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We study a class of cyclic Brownian heat engines in the framework of finite-time thermodynamics. For infinitely long cycle times, the engine works at the Carnot efficiency limit producing, however, zero power. For the efficiency at maximum…

Statistical Mechanics · Physics 2009-11-13 Tim Schmiedl , Udo Seifert

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 have performed an extensive analysis of a single particle stochastic heat engine constructed by manipulating a Brownian particle in a time dependent harmonic potential. The cycle consists of two isothermal steps at different temperatures…

Statistical Mechanics · Physics 2014-12-01 Shubhashis Rana , P. S. Pal , Arnab Saha , A. M. Jayannavar

Recent advances in experimental control of colloidal systems have spurred a revolution in the production of mesoscale thermodynamic devices. Functional "textbook" engines, such as the Stirling and Carnot cycles, have been produced in…

Statistical Mechanics · Physics 2022-06-15 Adam G. Frim , Michael R. DeWeese

The Carnot heat engine sets an upper bound on the efficiency of a heat engine. As an ideal, reversible engine, a single cycle must be performed in infinite time, and so the Carnot engine has zero power. However, there is nothing in…

High Energy Physics - Theory · Physics 2018-07-11 Clifford V. Johnson

Achieving the Carnot efficiency at finite power is a challenging problem in heat engines due to the trade-off relation between efficiency and power that holds for general heat engines. It is pointed out that the Carnot efficiency at finite…

Statistical Mechanics · Physics 2022-03-03 Kosuke Miura , Yuki Izumida , Koji Okuda

The Carnot cycle is a prototype of ideal heat engine to draw mechanical energy from the heat flux between two thermal baths with the maximum efficiency, dubbed as the Carnot efficiency $\eta_{\mathrm{C}}$. Such efficiency can only be…

Statistical Mechanics · Physics 2022-06-22 Ruo-Xun Zhai , Fang-Ming Cui , Yu-Han Ma , C. P. Sun , Hui Dong

We study the stochastic energetic exchanges in quantum heat engines. Due to microreversibility, these obey a fluctuation relation, called the heat engine fluctuation relation, which implies the Carnot bound: no machine can have an…

Quantum Physics · Physics 2015-03-24 Michele Campisi , Jukka Pekola , Rosario Fazio

A theoretical thermodynamic cycle more efficient than an infinite set of Carnot engines is presented. This result is unexpected from the point of view of classical thermodynamics.

General Physics · Physics 2009-01-06 Jose Belandria

We model a Brownian heat engine as a Brownian particle that hops in a periodic ratchet potential where the ratchet potential is coupled with a linearly decreasing background temperature. It is shown that the efficiency of such Brownian heat…

Statistical Mechanics · Physics 2016-06-29 Mesfin Asfaw Taye

A dynamical model of a highly efficient heat engine is proposed, where an applied temperature difference maintains the motion of particles around the circuit consisting of two asymmetric narrow channels, in one of which the current flows…

Statistical Mechanics · Physics 2022-10-06 Giuliano Benenti , Giulio Casati , Fabio Marchesoni , Jiao Wang

The Carnot cycle imposes a fundamental upper limit to the efficiency of a macroscopic motor operating between two thermal baths. However, this bound needs to be reinterpreted at microscopic scales, where molecular bio-motors and some…

Statistical Mechanics · Physics 2016-02-03 Ignacio A. Martínez , Édgar Roldán , Luis Dinis , Dmitri Petrov , Juan M. R. Parrondo , Raúl A. Rica

We want to understand whether and to which extent the maximal (Carnot) efficiency for heat engines can be reached at a finite power. To this end we generalize the Carnot cycle so that it is not restricted to slow processes. We show that for…

Statistical Mechanics · Physics 2013-12-16 Armen E. Allahverdyan , Karen V. Hovhannisyan , Alexey V. Melkikh , Sasun G. Gevorkian

A cyclic thermodynamic heat engine runs most efficiently if it is reversible. Carnot constructed such a reversible heat engine by combining adiabatic and isothermal processes for a system containing an ideal gas. Here, we present an example…

Quantum Physics · Physics 2009-11-06 C. M. Bender , D. C. Brody , B. K. Meister

Here, we investigate the maximum power and corresponding efficiency of thermoelectric generators through devising a set of protocols for the isothermal and adiabatic processes of thermoelectricity to build a Carnot-like thermoelectric…

Applied Physics · Physics 2023-11-28 Yuchao Hua , Lingai Luo , Zeng-Yuan Guo

Optimization of cyclic stochastic heat engines, a topic spanning decades of research, commonly assumes fixed control or response parameters at discrete points in the cycle-a limitation that often leads to experimentally impractical…

Statistical Mechanics · Physics 2025-07-02 Monojit Chatterjee , Viktor Holubec , Rahul Marathe

We discuss the possibility of reaching the Carnot efficiency by heat engines (HEs) out of quasi-static conditions at nonzero power output. We focus on several models widely used to describe the performance of actual HEs. These models…

Statistical Mechanics · Physics 2018-04-06 Viktor Holubec , Artem Ryabov

The efficiency of microscopic heat engines in a thermally heterogenous environment is considered. We show that, as a consequence of the recently discovered entropic anomaly, quasi-static engines, whose efficiency is maximal in a fluid at…

Statistical Mechanics · Physics 2015-06-12 Stefano Bo , Antonio Celani

Heat engines should ideally have large power output, operate close to Carnot efficiency and show constancy, i.e., exhibit only small fluctuations in this output. For steady-state heat engines, driven by a constant temperature difference…

Statistical Mechanics · Physics 2018-05-15 Patrick Pietzonka , Udo Seifert

We consider the optimization of a finite-time Carnot engine characterized by small dissipations. We bound the power with a simple inequality and show that the optimal strategy is to perform small cycles around a given working point, which…

Quantum Physics · Physics 2020-03-23 Paolo Abiuso , Martí Perarnau-Llobet
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