Universal bounds on fluctuations for machines with broken time-reversal symmetry
arXiv:2110.05297
Abstract
For a generic class of machines with broken time-reversal symmetry we show that in the linear response regime the relative fluctuation of the sum of output currents for time-forward and time-reversed processes is always lower bounded by the corresponding relative fluctuation of the sum of input currents. This bound is received when the same operating condition, for example, engine, refrigerator or pump, is imposed in both the forward and the reversed processes. As a consequence, universal upper and lower bounds for the ratio of fluctuations between the output and the input current is obtained. Furthermore, we establish an important connection between our results and the recently obtained generalized thermodynamic uncertainty relation for time-reversal symmetry broken systems. We illustrate these findings for two different types of machines: (i) a steady-state three-terminal quantum thermoelectric setup in presence of an external magnetic field, and (ii) a periodically driven classical Brownian heat engine.
arXiv comment7 pages, 2 figures
References in corpus (28)
- A nonequilibrium equality for free energy differences
- Unusually High Thermal Conductivity of Carbon Nanotubes
- Dynamical Ensembles in Nonequilibrium Statistical Mechanics
- Thermodynamic uncertainty relation for biomolecular processes
- Quantum Thermodynamics
- Dissipation bounds all steady-state current fluctuations
- Efficiency at maximum power: An analytically solvable model for stochastic heat engines
- Stochastic thermodynamics: Principles and perspectives
- Universal trade-off between power, efficiency, and constancy in steady-state heat engines
- Fluctuations and response of nonequilibrium states
- Thermodynamic Bounds on Efficiency for Systems with Broken Time-reversal Symmetry
- Thermodynamic uncertainty relations from exchange fluctuation theorems
- Thermodynamics of precision in quantum non equilibrium steady states
- Strong bounds on Onsager coefficients and efficiency for three terminal thermoelectric transport in a magnetic field
- Cycling tames power fluctuations near optimum efficiency
- Thermodynamic Bounds on Precision in Ballistic Multi-Terminal Transport
- Unified thermodynamic uncertainty relations in linear response
- On the validity of the thermodynamic uncertainty relation in quantum systems
- Unifying Thermodynamic Uncertainty Relations
- Thermodynamic uncertainty relation in slowly driven quantum heat engines
- Thermodynamic uncertainty relation in quantum thermoelectric junctions
- Multi-terminal Thermoelectric Transport in a Magnetic Field: Bounds on Onsager Coefficients and Efficiency
- Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry
- Experimental Accessibility of Generalized Fluctuation-Dissipation Relations for Nonequilibrium Steady States
- Efficiency Statistics and Bounds for Systems with Broken Time-Reversal Symmetry
- Bounds on fluctuations for finite-time quantum Otto cycle
- Thermodynamic uncertainty relation for energy transport in transient regime -- Model study
- Fluctuation-Dissipation Relation for Open Quantum Systems in Nonequilibrium Steady State