Dissipation bounds precision of current response to kinetic perturbations

Abstract

The precision of currents in Markov networks is bounded by dissipation via the so-called thermodynamic uncertainty relation (TUR). In our work, we demonstrate a similar inequality that bounds the precision of the static current response to perturbations of kinetic barriers. Perturbations of such type, which affect only the system kinetics but not the thermodynamic forces, are highly important in biochemistry and nanoelectronics. We prove that our inequality cannot be derived from the standard TUR. Instead, it implies the standard TUR and provides an even tighter bound for dissipation. We also provide a procedure for obtaining the optimal response precision for a given model.

arXiv comment6 pages, 4 figures

References in corpus (34)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Thermodynamic uncertainty relation for biomolecular processes
• Dissipation bounds all steady-state current fluctuations
• Counting statistics of single-electron transport in a quantum dot
• Fluctuations and response of nonequilibrium states
• Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
• Universal bounds on current fluctuations
• Fluctuation-Dissipation Theorem in Nonequilibrium Steady States
• Finite-time generalization of the thermodynamic uncertainty relation
• Full counting statistics of super-Poissonian shot noise in multi-level quantum dots
• Electron counting in quantum dots
• Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
• Kinetic uncertainty relation
• Unifying Thermodynamic Uncertainty Relations
• Entropy production estimation with optimal current
• Current and power spectrum in a magnetic tunnel device with an atomic size spacer
• Stochastic thermodynamics: From principles to the cost of precision
• Stochastic thermodynamics for "Maxwell demon" feedbacks
• Conservation Laws shape Dissipation
• Fluctuation-dissipation relations far from equilibrium
• Stochastic Thermodynamics of Non-Linear Electronic Circuits: A Realistic Framework for Computing around kT
• Thermodynamically Consistent Coarse Graining of Biocatalysts beyond Michaelis--Menten
• Universal thermodynamic bounds on nonequilibrium response with biochemical applications
• Autonomous conversion of information to work in quantum dots
• Fluctuating Currents in Stochastic Thermodynamics I. Gauge Invariance of Asymptotic Statistics
• Negative differential response in chemical reactions
• Topologically-constrained fluctuations and thermodynamics regulate nonequilibrium response
• Nonequilibrium Green-Kubo relations for hydrodynamic transport from an equilibrium-like fluctuation-response equality
• Beyond Thermodynamic Uncertainty Relations: nonlinear response, error-dissipation trade-offs, and speed limits
• Trade-offs between number fluctuations and response in nonequilibrium chemical reaction networks
• Thermodynamic correlation inequality
• Thermodynamic constraints on the nonequilibrium response of one-dimensional diffusions
• An ordered set of power-efficiency trade-offs
• On the kinetics that moves Myosin V

Cited by in corpus (14)

• Roadmap on Quantum Thermodynamics
• Nonequilibrium Fluctuation-Response Relations: From Identities to Bounds
• Fundamental bounds on precision and response for quantum trajectory observables
• Dynamical activity universally bounds precision of response in Markovian nonequilibrium systems
• Mutual Multilinearity of Nonequilibrium Network Currents
• Unified Linear Fluctuation-Response Theory Arbitrarily Far from Equilibrium
• Nonequilibrium fluctuation-response relations for state-current correlations
• Nonequilibrium fluctuation-response relations for state observables
• Macroscopic fluctuation-response theory and its use for gene regulatory networks
• Quasiprobability Thermodynamic Uncertainty Relation
• Nonlinear Response Relations and Fluctuation-Response Inequalities for Nonequilibrium Stochastic Systems
• Mutual Linearity is a Generic Property of Steady-State Markov Networks
• Response kinetic uncertainty relation for Markovian open quantum systems
• Thermodynamic Geometric Constraint on the Spectrum of Markov Rate Matrices