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The Carnot cycle combines reversible isothermal and adiabatic strokes to obtain optimal efficiency, at the expense of a vanishing power output. Quantum Carnot-analog cycles are constructed and solved, operating irreversibly at non-vanishing…

Quantum Physics · Physics 2021-01-29 Roie Dann , Ronnie Kosloff

We study how to achieve the ultimate power in the simplest, yet non trivial, model of a thermal machine, namely a two-level quantum system coupled to two thermal baths. Without making any prior assumption on the protocol, via optimal…

Quantum Physics · Physics 2019-11-07 Paolo Andrea Erdman , Vasco Cavina , Rosario Fazio , Fabio Taddei , Vittorio Giovannetti

Based on quantum thermodynamic processes, we make a quantum-mechanical (QM) extension of the typical heat engine cycles, such as the Carnot, Brayton, Otto, and Diesel cycles, etc. The temperature is not included in these QM engine cycles,…

Statistical Mechanics · Physics 2013-02-05 Jianhui Wang , Yongli Ma , Jizhou He

Continuous particle exchange thermal machines require no time-dependent driving, can be realised in solid-state electronic devices, and miniaturised to nanometre scale. Quantum dots, providing a narrow energy filter and allowing to…

Mesoscale and Nanoscale Physics · Physics 2025-12-18 Eugenia Pyurbeeva , Ronnie Kosloff

Recently, a formal analogy between the fluctuating diffusivity and thermodynamics has been proposed based on phenomena of heterogeneous diffusion observed in living cells. This not only offers the analogs of the quantity of heat and work as…

Statistical Mechanics · Physics 2025-09-16 Yuichi Itto

The efficiency of macroscopic heat engines is restricted by the second law of thermodynamics. They can reach at most the efficiency of a Carnot engine. In contrast, heat currents in mesoscopic heat engines show fluctuations. Thus, there is…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 Sebastian Pilgram , David Sanchez , Rosa Lopez

Despite its idealizations, thermodynamics has proven its power as a predictive theory for practical applications. In particular, the Curzon-Ahlborn efficiency provides a benchmark for any real engine operating at maximal power. Here we…

Statistical Mechanics · Physics 2020-06-30 Zackary Smith , P. S. Pal , Sebastian Deffner

We analyse a device aimed at the conversion of heat into electrical energy, based on a closed cycle in which a distiller generates two solutions at different concentrations, and an electrochemical cell consumes the concentration difference,…

Chemical Physics · Physics 2022-09-14 Andrea Carati , Massimo Marino , Doriano Brogioli

Several authors have proposed out of equilibrium thermal engines models, allowing optimization processes involving a trade off between the power output of the engine and its dissipation. These operating regimes are achieved by using…

Statistical Mechanics · Physics 2019-09-02 S. Levario-Medina , L. A. Arias-Hernandez

Heat is a physical manifestation of entropy, where the removal of entropy from a thermal energy reservoir permits the conversion of heat into work. This entropy transfer is facilitated by the cold thermal energy reservoir in typical heat…

Quantum Physics · Physics 2025-11-12 Liam Judd McClelland

The performance of one type (Carnot) of Internal Combustion Engine (ICE) cycle is analyzed within the framework of thermodynamic free energies. ICE performance is different from that of an External Combustion Engine (ECE) which is dictated…

General Physics · Physics 2012-05-02 William D. Harris

Interesting effects arise in cyclic machines where both heat and ergotropy transfer take place between the energising bath and the system (the working fluid). Such effects correspond to unconventional decompositions of energy exchange…

Quantum Physics · Physics 2019-03-08 Arnab Ghosh , Victor Mukherjee , Wolfgang Niedenzu , Gershon Kurizki

We derive a bound on the efficiency of thermal engines that can be sharper than Carnot's limit. It is a function of statistical correlations between the engine internal state and Hamiltonian, can be saturated even in finite-time cycles, and…

Quantum Physics · Physics 2026-04-14 Anna Gabetti , Fabrizio Dolcini , Davide Girolami

The Carnot statement of the second law of thermodynamics poses an upper limit on the efficiency of all heat engines. Recently, it has been studied whether generic quantum features such as coherence and quantum entanglement could allow for…

Statistical Mechanics · Physics 2015-10-14 Bartłomiej Gardas , Sebastian Deffner

Sadi Carnot's theorem regarding the maximum efficiency of heat engines is considered to be of fundamental importance in thermodynamics. This theorem famously states that the maximum efficiency depends only on the temperature of the heat…

Quantum Physics · Physics 2019-08-21 Mischa P. Woods , Nelly Ng , Stephanie Wehner

Delimiting the bounds of optimal performance for heat engines (HEs), refrigerators (REs), and heat pumps (HPs) is a central goal in thermodynamics. While low-dissipation (LD) models have proven valuable for this purpose, the role of heat…

Statistical Mechanics · Physics 2025-09-09 Zhuolin Ye , Viktor Holubec

On the assumption that experimentally validated tabulated thermodynamic properties of saturated fluids published by the National Institute of Standards and Technology are accurate, a theoretical thermodynamic cycle can be demonstrated that…

Chemical Physics · Physics 2018-08-15 Matthew David Marko

We present an in-depth analysis of the sometimes understated role of the principle of energy conservation in linear irreversible thermodynamics. Our case study is that of a thermoelectric generator (TEG), which is a heat engine of choice in…

Statistical Mechanics · Physics 2013-09-02 Yann Apertet , Henni Ouerdane , Christophe Goupil , Philippe Lecoeur

We report on the study of student difficulties regarding heat engine in the context of Stirling cycle within upper-division undergraduate thermal physics course. An in-class test about a Stirling engine with a regenerator was taken by three…

Physics Education · Physics 2020-08-17 Lilin Zhu , Gang Xiang

Recent experimental breakthroughs produced the first nano heat engines that have the potential to harness quantum resources. An instrumental question is how their performance measures up against the efficiency of classical engines. For…

Statistical Mechanics · Physics 2018-11-21 Sebastian Deffner