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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

We derive an analytical expression for maximum efficiency at fixed power of heat pumps operating along a finite-time reverse Carnot cycle under the low-dissipation assumption. The result is cumbersome, but it implies simple formulas for…

Statistical Mechanics · Physics 2022-02-28 Zhuolin Ye , Viktor Holubec

We construct an example of heat engine whose efficiency at maximum power breaks down the previously derived bounds in the linear response regime. Such example takes a classical harmonic oscillator as the working substance undergoing a…

Statistical Mechanics · Physics 2019-12-04 Marcus V. S. Bonança

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

In traditional thermodynamics the Carnot cycle yields the ideal performance bound of heat engines and refrigerators. We propose and analyze a minimal model of a heat machine that can play a similar role in quantum regimes. The minimal model…

Quantum Physics · Physics 2013-01-30 David Gelbwaser-Klimovsky , Robert Alicki , Gershon Kurizki

We study the maximum efficiency of a Carnot cycle heat engine based on a small system. It is revealed that due to the finiteness of the system, irreversibility may arise when the working substance contacts with a heat bath. As a result,…

Statistical Mechanics · Physics 2014-02-05 H. T. Quan

In the present work, a power law dissipative Carnot like heat engine cycle of two irreversible isothermal and two irreversible adiabatic processes with finite time non-adiabatic dissipation is considered and the efficiency under two…

Statistical Mechanics · Physics 2021-05-26 K. Nilavarasi , M. Ponmurugan

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

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

We quantify the prior information to infer the optimal characteristics for a constrained thermodynamic process of maximum work extraction for a pair of non-identical finite systems. The total entropy of the whole system remains conserved.…

Statistical Mechanics · Physics 2016-01-20 Preety Aneja , Harsh Katyayan , Ramandeep S. Johal

The efficiency at maximum power output of linear irreversible Carnot-like heat engines is investigated based on the assumption that the rate of irreversible entropy production of working substance in each "isothermal" process is a quadratic…

Statistical Mechanics · Physics 2012-04-24 Yang Wang , Z. C. Tu

We consider two specific thermodynamic cycles of engine operating in a finite time coupled to two thermal reservoirs with a finite heat capacity: The Carnot-type cycle and the Lorenz-type cycle. By means of the endo-reversible…

General Physics · Physics 2017-10-11 Ilki Kim , Hui Wan , Soumya S. Patnaik

According to Thermodynamics, the efficiency of a heat engine is upper bounded by Carnot efficiency. For macroscopic systems, the Carnot efficiency is, however, achieved only for quasi static processes. And, considerable attention has been…

Statistical Mechanics · Physics 2023-05-03 Takaaki Monnai

We study the minimally nonlinear irreversible heat engines in which the time-reversal symmetry for the systems may b e broken. The expressions for the power and the efficiency are derived, in which the effects of the nonlinear terms due to…

Statistical Mechanics · Physics 2019-09-04 Qin Liu , Wei Li , Min Zhang , Jizhou He , Jianhui Wang

We analyse non-equilibrium Carnot-like cycles built with a colloidal particle in a harmonic trap, which is immersed in a fluid that acts as a heat bath. Our analysis is carried out in the overdamped regime. The cycle comprises four…

Statistical Mechanics · Physics 2020-11-23 Carlos A. Plata , David Guéry-Odelin , Emmanuel Trizac , Antonio Prados

The constraint relation for efficiency and power is crucial to design optimal heat engines operating within finite time. We find a universal constraint between efficiency and output power for heat engines operating in the low-dissipation…

Quantum Physics · Physics 2018-10-09 Yu-Han Ma , Dazhi Xu , Hui Dong , Chang-Pu Sun

Since its inception about two centuries ago thermodynamics has sparkled continuous interest and fundamental questions. According to the second law no heat engine can have an efficiency larger than Carnot's efficiency. The latter can be…

Statistical Mechanics · Physics 2016-06-16 Michele Campisi , Rosario Fazio

We introduce a class of stochastic engines in which the regime of units operating synchronously can boost the performance. Our approach encompasses a minimal setup composed of $N$ interacting units placed in contact with two thermal baths…

Statistical Mechanics · Physics 2023-06-21 Fernando S. Filho , Gustavo A. L. Forão , D. M. Busiello , B. Cleuren , Carlos E. Fiore

We propose the minimally nonlinear irreversible heat engine as a new general theoretical model to study the efficiency at the maximum power $\eta^*$ of heat engines operating between the hot heat reservoir at the temperature $T_h$ and the…

Statistical Mechanics · Physics 2012-01-27 Yuki Izumida , Koji Okuda

We analytically derive maximum efficiency at given cooling power for Carnot-type low-dissipation refrigerators. The corresponding optimal cycle duration depends on a single parameter, which is a specific combination of irreversibility…

Statistical Mechanics · Physics 2020-05-27 Viktor Holubec , Zhuolin Ye