The most accurate quantum thermoelectric
- URL: http://arxiv.org/abs/2106.10205v3
- Date: Mon, 19 Feb 2024 14:01:20 GMT
- Title: The most accurate quantum thermoelectric
- Authors: Andre M. Timpanaro, Giacomo Guarnieri and Gabriel T. Landi
- Abstract summary: Thermodynamic Uncertainty Relations (TURs) represent a benchmark result in non-equilibrium physics.
We rigorously demonstrate that the transmission function which maximizes the reliability of thermoelectric devices is a collection of boxcar functions.
This allows us to show that TURs can be violated by arbitrarily large amounts, depending on the temperature and chemical potential gradients.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Thermodynamic Uncertainty Relations (TURs) represent a benchmark result in
non-equilibrium physics that allows to place fundamental lower bounds on the
noise-to-signal ratio (precision) of currents in nanoscale devices. Originally
formulated for classical time-homogeneous Markov processes, these relations,
were shown to be violated in thermoelectric engines and photovoltaic devices
supporting quantum-coherent transport. However, the extent to which these
violations may occur still represent a missing piece of the puzzle. In this
work we provide such answer in a definitive way within the general
Landauer-B\"uttiker formalism beyond any perturbative regime, e.g. linear
response. In particular, using analytical constrained-optimization techniques,
we rigorously demonstrate that the transmission function which maximizes the
reliability of thermoelectric devices (i.e. which minimizes the fluctuations of
its steady-state currents) for fixed average power and efficiency is a
collection of boxcar functions. This allows us to show that TURs can be
violated by arbitrarily large amounts, depending on the temperature and
chemical potential gradients, thus providing guidelines to the design of
optimal devices.
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