Efficiency of heat engines coupled to nonequilibrium reservoirs

2013/03/31 by Obinna Abah, Eric Lutz · 11 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Entropy (arrow of time) #Entropy production #Field-Flow Fractionation Techniques #Generalization #Heat engine #Heat transfer #Mathematical analysis #Mathematics #Maximum power principle #Non-equilibrium thermodynamics #Physics #Power (physics) #Principle of maximum entropy #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Second law of thermodynamics #Statistical physics #Thermal reservoir #Thermodynamics #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1209/0295-5075/106/20001

published as EPL 106, 20001 (2014) · 6 pages, 1 figure

arxiv created 2014/01/22 · openalex publication_date 2014/04/01 · arxiv updated 2014/09/29 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05

Abstract

We consider quantum heat engines that operate between nonequilibrium stationary reservoirs. We evaluate their maximum efficiency from the positivity of the entropy production and show that it can be expressed in terms of an effective temperature that depends on the nature of the reservoirs. We further compute the efficiency at maximum power for different kinds of engineered reservoirs and derive a nonequilibrium generalization of the Clausius statement of the second law.

Citations

• Extracting Work from a Single Heat Bath via Vanishing Quantum Coherence
• Universality of Efficiency at Maximum Power
• Energetics of quantum correlations
• Quantum work statistics of linear and nonlinear parametric oscillators
• Efficiency at maximum power: An analytically solvable model for stochastic heat engines

Cited by

• Quantum-enhanced absorption refrigerators
• Quantifying nonequilibrium thermodynamic operations in a multiterminal mesoscopic system
• Testing a Quantum Heat Pump with a Two-Level Spin
• Non-equilibrium quantum heat machines
• Optimal protocols for slowly driven quantum systems
• Lindblad-Floquet description of finite-time quantum heat engines
• Performance bounds of nonadiabatic quantum harmonic Otto engine and refrigerator under a squeezed thermal reservoir
• Nanoscale Heat Engine Beyond the Carnot Limit
• An out-of-equilibrium non-Markovian quantum heat engine
• Interference of identical particles and the quantum work distribution
• Zero-point energy [wikipedia]

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