditions for stochastic simulations of reaction-diffusion processes
- Quantifying dissipation using fluctuating currents
- Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states
- Entropy production in field theories without time reversal symmetry: Quantifying the non-equilibrium character of active matter
- A practical guide to stochastic simulations of reaction-diffusion processes
- Inferring dissipation from current fluctuations
- Fluctuation Theorem for Partially-masked Nonequilibrium Dynamics
- Inferring broken detailed balance in the absence of observable currents
- Decision Making in the Arrow of Time
- Continuous versus Discontinuous Transitions in the -Dimensional Generalized Kuramoto Model: Odd is Different
- Effective thermodynamics for a marginal observer
- Information Thermodynamics of Turing Patterns
- Quantifying hidden order out of equilibrium
- Nonequilibrium thermodynamics of coupled molecular oscillators: The energy cost and optimal design for synchronization
- Thermodynamic Limit of a Nonequilibrium Steady-State: Maxwell-Type Construction for a Bistable Biochemical System
- Entropy Production Rate is Maximized in Non-Contractile Actomyosin
- A dissipation bound for thermodynamic control
- Time-symmetric fluctuations in nonequilibrium systems
- How dissipation constrains fluctuations in nonequilibrium liquids: Diffusion, structure and biased interactions
- Entropy production as tool for characterizing nonequilibrium phase transitions
- Phase transition in thermodynamically consistent biochemical oscillators
- Entropy production of nano systems with timescale separation
- Critical behavior of entropy production and learning rate: Ising model with an oscillating field
- Energy Dissipation Bounds for Autonomous Thermodynamic Cycles
- Exponential volume dependence of entropy-current fluctuations at first-order phase transitions in chemical reaction networks
- Nonequilibrium oscillations, probability angular momentum, and the climate system
- Precision and dissipation of a stochastic Turing pattern
Cited by in corpus (23)
- Thermodynamics of active field theories: Energetic cost of coupling to reservoirs
- Nonreciprocal Ising model
- Distribution of the time of the maximum for stationary processes
- Universal minimal cost of coherent biochemical oscillations
- Stochastic Hydrodynamics of Complex Fluids: Discretisation and Entropy Production
- Mathematical, Thermodynamical, and Experimental Necessity for Coarse Graining Empirical Densities and Currents in Continuous Space
- Dynamical phase transitions in the nonreciprocal Ising model
- Nonequilibrium Phase Transition To Temporal Oscillations In Mean-Field Spin Models
- Dissipation, quantum coherence, and asymmetry of finite-time cross-correlations
- Discontinuous phase transition from ferromagnetic to oscillating states in a nonequilibrium mean-field spin model
- Effective Entropy Production and Thermodynamic Uncertainty Relation of Active Brownian Particles
- Dissipative timescales from coarse-graining irreversibility
- Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
- From predicting to learning dissipation from pair correlations of active liquids
- Nonequilibrium fluctuations of chemical reaction networks at criticality: The Schlögl model as paradigmatic case
- Exploring the Interplay of Intrinsic Fluctuation and Complexity in Intracellular Calcium Dynamics
- Collective oscillations in a three-dimensional spin model with non-reciprocal interactions
- Entropy production of active Brownian particles going from liquid to hexatic and solid phases
- Inferring the Langevin Equation with Uncertainty via Bayesian Neural Networks
- Hidden collective oscillations in a disordered mean-field spin model with non-reciprocal interactions
- Entropy production in non-reciprocal polar active mixtures
- Thermodynamic efficiency of self-organisation in nonequilibrium steady states
- Higher-codimension points as organizing centers in nonreciprocal pattern-forming systems with O(2)-symmetry