Nonuniversality of heat engine efficiency at maximum power

Abstract

We study the efficiency of a simple quantum dot heat engine at maximum power. In contrast to the quasi-statically operated Carnot engine whose efficiency reaches the theoretical maximum, recent research on more realistic engines operated in a finite time has revealed other classes of efficiencies such as the Curzon-Ahlborn efficiency maximizing the power. Such a power-maximizing efficiency has been argued to be always the half of the maximum efficiency up to the linear order near equilibrium under the tight-coupling condition between thermodynamic fluxes. We show, however, that this universality may break down for the quantum dot heat engine, depending on the constraint imposed on the engine control parameters (local optimization), even though the tight-coupling condition remains satisfied.It is shown that this deviation is critically related to the applicability of the linear irreversible thermodynamics.

arXiv comment9 pages, 7 figures, revised version

References in corpus (25)

• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Efficiency at maximum power of low dissipation Carnot engines
• Universality of efficiency at maximum power
• Quantum Equivalence and Quantum Signatures in Heat Engines
• Reversible quantum Brownian heat engines for electrons
• Thermoelectric efficiency at maximum power in a quantum dot
• A quantum-dot heat engine operating close to the thermodynamic efficiency limits
• Universal trade-off relation between power and efficiency for heat engines
• Efficiency at maximum power of Feynman's ratchet as a heat engine
• Powerful and efficient energy harvester with resonant-tunneling quantum dots
• Efficiency at maximum power of minimally nonlinear irreversible heat engines
• Efficiency at and near Maximum Power of Low-Dissipation Heat Engines
• Stochastically driven single level quantum dot: a nano-scale finite-time thermodynamic machine and its various operational modes
• Maximum efficiency of steady-state heat engines at arbitrary power
• Irreversibilities and efficiency at maximum power of heat engines: illustrative case of a thermoelectric generator
• Efficiency at maximum power and efficiency fluctuations in a linear Brownian heat engine model
• Bounds of efficiency at maximum power for linear, superlinear and sublinear irreversible Carnot-like heat engines
• Carnot efficiency is reachable in an irreversible process
• Weighted reciprocal of temperature, weighted thermal flux, and their applications in finite-time thermodynamics
• Constitutive Relation for Nonlinear Response and Universality of Efficiency at Maximum Power for Tight-Coupling Heat Engines
• Efficiency of Single Particle Engines
• Carnot process with a single particle
• Total cost of operating an information engine
• Engines with ideal efficiency and nonzero power for sublinear transport laws
• Stochastic thermodynamics for Ising chain and symmetric exclusion process

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