Mapping current fluctuations of stochastic pumps to nonequilibrium steady states

Abstract

We show that current fluctuations in a stochastic pump can be robustly mapped to fluctuations in a corresponding time-independent nonequilibrium steady state. We thus refine a recently proposed mapping so that it ensures equivalence of not only the averages, but also optimal representation of fluctuations in currents and density. Our mapping leads to a natural decomposition of the entropy production in stochastic pumps similar to the "housekeeping" heat. As a consequence of the decomposition of entropy production, the current fluctuations in weakly perturbed stochastic pumps are shown to satisfy a universal bound determined by the steady state entropy production.

arXiv comment5 pages, 3 pages of Supporting Information

References in corpus (25)

• The large deviation approach to statistical mechanics
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Thermodynamic uncertainty relation for biomolecular processes
• Steady State Thermodynamics of Langevin Systems
• Dissipation bounds all steady-state current fluctuations
• Brownian Carnot engine
• Fluctuations and response of nonequilibrium states
• The Three Faces of the Second Law: I. Master Equation Formulation
• Thermodynamic formalism for systems with Markov dynamics
• Universal bounds on current fluctuations
• The unlikely Carnot efficiency
• Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states
• Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states
• Cost and Precision of Brownian Clocks
• Efficiency statistics at all times: Carnot limit at finite power
• Directed flow in non-adiabatic stochastic pumps
• A formal view on 2.5 large deviations and fluctuation relations
• The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
• Stochastic pump effect and geometric phases in dissipative and stochastic systems
• Brownian duet: A novel tale of thermodynamic efficiency
• Efficiency and Large Deviations in Time-Asymmetric Stochastic Heat Engines
• Mimicking Nonequilibrium Steady States with Stochastic Pumps
• Affinity- and topology-dependent bound on current fluctuations
• Exact formula for currents in strongly pumped diffusive systems
• A proof by graphical construction of the no-pumping theorem of stochastic pumps

Cited by in corpus (24)

• Finite-time generalization of the thermodynamic uncertainty relation
• Discrete-time thermodynamic uncertainty relation
• Cycling tames power fluctuations near optimum efficiency
• Stochastic thermodynamics: From principles to the cost of precision
• Operationally accessible bounds on fluctuations and entropy production in periodically driven systems
• Bounds on current fluctuations in periodically driven systems
• A generalization of the thermodynamic uncertainty relation to periodically driven systems
• Uncertainty relations for underdamped Langevin dynamics
• Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry
• Thermodynamic cost of external control
• Uncertainty relation under information measurement and feedback control
• Thermodynamic uncertainty relation for time-delayed Langevin systems
• Uncertainty relations for time-delayed Langevin systems
• Level 2.5 large deviations for continuous time Markov chains with time periodic rates
• Exact results for the finite time thermodynamic uncertainty relation
• Stochastic thermodynamics of periodically driven systems: Fluctuation theorem for currents and unification of two classes
• Similarities and Differences Between Nonequilibrium Steady States and Time-Periodic Driving in Diffusive Systems
• Non-equilibrium Markov state modeling of periodically driven biomolecules
• Computing time-periodic steady-state currents via the time evolution of tensor network states
• Inferring kinetics and entropy production from observable transitions in partially accessible, periodically driven Markov networks
• Dispersion of the time spent in a state: General expression for unicyclic model and dissipation-less precision
• A [3]-catenane non-autonomous molecular motor model: geometric phase, no-pumping theorem, and energy transduction
• Imitating non-equilibrium steady states using time-varying equilibrium force in many-body diffusive systems
• Phase shift in periodically driven non-equilibrium systems: Its identification and a bound