Current fluctuations and transport efficiency for general Langevin systems

Abstract

We derive a universal bound on generalized currents in Langevin systems in terms of the mean-square fluctuations of the current and the total entropy production. This bound generalizes a relation previously found by Barato et al. to arbitrary times and transient states. Using the bound, we define a new efficiency for stochastic transport, which measures how close a given system comes to saturating the bound. The existence of such a bounded efficiency implies that stochastic transport is unavoidably accompanied by a fluctuations and dissipation, which cannot be reduced arbitrarily. We apply the definition of transport efficiency to steady state particle transport and heat engines and show that the transport efficiency may approach unity at finite current, in contrast to the thermodynamic efficiency. Finally, we derive a bound on purely diffusive transport in terms of the Shannon entropy.

13 pages, 2 figures

References in corpus (11)

• Thermodynamic uncertainty relation for biomolecular processes
• Universal trade-off between power, efficiency, and constancy in steady-state heat engines
• Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
• Finite-time generalization of the thermodynamic uncertainty relation
• Generic Properties of Stochastic Entropy Production
• Logarithmic current fluctuations in non-equilibrium quantum spin chains
• Brownian motors: current fluctuations and rectification efficiency
• Direct measurement of nonequilibrium system entropy is consistent with Gibbs-Shannon form
• Work and power fluctuations in a critical heat engine
• Diverging, but negligible power at Carnot efficiency: theory and experiment
• Multipartite nonlocality and random measurements

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