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The efficiency of any heat engine, defined as the ratio of average work output to heat input, is bounded by Carnot's celebrated result. However, this measure is insufficient to characterize the properties of miniaturized heat engines…

We evaluate the efficiency at maximum power of a quantum-dot Carnot heat engine. The universal value of the coefficients at the linear and quadratic order in the temperature gradient are reproduced. Curzon-Ahlborn efficiency is recovered in…

Statistical Mechanics · Physics 2015-05-14 Massimiliano Esposito , Ryoichi Kawai , Katja Lindenberg , Christian Van den Broeck

The quantum analog of Carnot cycles in few-particle systems consists of two quantum adiabatic steps and two isothermal steps. This construction is formally justified by use of a minimum work principle. It is then shown, without relying on…

Statistical Mechanics · Physics 2015-07-22 Gaoyang Xiao , Jiangbin Gong

In a recent Letter [EPL, 118 (2017) 40003], Polettini and Esposito claimed that it is theoretically possible for a thermodynamic machine to achieve Carnot efficiency at divergent power output through the use of infinitely-fast processes. It…

Statistical Mechanics · Physics 2018-02-28 Y. Apertet

An equilibrium reversible cycle with a certain engine to transduce the energy of any chemical reaction into mechanical energy is proposed. The efficiency for chemical energy transduction is also defined so as to be compared with Carnot…

Soft Condensed Matter · Physics 2009-10-30 Tatsuo Shibata , Shin-ichi Sasa

We analyze the efficiency of thermal engines (either quantum or classical) working with a single heat reservoir like atmosphere. The engine first gets an energy intake, which can be done in arbitrary non-equilibrium way e.g. combustion of…

Statistical Mechanics · Physics 2015-03-20 Pankaj Mehta , Anatoli Polkovnikov

Differences between the thermodynamic behavior of the three-level amplifier (a quantum heat engine based on a thermally pumped laser) and the classical Carnot cycle are usually attributed to the essentially quantum or discrete nature of the…

Statistical Mechanics · Physics 2009-11-10 T. E. Humphrey , H. Linke

Originally, the Carnot cycle is a theoretical thermodynamic cycle that provides an upper limit on the efficiency that any classical thermodynamic engine can achieve during the conversion of heat into work, or conversely, the efficiency of a…

General Finance · Quantitative Finance 2018-12-20 Constantin Udriste , Vladimir Golubyatnikov , Ionel Tevy

A quantum-mechanical analog of the Carnot engine reversibly working at vanishing temperature, shortly termed the quantum-mechanical Carnot engine, is discussed. A general formula for the efficiency of such an engine with an arbitrary…

Statistical Mechanics · Physics 2013-04-18 Sumiyoshi Abe

A heat engine operating in the one-shot finite-size regime, where systems composed of a small number of quantum particles interact with hot and cold baths and are restricted to one-shot measurements, delivers fluctuating work. Further,…

Quantum Physics · Physics 2021-02-15 Mohit Lal Bera , Maciej Lewenstein , Manabendra Nath Bera

We discussed the criterion for usefully comparing an irreversible cycle with a reversible one, and show that the lost work cannot be determined by the usual cycle diagrams, contrary to what has been found in the literature. To better…

Physics Education · Physics 2022-08-23 Joaquim Anacleto

It is known that an engine with ideal efficiency ($\eta =1$ for a chemical engine and $e = e_{\rm Carnot}$ for a thermal one) has zero power because a reversible cycle takes an infinite time. However, at least from a theoretical point of…

Chemical Physics · Physics 2016-11-22 Jesper Koning , Joseph O. Indekeu

It is well known that Carnot cycle is the thermodynamic cycle which has the best thermal efficiency. However, an entire class of cycles exists that can have the same maximum efficiency: this class is that of the regenerative Reitlinger…

Popular Physics · Physics 2015-10-05 Amelia Carolina Sparavigna

Heat engines extract work by running cyclically between two heat reservoirs. When the two reservoirs are thermal and at different temperatures, the maximum efficiency of the engine is given by the Carnot limit. Here we consider a quantum…

Quantum Physics · Physics 2014-02-03 Johannes Roßnagel , Obinna Abah , Ferdinand Schmidt-Kaler , Kilian Singer , Eric Lutz

Thermodynamics places a limit on the efficiency of heat engines, but not on their output power or on how the power and efficiency change with the engine's cycle time. In this manuscript, we develop a geometrical description of the power and…

Statistical Mechanics · Physics 2016-08-06 Oren Raz , Yigit Subaşı , Rami Pugatch

We consider the performance of periodically driven stochastic heat engines in the linear response regime. Reaching the theoretical bounds for efficiency and efficiency at maximum power typically requires full control over the design and the…

Statistical Mechanics · Physics 2016-04-20 Michael Bauer , Kay Brandner , Udo Seifert

The efficiency of cyclic heat engines is limited by the Carnot bound. This bound follows from the second law of thermodynamics and is attained by engines that operate between two thermal baths under the reversibility condition whereby the…

Quantum Physics · Physics 2019-05-01 Arnab Ghosh , Wolfgang Niedenzu , Victor Mukherjee , Gershon Kurizki

We consider the quality factor Q, which quantifies the trade-off between power, efficiency, and fluctuations in steady-state heat engines modeled by dynamical systems. We show that the nonlinear scattering theory, both in classical and…

Statistical Mechanics · Physics 2020-10-28 Giuliano Benenti , Giulio Casati , Jiao Wang

The efficiency at maximum power has been investigated extensively, yet the practical control scheme to achieve it remains elusive. We fill such gap with a stepwise Carnot-like cycle, which consists the discrete isothermal process (DIP) and…

Quantum Physics · Physics 2018-08-29 Yu-Han Ma , Dazhi Xu , Hui Dong , Chang-Pu Sun

Thermodynamic constraints impose a trade-off between power and efficiency in heat engines, preventing the simultaneous achievement of high power and high efficiency. For classical microscopic engines, explicit inequalities have been…

Statistical Mechanics · Physics 2025-01-22 Hyun-Myung Chun , Jong-Min Park
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