SKM 2023 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 6: Statistical Physics: General I
DY 6.5: Vortrag
Montag, 27. März 2023, 11:00–11:15, ZEU 160
Geometric Bounds on the Power of Adiabatic Thermal Machines — •Joshua Eglinton1,2 and Kay Brandner1,2 — 1School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom — 2Centre for the Mathematical and Theoretical Physics of Quantum Non-equilibrium Systems, University of Nottingham, Nottingham NG7 2RD, United Kingdom
The laws of thermodynamics put fundamental bounds on the efficiencies of thermal machines. These Carnot bounds can typically be attained only if the machine is operated quasi-statically, which leads to vanishing power output. We present a new family of power-efficiency trade-off relations that imply a quadratic decay of power at Carnot efficiency, for devices operating between two fixed temperatures. Notably, these relations depend only on geometric quantities such as the thermodynamic length of the driving cycle and hold for essentially any thermodynamically consistent micro-dynamics such as classical Markov-jump processes, adiabatic Lindblad dynamics or coherent transport. This analysis is based on a new general scaling argument, with which we show that the efficiency of such devices reaches the Carnot bound only if heat-leaks between the baths can be fully suppressed. Furthermore, we find that their power is in fact determined by second-order terms in the temperature difference between the two baths, which are neglected in standard linear-response theory.
[1] - J. Eglinton and K. Brandner, Phys. Rev. E 105, L052102 (2022)