Maximum power heat engines and refrigerators in the fast-driving regime
- URL: http://arxiv.org/abs/2010.00586v2
- Date: Wed, 16 Jun 2021 23:26:09 GMT
- Title: Maximum power heat engines and refrigerators in the fast-driving regime
- Authors: Vasco Cavina, Paolo A. Erdman, Paolo Abiuso, Leonardo Tolomeo and
Vittorio Giovannetti
- Abstract summary: We study the optimization of the performance of periodically driven thermal machines.
We derive the optimal cycle that universally maximizes the extracted power of heat engines, the cooling power of refrigerators, and in general any linear combination of the heat currents.
- Score: 1.3999481573773072
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the optimization of the performance of arbitrary periodically driven
thermal machines. Within the assumption of fast modulation of the driving
parameters, we derive the optimal cycle that universally maximizes the
extracted power of heat engines, the cooling power of refrigerators, and in
general any linear combination of the heat currents. We denote this optimal
solution as ``generalized Otto cycle'' since it shares the basic structure with
the standard Otto cycle, but it is characterized by a greater number of fast
strokes. We bound this number in terms of the dimension of the Hilbert space of
the system used as working fluid. The generality of these results allows for a
widespread range of applications, such as reducing the computational complexity
for numerical approaches, or obtaining the explicit form of the optimal
protocols when the system-baths interactions are characterized by a single
thermalization scale. In this case, we compare the thermodynamic performance of
a collection of optimally driven non-interacting and interacting qubits.
Remarkably, for refrigerators the non-interacting qubits perform almost as well
as the interacting ones, while in the heat engine case there is a many-body
advantage both in the maximum power, and in the efficiency at maximum power.
Additionally, we illustrate our general results studying the paradigmatic model
of a qutrit-based heat engine. Our results strictly hold in the semiclassical
case in which no coherence is generated by the driving, and finally we discuss
the non-commuting case.
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