Thermodynamic, kinetic, and thermokinetic uncertainty relations are derived for arbitrary currents in coherent transport, remaining valid far from equilibrium and in superconducting hybrid structures.
Stochastic entropy production in scattering theory
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abstract
We formulate a stochastic description of entropy production in scattering theory for coherent transport. We distinguish between the information entropy change due to partial knowledge of the leads' state and the thermodynamic entropy change due to the equilibration of each lead with its bath. By employing a two-point measurement scheme, we access the stochastic entropy production at these different stages of the process, as well as the statistics of generic transport quantities. When restricted to particle or energy transport, our approach reproduces the Landauer-B\"uttiker formulas. The possibility to consider more general quantities such as the entropy currents and their fluctuations, provides a systematic connection between stochastic thermodynamics and coherent transport.
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cond-mat.mes-hall 1years
2026 1verdicts
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Uncertainty relations for arbitrary currents in coherent transport
Thermodynamic, kinetic, and thermokinetic uncertainty relations are derived for arbitrary currents in coherent transport, remaining valid far from equilibrium and in superconducting hybrid structures.