Thermodynamic Bound on the Asymmetry of Cross-Correlations

Abstract

The principle of microscopic reversibility says that, in equilibrium, two-time cross-correlations are symmetric under the exchange of observables. Thus, the asymmetry of cross-correlations is a fundamental, measurable, and often-used statistical signature of deviation from equilibrium. Here we find a simple and universal inequality that bounds the magnitude of asymmetry by the cycle affinity, i.e., the strength of thermodynamic driving. Our result applies to a large class of systems and all state observables, and it suggests a fundamental thermodynamic cost for various nonequilibrium functions quantified by the asymmetry. It also provides a powerful tool to infer affinity from measured cross-correlations, in a different and complementary way to the thermodynamic uncertainty relations. As an application, we prove a thermodynamic bound on the coherence of noisy oscillations, which was previously conjectured by Barato and Seifert [Phys. Rev. E 95, 062409 (2017)]. We also derive a thermodynamic bound on directed information flow in a biochemical signal transduction model.

7 pages, 2 figures (main text) + 6 pages, 1 figure (supplemental material). Minor errors corrected

References in corpus (6)

• Thermodynamic uncertainty relation for biomolecular processes
• Analytic results for the three-sphere swimmer at low Reynolds number
• Thermodynamic costs of information processing in sensory adaption
• Efficiency of cellular information processing
• Maxwell's demon in biochemical signal transduction with feedback loop
• Information-theoretic vs. thermodynamic entropy production in autonomous sensory networks

Cited by in corpus (33)

• Nonreciprocal Ising model
• Does the brain behave like a (complex) network? I. Dynamics
• Dynamical phase transitions in the nonreciprocal Ising model
• Fluctuating Entropy Production on the Coarse-Grained Level: Inference and Localization of Irreversibility
• Entropy production limits all fluctuation oscillations
• Thermodynamic bounds on spectral perturbations, with applications to oscillations and relaxation dynamics
• Dissipation, quantum coherence, and asymmetry of finite-time cross-correlations
• Thermodynamic bounds on time-reversal asymmetry
• General theory for localizing the where and when of entropy production meets single-molecule experiments
• Perspective: Time irreversibility in systems observed at coarse resolution
• Entropy estimation for partially accessible Markov networks based on imperfect observations: Role of finite resolution and finite statistics
• Quantum-Computer-Based Verification of Quantum Thermodynamic Uncertainty Relation
• Inferring kinetics and entropy production from observable transitions in partially accessible, periodically driven Markov networks
• Mutual Multilinearity of Nonequilibrium Network Currents
• Fluctuation Dissipation Relations for Active Field Theories
• Entropy production from waiting-time distributions for overdamped Langevin dynamics
• Theory for Optimal Estimation and Control under Resource Limitations and Its Applications to Biological Information Processing and Decision-Making
• Graph theoretic analysis of three-terminal quantum dot thermocouples: Onsager relations and spin-thermoelectric effects
• Thermodynamic bounds on the asymmetry of cross-correlations with dynamical activity and entropy production
• Thermodynamic bounds and error correction for faulty coarse graining
• From observed transitions to hidden paths in Markov networks
• Wasserstein distance in speed limit inequalities for Markov jump processes
• Information geometric bound on general chemical reaction networks
• Quasiprobability Thermodynamic Uncertainty Relation
• Compensating random transition-detection blackouts in Markov networks
• Thermodynamic inference of correlations in nonequilibrium collective dynamics
• Stochastic Thermodynamics of Non-reciprocally Interacting Particles and Fields
• Coarse Graining Photo-Isomerization Reactions: Thermodynamic Consistency and Implications for Molecular Ratchets
• Experimentally accessible measurement of irreversibility in stochastic systems by categorizing single-molecule displacements
• Thermodynamic Geometric Constraint on the Spectrum of Markov Rate Matrices
• Unravelling the Flow of Information in a Nonequilibrium Process in the Presence of Hydrodynamic Interactions
• Coulomb-mediated single-electron heat transfer statistics across capacitively coupled silicon nanodots
• Universal trade-off between irreversibility and intrinsic timescale in thermal relaxation with applications to thermodynamic inference