Dynamical activity universally bounds precision of response in Markovian nonequilibrium systems

Abstract

The exploration of far-from-equilibrium systems has been at the forefront of nonequilibrium thermodynamics, with a particular focus on understanding the fluctuations and response of thermodynamic systems to external perturbations. In this study, we introduce a universal response kinetic uncertainty relation, which provides a fundamental trade-off between the precision of response for generic observables and dynamical activity in Markovian nonequilibrium systems. We demonstrate the practical applicability and tightness of the derived bound through illustrative examples. Our results are applicable to a broad spectrum of Markov jump processes, ranging from currents to non-current variables, from steady states to time-dependent driving, from continuous time to discrete time, and including Maxwell's demon or absolute irreversibility. Our findings not only enhance the theoretical foundation of stochastic thermodynamics but also may hold potential implications for far-from-equilibrium biochemical processes.

17 + 0 pages, 3 + 0 figures, 1 + 0 tables. *title changed; new figure and new sections added

References in corpus (22)

• Thermodynamic uncertainty relation for biomolecular processes
• Dynamic first-order phase transition in kinetically constrained models of glasses
• Fluctuations and response of nonequilibrium states
• Experimental study of mutual information in a Maxwell Demon
• Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
• Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
• Large work extraction and the Landauer limit in a continuous Maxwell demon
• Frenetic bounds on the entropy production
• Unified thermodynamic-kinetic uncertainty relation
• Direct Route to Thermodynamic Uncertainty Relations and Their Saturation
• Estimating time-dependent entropy production from non-equilibrium trajectories
• Nonequilibrium fluctuation-dissipation theorem and heat production
• Kinetic uncertainty relation on first passage time for accumulated current
• Milestoning estimators of dissipation in systems observed at a coarse resolution: When ignorance is truly bliss
• Movements of molecular motors: Ratchets, random walks and traffic phenomena
• Topologically-constrained fluctuations and thermodynamics regulate nonequilibrium response
• Quantum Fluctuation Theorem under Continuous Measurement and Feedback
• Dissipation bounds precision of current response to kinetic perturbations
• Effective estimation of entropy production with lacking data
• Work statistics in slow thermodynamic processes
• Thermodynamic bounds on the asymmetry of cross-correlations with dynamical activity and entropy production
• Crowding breaks the forward/backward symmetry of transition times in biased random walks

Cited by in corpus (9)

• Fundamental bounds on precision and response for quantum trajectory observables
• Nonequilibrium Fluctuation-Response Relations: From Identities to Bounds
• Mutual Multilinearity of Nonequilibrium Network Currents
• Unified Linear Fluctuation-Response Theory Arbitrarily Far from Equilibrium
• Nonequilibrium fluctuation-response relations for state observables
• Nonequilibrium fluctuation-response relations for state-current correlations
• Nonlinear Response Relations and Fluctuation-Response Inequalities for Nonequilibrium Stochastic Systems
• Response kinetic uncertainty relation for Markovian open quantum systems
• Using precision coefficients on recurrence times and integrated currents to lower bound the average dissipation rate