Abstract
We provide a strategy for the exact inference of the average as well as the fluctuations of the entropy production in nonequilibrium systems in the steady state, from the measurements of arbitrary current fluctuations. Our results are built upon the finite-time generalization of the thermodynamic uncertainty relation, and require only very short time series data from experiments. We illustrate our results with exact and numerical solutions for two colloidal heat engines.
Highlights
We provide a strategy for the exact inference of the average as well as the fluctuations of the entropy production in nonequilibrium systems in the steady state, from the measurements of arbitrary current fluctuations
Our results are built upon the finite-time generalization of the thermodynamic uncertainty relation, and require only very short time series data from experiments
A fundamental property of nonequilibrium systems is the existence of currents which are fueled by a nonvanishing average rate of total entropy production σ 1⁄4 hΔStoti=τ, where τ is the time interval over which we observe the system
Summary
A fundamental property of nonequilibrium systems is the existence of currents which are fueled by a nonvanishing average rate of total entropy production σ 1⁄4 hΔStoti=τ, where τ is the time interval over which we observe the system. We provide a strategy for the exact inference of the average as well as the fluctuations of the entropy production in nonequilibrium systems in the steady state, from the measurements of arbitrary current fluctuations. Our second contribution is to demonstrate that, by combining the value of σ inferred from the previous step and the structure of the large deviation function of arbitrary currents [37,38,43], we can infer the distribution of ΔStot, and as a result all the cumulants, arbitrarily close to their exact values.
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