Geometric thermodynamic uncertainty relation in a periodically driven thermoelectric heat engine Article Swipe
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· 2022
· Open Access
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· DOI: https://doi.org/10.1103/physrevb.105.115428
· OA: W4220741709
Thermodynamic uncertainty relation, quantifying a trade-off among average\ncurrent, the associated fluctuation (precision), and entropy production (cost),\nhas been formulated in nonequilibrium steady state and various stochastic\nsystems. Herein, we study the thermodynamic uncertainty relation in generic\nthermoelectric heat engines under a periodic control protocol, by uncovering\nthe underlying Berry-phase-like contribution. We show that our thermodynamic\nuncertainty relation breaks the seminal steady-state results, originating from\nthe non-vanishing geometric effect. Furthermore, by deriving the consequent\ntrade-off relation binding efficiency, power, and constancy, we prove that the\nperiodically driven thermoelectric heat engines can generally outperform the\nsteady-state analogies. The general bounds are illustrated by an analytically\nsolvable two-terminal single quantum dot heat engine under the periodic\nmodulation. Our work provides a geometric framework in bounding and optimizing\na wide range of periodically driven thermoelectric thermal machines.\n
